Medical researchers conducted a national random sample of the body mass index (BMI) of 654 women aged 20 to 29 in the U.S. The distribution of BMI is known to be right skewed. In this sample the mean BMI is 26.8 with a standard deviation of 7.42. Are researchers able to conclude that the mean BMI in the U.S. is less than 27? Conduct a hypothesis test at the 5% level of significance using StatCrunch (directions) or calculating T and using the T-Distribution Calculator above. Based on your hypothesis test, what can we conclude?
Answers
Answer:
Check the explanation
Step-by-step explanation:
The distribution is right skewed but the sample size is large so we can use t - test here. The statistical software output for this problem is:
One sample T hypothesis test:
μ : Mean of population
\(H_0\) : μ = 27
\(H_A\) : μ < 27
Hypothesis test results:
Mean Sample Mean Std. Err. DF T-Stat P-value
μ 26.8 0.29014496 653 -0.68931061 0.2454
Since p - value > 0.05, do not reject .
Hence,
With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.
Related Questions
Find the volume.
Pls help!
Answers
Answer:
72 in^3
Step-by-step explanation:
Volume: lwh
V = 6 · 3 · 4
V = 18 · 4
V = 72 in^3
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answers
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
A store sells six-packs of soda for $3:00 a six pack.
If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?
Answers
Answer:
y=1/2x
Step-by-step explanation:
How many sides does a regular polygon have if each interior angle measures 150°?
Answers
Answer:
12
Step-by-step explanation:
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
There are 80 marbles in a bin and 75% of the marbles are red. How many red marbles are the bin?
Answers
Answer:
60 red marbles
Step-by-step explanation:
75% of 80
Or 0.75 × 80 =60
Find the area of a rectange with a base of 3/7 feet and a height of 9/10 feet
Answers
The area of the rectangle is 27/70 square feet.
Area of a rectangleThe area of a rectangle is given by the formula:
Area = base x height
Plugging in the given values, we get:
Area = (3/7) x (9/10)
Simplifying, we get:
Area = (27/70) square feet
Therefore, the area of the rectangle is 27/70 square feet.
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Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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PLEASEEEEE HELP MEEEEEE
Answers
Answer:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Step-by-step explanation:
To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.
Given:
Cruise ship velocity (south): 22 mph
Gulf Stream velocity (east): 4 mph
A) Vector component for the cruise ship:
The cruise ship is traveling south, so its velocity vector is (0, -22).
B) Vector component for the Gulf Stream:
The Gulf Stream is flowing east, so its velocity vector is (4, 0).
C) Resultant vector:
To find the resultant vector, we'll add the two velocity vectors together:
Resultant vector = Cruise ship velocity + Gulf Stream velocity
Resultant vector = (0, -22) + (4, 0)
Resultant vector = (0 + 4, -22 + 0)
Resultant vector = (4, -22)
D) Resultant velocity:
The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:
Resultant velocity = sqrt((x-component)^2 + (y-component)^2)
Resultant velocity = sqrt((4)^2 + (-22)^2)
Resultant velocity = sqrt(16 + 484)
Resultant velocity = sqrt(500)
Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)
E) Resultant direction:
The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.
Resultant direction = arctan(y-component / x-component)
Resultant direction = arctan(-22 / 4)
Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)
Therefore, the answers are:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
2 QUESTIONS FOR DOUBLE THE POINTS!! 20 POINTS!!
Xavier bought a 20 ounce smoothie that contains 450 total calories. How many calories does the smoothie contain per ounce?
Caleb bought a box of 20 pretzel rods for $4.40. What is the price per pretzel rod?
Group of answer choices
Caleb bought a box of 20 pretzel rods for $4.40. What is the price per pretzel rod?
Group of answer choices
Answers
Answer:
22.5oz and 0.22$
Step-by-step explanation:
Let f(x) = 2(x-3)^2
Write a function g whose graph is a reflection in the x-axis of the graph of f.
g(x) =
Answers
The reflected form of \(f(x) = 2\cdot (x-3)^{2}\) in the x-axis is \(g(x) = -2\cdot (x-3)^{2}\).
Mathematically speaking, a reflection of \(f(x)\) in the x-axis is represented by the following formula:
\(g(x) = -f(x)\) (1)
Where:
\(f(x)\) - Original function.\(g(x)\) - Reflected function.Let be \(f(x) = 2\cdot (x-3)^{2}\), then \(g(x)\) is:
\(g(x) = -2\cdot (x-3)^{2}\) (2)
Now we present a comparison between \(f(x)\) and \(g(x)\) in the image attached below.
The reflected form of \(f(x) = 2\cdot (x-3)^{2}\) in the x-axis is \(g(x) = -2\cdot (x-3)^{2}\).
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What is the slope of the line y=-4
Answers
Answer:
The slope is zero
Step-by-step explanation:
y = -4 is a horizontal line
Horizontal lines have a slope of zero
Hello there! The line y=-4 is a horizontal line and the slope of horizontal lines is 0.
Why? Because we calculate the slope using the formula Rise/Run. The rise is 0 (how many units we go up) so no matter what the run is, if we divide 0 by any number, we will get 0 100%.
Hope this helps you!
~Just a joyful teen
\(SilentNature :)\)
which value of x makes this inequality true? x+9<4x
Answers
Answer:
Step-by-step explanation:
x+9
Let x, be 4
4+9=13
given condition,
x+9<4x
4+9<4(4)
13<16
The answer is:
x > 3Work/explanation:
Our inequality is:
\(\sf{x+9 < 4x}\)
Flip it
\(\sf{4x > x+9}\)
Solve
\(\sf{4x-x > 9}\)
Combine like terms
\(\sf{3x > 9}\)
Divide each side by 3
\(\sf{x > 3}\)
Hence, x > 3Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
![Find the missing side. 31 Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/9Wo53l4VJj28ga8aoyl87alnvnYAbri4.jpeg)
Answers
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answers
Answer:
12.12%
Step-by-step explanation:
We have that the formula is given by:
A = p * e ^ (r * t)
From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19
if we replace we have:
200000 = 20000 * e ^ (19 * r)
we must calculate r:
e ^ (19 * r) = 200000/20000
e ^ (19 * r) = 10
19 * r = ln 10
r = ln 10/19
r = 0.1212
In other words, the rate of growth is 12.12%
Answer:
12.1%
Step-by-step explanation:
0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
Answers
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, x, it will take Harper before she can purchase her school pictures?
Answers
Answer:
It will take 6 weeks
Step-by-step explanation:
Weeks = x
$18x = $108
X = $108/$18
X = 6
So 6 weeks
Is it true or false and why ?
Answers
Answer:
TRUEHope that helps!Step-by-step explanation:
Answer: True
Step-by-step explanation:
Because the 2 equations are eqivalent
Mabel bought b bags of beans. There are 15 beans in each bag. Write an expression that shows how many beans Mabel bought.
Answers
Answer:
y= x+15
Step-by-step explanation:
I think that will be your equation
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Which rectangle has side lengths of 5 units and 4 units?
A(3, 3), B(3, 6), C(8, 6), D(8, 3)
A(3, 3), B(3, 7), C(8, 7), D(8, 3)
A(3, 3), B(3, 7), C(7, 7), D(7, 3)
A(3, 3), B(3, 8), C(8, 8), D(8, 3)
Answers
The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)
What is distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).
For a rectangle, the opposite sides are equal this means AB = C D and CB = AD
To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).
line AB = √0+16= 4units
line AD = √((8– 3)² + (3– 3)²).
line AD = √25+0
line AD = 5 units
therefore the sides of the rectangle are 5units and 4 units.
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What is the sum? (4x - 3) + (-2x + 5)
Answers
Answer:
2x+2
Explanation:
if one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing an ace?*
1/2
1/13
1/52
1/4
Answers
Answer:
1/13
Step-by-step explanation:
If there are 4 suits in a deck of cards, there are only 4 aces inside a complete deck. That means the probability of drawing an ace is 4/52 and just simply simplify the answer to 1/13. (4/52, 2/26, 1/13) Hope that helps!
Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values? List five different outcomes and their associated y values.
Answers
Answer:
Outcomes are { L, RL, AL, RAL, ARL }
Associated X values are { 1, 2, 2, 3, 3 }
Step-by-step explanation:
As given,
left = (L),
right = (R)
goes straight ahead = (A)
Now,
The Sample space become = { L, RL, AL, RAL, ARL }
In L -
Number of cars = 1
In RL-
Number of cars = 2
In AL-
Number of cars = 2
In RAL-
Number of cars = 3
In ARL-
Number of cars = 3
4=36÷ answer please help me
Answers
Answer:
4= 36 ÷ 9
Step-by-step explanation:
Answer:
4=36/9
Step-by-step explanation:
Find the missing number by diving the number on the opposite side of the = sign.
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answers
Answer:
1023/4
Step-by-step explanation:
shown in the picture
Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations. What is the probability that the sample mean is larger than 8?
Answers
Answer:
\(\dfrac{2}{3}\)
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean = \(\dfrac{6+10}{2}\)
= \(\dfrac{16}{2}\)
= 8
For (6,12) ; The sample mean = \(\dfrac{6+12}{2}\)
= \(\dfrac{18}{2}\)
= 9
For (10, 12) ; The sample mean = \(\dfrac{10+12}{2}\)
= \(\dfrac{22}{2}\)
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\)
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) = \(\dfrac{1}{3}+\dfrac{1}{3}\)
P(X > 8) = \(\dfrac{1+1}{3}\)
P(X> 8) = \(\dfrac{2}{3}\)
The points L, M,N and O all lie on the same line segment, in that order , such that the ratio of LM: MN: NO is equal to 1 : 5 : 1. If LO=21, find MN
Answers
Answer: MN = 15
Step-by-step explanation:
1x+5x+1x=21
1x=3 (Length of the Segment with 1)
5*3=15
A line segment is also a line but a line with finite length and fixed endpoints. The length of line segment MN is 15 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but a line with finite length and fixed endpoints.
Given that the ratio of LM: MN: NO is equal to 1: 5: 1. Therefore, we can write,
LM : MN : NO = 1:5:1
If the ratio is multiplied by x, which is the factor that brings the ratio to its original value,
LM : MN : NO = 1x : 5x : 1x
Therefore, The length of the sides LM, MN, and NO are 1x, 5x, and 1x, respectively.
Now, since the length of LO is 21 units, it is made by joining LM, MN, and NO. Therefore, we can write,
LO = LM + MN + NO
21 = 1x + 5x + 1x
21 = 7x
x = 21 /7
x = 3
Further, the length of line segment MN is,
MN = 5x
= 5(3)
= 15 units
Hence, the length of line segment MN is 15 units.
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HELP 100 POINTS!!!!!!!!!!!
Answers
Answer:
The correct answer is 385
Step-by-step explanation:
Just add all of the negative results together.
Hope this helps:) Goodluck!
Answer:
400
Step-by-step explanation:
given that 25 and 375 are negative result if we sum them up that should be 400
Can some one help me with this i will give branlist
Answers
The values of the sides a and d are 8.5 and 2.3 respectively to the nearest tenth using the trigonometric ratios of sine and tangent.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin 45° = 6/a {opposite/hypotenuse}
a = 6 × sine 45°
a = 2.3094
tan 60° = 4/d {opposite/adjacent}
d = 4 × tan 45 {cross multiplication}
d = 2.3094.
Therefore, the values of the sides a and d are 8.5 and 2.3 respectively to the nearest tenth using the trigonometric ratios of sine and tangent.
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Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
Answers
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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