1. The Wall Street Journal reported that bachelor’s degree recipients with majors in business average starting salaries of $53,900 in 2012 (The Wall Street Journal, March 17, 2014). The results for a sample of 100 business majors receiving a bachelor’s degree in 2013 showed a mean starting salary of $55,144 with a sample standard deviation of $5,200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012. Use a = .01 as the level of significance
Answers
Answer:
The calculated value t = 4.976 > 2.6264 at 0.01 level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
The mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012
Step-by-step explanation:
Given Mean of the population μ = $53,900
Given sample size 'n' = 100
Mean of the sample size x⁻ = 55,144
Sample standard deviation 'S' = 5200
Null hypothesis:H₀: There is no difference between the means
Alternative Hypothesis :H₁: The mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012
Test statistic
\(t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)
\(t = \frac{55144-53900}{\frac{5200}{\sqrt{100} } }\)
t = 4.976
Degrees of freedom
ν = n-1 = 100-1 =99
t₀.₀₁ = 2.6264
The calculated value t = 4.976 > 2.6264 at 0.01 level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
Final answer:-
The mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012
Answer:
We conclude that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012.
Step-by-step explanation:
We are given that the Wall Street Journal reported that bachelor’s degree recipients with majors in business average starting salaries of $53,900 in 2012.
A sample of 100 business majors receiving a bachelor’s degree in 2013 showed a mean starting salary of $55,144 with a sample standard deviation of $5,200.
Let \(\mu\) = mean starting salary for business majors in 2013.
So, Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) $53,900 {means that the mean starting salary for business majors in 2013 is smaller than or equal to the mean starting salary in 2012}
Alternate Hypothesis, \(H_A\) : \(\mu\) > $53,900 {means that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012}
The test statistics that would be used here One-sample t-test statistics because we don't know about population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) ~ \(t_n_-_1\)
where, \(\bar X\) = sample mean starting salary = $55,144
s = sample standard deviation = $5,200
n = sample of business majors = 100
So, the test statistics = \(\frac{55,144-53,900}{\frac{5,200}{\sqrt{100} } }\) ~ \(t_9_9\)
= 2.392
The value of t-test statistic is 2.392.
Now, at 0.01 significance level the t table gives a critical value of 2.369 at 99 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 2.392 > 2.369, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012.
Related Questions
Slope of the line that passes through (6,0) and (0,-6)
Answers
Hey there!
The formula is:
• m = rise / run
• m = y₂ – y₁ / x₂ – x₁
• y₂ = –6
• y₁ = 0
• x₂ = 0
• x₁ = 6
• Equation: “–6 – 0 / 0 – 6”
–6 – 0 = –6 ⬅️ numerator (TOP number)
0 – 6 = –6 ⬅️ denominator (BOTTOM number)
Equation: –6 / –6
SOLVE above and you will have your ANSWER.
–6 / –6 = 1 because double negatives makes a negative.
The slope of line that passes through your given points is: 1
Answer: 1 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Among all pairs of numbers whose difference is 24, find
pair whose product is as small as possible. What is the
minimum product?
Answers
9514 1404 393
Answer:
-144
Step-by-step explanation:
Let x represent the number halfway between the two numbers of interest. Then the product is (x -12)(x +12) = x² -144. This product will be a minimum when x = 0. That product will be ...
(-12)(12) = -144
Circle describe and correct each error Graph y-5(x-2)Point =(5, 2)M=3
Answers
Solution;
\(\begin{gathered} y-5=3(x-2) \\ y-5=3x-6 \\ y=3x-1 \\ \end{gathered}\)\(\begin{gathered} Slope(m)=3 \\ \end{gathered}\)\(\begin{gathered} Intercept\text{ on x axis; ie y=o} \\ 3x=1 \\ x=\frac{1}{3} \end{gathered}\)\(\begin{gathered} Intercept\text{ on y axis; ie x=0} \\ y=-1 \end{gathered}\)To the describe the error on the graph;
The graph is supposed to pass through point(1/3, -1).
HELP HELP HELP First to "help" rather than just answer with a random thanks for the points kinda response gets brainliest
Answers
Hope this helps :)
This is the answer
15. Mohammed has $8376 in his bank account. In the next month he takes out $4595 to buy a car. He then buys some new tires for his car for $1200. The next day, he receives his salary of $2709 in his bank account. How much is in his account at the end of the month?
Answers
By doing addition and subtraction of integers, the result obtained is
Mohammed had $5290 at the end of the month
What is addition and subtraction of integers?
At first it is important to know about integers
Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.
Suppose there are many integers, and we need to find the sum total of all those integers, then the operation used in this case is called addition.
To find how big or small one integer is from the other, then the operation used is called subtraction of integers.
Here we will use addition and subtraction of integers
Bank balance of Mohammed = $8376
Amount of money taken out by Mohammed next month to buy a car = $4595
Amount of money needed to buy new tires for his car = $1200
Amount of salary received by Mohammed next day = $2709
Amount of money Mohammed had at the end of the month =
$(8376 - 4595 - 1200 + 2709)
= $5290
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Emily volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go.
On Saturday, 416 people went to The Youth Wing, 448 people went to Social Issues, and 341 went to Fiction and Literature. On Sunday, the library had 500 total visitors.
Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answers
We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.
What in mathematics is a whοle number?Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.
The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:
Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%
Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%
We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:
Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)
Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185
We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.
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Urgent please help! The high temperature in Garland dropped 3 degrees each day for five days straight. Which expression could NOT be used to find the total temperature change over the five days?
Answers
Answer:
First, see what is the temperature is on the first day before it dropped now on the fifth day see how much it drop from the first day to the last day hope this helped.
Step-by-step explanation:
Answer:
bababaqiooooooo
Step-by-step explanation:
i need help on this too
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
Answers
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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The data show the number of pieces of mail delivered to a single home address each day for three weeks.4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2Which statement is true about a graph representing the data? Check all that apply.The number line of a dot plot would start at 1.A dot plot would show 7 points for numbers greater than 2.The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.A histogram would have a maximum of 7 bars.A histogram should not show a bar that includes 0 pieces of mail.
Answers
A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.
Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.
Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.
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Use the distance and slope formula to prove that qaudlateal ABCD IS A PARLLAGRAM
Answers
Answer:79
Step-by-step explanation:
how do you work common core math
Answers
solve for p..........
Answers
Answer:
the answer is p = 15
Step-by-step explanation:
first you set the equation to 2p + 9 = 3p - 6
then solve out the equation by adding 6 to both sides
the equation will now look like this, 2p + 15 = 3p
now you subtract 2p from both sides
the equation now looks like 15 = p
I always flip my equations so I can read it better,
p = 15
Hope this helps! :)
The record for jumping from
one dog's ear to the other
is 94 mm.
1. Flo Flea jumped 87 mm. Flo
missed the record by how
many mm?
2. Flynn Flea jumped 93 mm.
Sadly, he did not beat the
record. But how much farther
did he jump than Flo?
Answers
1. Flo Flea missed record for jumping from one dog's ear to the other by 7 mm and 2. Flynn Flea missed record by 1 mm.
Explain about the subtraction of the number?When examining what two objects do not have in common, it is typical to start with their differences.
Measuring the difference among two numbers is an illustration of difference in mathematics. Take the larger number and deduct the smaller one to determine the difference between two. For instance, 15 – 10 = 5 is the difference between 10 and 15.The separation between two values is the difference. The difference will always be nonnegative because distance is never negative.Given data:
Jumping record = 94 mm.Flo Flea' jump = 87 mmFlynn Flea's jump = 93 mm1. Subtract Flo Flea' jump from Record for jumping to get the number for record missed.
= 94 - 87
= 7 mm
Flo Flea missed record by 7 mm.
2. Subtract Flynn Flea' jump from Record for jumping to get the number for record missed.
= 94 - 93
= 1 mm
Flynn Flea missed record by 1 mm.
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PLEASE HELP————————-
Answers
find the lettered angles in the figure below (O is the centre of each circle)
Answers
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46
u = 180 - t = 180 - 46 = 134
v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23
Step-by-step explanation:
the right rectangular prism is filled with 1/3 foot unit cubes
Answers
Answer:
Dimension:
Length = 4 units
Width = 3 units
Height = 3 units
The number of cubes in the prism is 36
The volume of the prism is 12 cubic feet
Explanation:
The dimension of the prism is:
Length = 4 units
Width = 3 units
Height = 3 units
The number of cubes in the prism is:
4 × 3 × 3 = 36
There are 36 cubes
The volume of the prism is:
V = lwh
Where l, w and h represent the length, width and height of the prism respectively.
Since the prism is filled with 1/3 foot unit cubes, we have
V = 1/3 (lwh)
lwh = 36 cubes
= 1/3 (36)
= 12 cubic feet
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
Answers
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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What is the value of n in 2n+1=3
Answers
2n=3-1
2n=2
n=1 is the answer
Answer:
n=1
Step-by-step explanation:
2n+1-1=3-1
2n=2 divide both sides by two
n=1
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What is the median of the data set below? 12, 11, 14, 14, 14, 12, 7
Answers
Median is the Middle number
1. Sort the numbers until they are all in value order
2. Find the middle number
So the answer would be 12
Answer:
Median = 12
Step-by-step explanation:
12, 11, 14, 14, 14, 12, 7
Arranging the given data in ascending order, we find:
7, 11, 12, 12, 14, 14, 14
Here,
Number of observations (N) = 7
\( \therefore \: \frac{N + 1}{2} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ median \: = 4th \: term \\ \huge \red{ \boxed{median = 12}}\)
3. Find the surface area of the cylinder shown below.
Answers
Answer:
\(80\pi {cm}^{2} \)
or 251.2 cm^2
hope it's helpful ❤❤❤
THANK YOU.
The curved surface area using the formula 2πrh is, 80π cm².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, A cylinder having a height of 8 cm and a radius of 5 cm.
Therefore, The curved surface area of this cylinder having a height of 8 cm and a radius of 5 cm is,
= 2×π×5×8 cm².
= 80π cm².
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Solving absolute inequalities
|2x - 11 - 5 > 14
Answers
A circular rug is cut from a square piece of carpet. Each side of the square piece of Carpet is 40 inches long. After cutting out the circular rug, approximately how much carpet will be left over?
Answers
Answer:
Below
Step-by-step explanation:
Area of square - area of circle = remnant area of circle = pi r^2
(40 x 40) - pi (20^2) = 343 . 4 in^2 left over
( this assumes the circle touches the edges of the square)
what is the value of 3⁴
Answers
Answer:
81 ............................
Answer:
81
Step-by-step explanation:
just multiply 3 to itself 4 times.
Plz help i need to do number 12 i need the area and perimeter make sure you round to the nearest whole number
Answers
Answer:
Area= 24 and perimeter equals 12
Step-by-step explanation:
Answer:
I think the perimeter is 18mm
Step-by-step explanation:
i assume that the curve is 6mm I take 6+6+2+2=18
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
Answers
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)
Answers
Answer:
What are you trying to ask.
Step-by-step explanation:
Please Write in a understandable manner.
Thanks from India.
find the surface area
Answers
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answers
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
Mario needs a loan to buy a tractor for his farm. He qualified for a loan at 2 different banks.
.
First Bank of Trust
Loan Amount: $25,000
Annual Simple Interest
Rate: 6.5%
Loan Length: 4 years
What is
.
Enter your answer in the box.
.
Valor Bank
Loan Amount: $25,000
Annual Simple Interest
Rate: 4%
Loan Length: 6 years
total amount Mario will pay, including loan amount and interest, for the First Bank of Trust loan?
Answers
Answer:$31,500
Step-by-step explanation:
To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.
The formula to calculate simple interest is:
Interest = (Loan Amount) x (Interest Rate) x (Loan Length)
Let's plug in the values given:
Loan Amount = $25,000
Interest Rate = 6.5% (or 0.065 as a decimal)
Loan Length = 4 years
Interest = $25,000 x 0.065 x 4 = $6,500
Now, let's calculate the total amount Mario will pay:
Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500
Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.
L=wh/a(w+p) Make w the subject of the formula
Answers
Answer:
w = lap/ h - la
Step-by-step explanation:
1 Multiply both sides by a(w+p)a(w+p).
la(w+p)=wh
2 Expand.
law+lap=wh
3 Subtract law from both sides.
lap=wh-law
4 Factor out the common term w.
lap=w(h-la)
5 Divide both sides by h-la.
lap/h - la = w
6 Switch sides.
w = lap/ h - la