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 1

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

[tex]H_0[/tex] : μ = 27

[tex]H_A[/tex] : 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

PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!

Answers

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

Twenty-four cards are numbered from 1 to 24 and placed in a box. One card is selected at random
and not replaced. Another card is randomly selected. What is the probability of selecting two even
numbers?

Answers

Answer:

11/46

Step-by-step explanation:

Given that there are 24 cards numbered 1 - 24

Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24

Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23

We can see above that in the beginning, we have:

12 odd and 12 even cards (total of 24 cards)

If we draw the first card and it is even,

P(even number on first draw) = 12/24 = 1/2

If the card is not replaced, now we have:

12 odd cards and 11 even cards (total of 23 cards)

If we draw the 2nd card and it is even,

P(even number on second draw) = 11/23

Hence probabliliy of drawing the first even card, not replacing and then drawing another even card

= (1/2) x (11/23)

= 11/46

Answer:

11/46

Step-by-step explanation:

between 1  and 24 there are 12 even numbers.

the probability of selecting an even number the first time is 12/24 = 1/2

the probability of the second one being an even number without replacement is 11/23

the probability of both being even numbers without replacement is:

1/2 * 11/23

= 11/46

A theater group is having a carwash fundraiser. The group can only wash 45 cars with the amount of soap they purchased. Each car is charged $7. The function f(c) = 7c represents the amount of profit they make per car. Which inequality represents its domain?

Answers

Answer:

The domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

Step-by-step explanation:

The given function is

[tex]f(c)=7c[/tex]

Where [tex]c[/tex] represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

(Notice that we specify that the independent valur can only use whole positive numbers only).

David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired

Answers

Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.



If U = 6 feet, V = 8 feet, W = 3 feet, X = 6 feet, Y = 12 feet, and Z = 4 feet, what is the area of the object?
A. 72 square feet
B. 60 square feet
C. 78 square feet
D. 132 square feet

Answers

Answer:

idk

Step-by-step explanation:

Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x

Answers

Answer:

[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]

Thus,  asymptote has the slope of

[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]

4.  The equation of the hyperbola is

[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

Answer: c

Step-by-step explanation: edge 23

Estimate the difference to the nearest 10th 0.612-0.185

Answers

Answer:

0.4

Step-by-step explanation:

Round 0.600 - 0.200 = 0.4

Suppose b is any integer. If b mod 12 = 5, then 7b mod 12

Answers

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

The equation y = 15x represents the total number of pages read in x days.


Use the equation to complete the table.


a =

b =

c =

d =

Answers

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Sara uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls

Answers

Answer:  2.3

Step-by-step explanation:

9.2 is divided  by 4 is 2.3 so the last quarter is 2.3

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
area: about in 2

Answers

Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

plzzz help me im Marshmello

Answers

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

x < -36

Step-by-step explanation:

Subtract 14 from both sides:

14 + x < -22

-14         - 14

___________

x < -36

The difference between a number m and the product of m and n.



Pls help fast!

Answers

Answer:

m-mn

Step-by-step explanation:

Answer:

m-mn

Step-by-step explanation:

The product would be multiplacation.

m*n=mn

And you are subtracting that from m.

So, the answer would be m-mn.

Hope this helped.

Please Help ASAP Correct answer will get brainliest!!!!!


Please I am so desperate.

Answers

Answer:

27 m² (blue fabric)

9 m² (brown fabric)

Step-by-step explanation:

Area of a triangle = 1/2*base *height

Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)

Area of a square = side² = 3² = 9 m² (brown fabric)

Find the surface area of the prism. 3m, 12m, 13m, 5m

Answers

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

Answers

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, 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 college students watch fewer movies a month than high school students.

Is a quadrilateral a trapezoid? (True or False)

PLEASE HELP QUICKLY THANK YOU ​

Answers

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

which expression cannot be simplified? A.8x-8 B.8x-x C.8x+5x D.(8+5)x E.-(x+x) why

Answers

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day

Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?

Answers

Answer:

I will prefer the cone having volume 21.21 cubic inches.

Step-by-step explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

         V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]

           = [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]

           = 7.069

           ≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³

According to the picture, whats the answer?

Answers

To do this u need to muliple each side or use Socratic

3 1/2 cups as a multiplication expression using the unit 1 cup

Answers

Answer:

4 1/2

Step-by-step explanation:

rewrite the equation as y-2=-2/3(x-(-1)) to identify a point on the graph

Answers

Answer:

  point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

  y -k = m(x -h)

Comparing this to your given equation ...

  y -2 = (-2/3)(x -(-1))

we see that ...

  k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

Answer:

point (-1,2)

Step-by-step explanation:

Evaluate the compositions indicated for the given functions. f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1))) = ?

Answers

Answer:

it’s a

Step-by-step explanation:

Answer:

First answer is -16, second answer is 10

Step-by-step explanation:

Just did it on Edge

Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an excellent credit score. How much is the interest at the end of the second month if their first month’s payment is $925.67?


Secured Unsecured

Credit APR (%) APR (%)

Excellent 4.75 5.50

Good 5.00 5.90

Average 5.85 6.75

Fair 6.40 7.25

Poor 7.50 8.40




$381.29



$352.95



$379.36



$300.15

Answers

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option

PLEASE HELP

Find the length of BC

Answers

Answer:

BC or n=72

Step-by-step explanation:

ABC≈DEF

[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]

[tex]\frac{54}{9} =\frac{n}{12}[/tex]

[tex]9n=54*12[/tex]

[tex]9n=648[/tex]  (then divide both sides by 9.)

[tex]n=72[/tex]

What is the value of the following expression when p = 9? 6p+5

Answers

Find the value of the expression when p equals 9.

So to solve the expression: 6p + 5

We have to plug in the 9 for p

6p + 5 = ?

6(9) + 5 = ?

Then, we multiply solve.

6 x 9 = 54

54 + 5 = 59

Thus, the final value of the expression is 59.

The value of the expression when p is equal to 9 is 59.

Given that,

Expression; [tex]\rm 6p+5[/tex]

We have to determine,

The value of p when p is equal to 9?

According to the question,

Expression; [tex]\rm 6p+5[/tex]

To determine the value of p the calculation must be done in following steps following all the steps given below.

Step1; Substitute the value of p in the expression,

                   [tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]

Step2; Solving the expression,

                    [tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]

Hence, The required value of the expression when p is equal to 9 is 59.

For more details refer to the link given below.

https://brainly.com/question/18334317

Evelyn bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 36%. During the second year the value of the stock decreased by 20%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.

Answers

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

What are rational number

Answers

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Please help for the 3rd time and not the last time either (:

Answers

Reflection across y and x
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