PLEASE ANSWER ALL THE QUESTIONS When 40 people used the Weight Watchers diet for

Question

PLEASE ANSWER ALL THE QUESTIONS

When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0 lb.

A) What is the format of H0?

B) What is the format of H1?

C) What number goes in the blank for the hypotheses?

D) Which distribution should be used for the test statistic and critical value?   is it student distribution T ornormanl ditribution Z or Chi-square distribution (X) or F distribution (F)

F) What is the value of the test statistic? Round your answer to three decimal places.

G) Will the critical value(s) be positive, negative, or one of each?

H) What is the critical value(s)?

Enter the answer rounded to three decimal places. If the critical value is plus/minus, just enter the positive value. You indicated in the last question that it should be plus/minus.  If the critical value is a negative number, please type the negative sign.

I)  What is your conclusion? is it to reject th nell hypothesis or to fail to reject the nail hypothesis

J) what is the appropriate conclusion??

-There is sufficient evidence to support the claim that the mean outcome from the loaded die is different from 3.5.

-There is NOT sufficient evidence to support the claim that the mean outcome from the loaded die is different from 3.5..

-There is NOT sufficient evidence to warrant rejection of the claim that the mean outcome from the loaded die is different from 3.5..

-There is sufficient evidence to warrant rejection of the claim that the mean outcome from the loaded die is different from 3.5..

K) Based on the results above, is there statistic significance to support the effectiveness of the diet? Explain.

L) Does the diet appear to have practical significance? Explain

Explanation / Answer

Given that,
population mean(u)=0
sample mean, x =3
standard deviation, s =4.9
number (n)=40
null, Ho: =0
alternate, H1: >0
level of significance, = 0.01
from standard normal table,right tailed t /2 =2.4258
since our test is right-tailed
reject Ho, if to > 2.4258
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =3-0/(4.9/sqrt(40))
to =3.872
| to | =3.872
critical value
the value of |t | with n-1 = 39 d.f is 2.4258
we got |to| =3.872 & | t | =2.4258
make decision
hence value of | to | > | t | and here we reject Ho
p-value :right tail - Ha : ( p > 3.8722 ) = 0.0002
hence value of p0.01 > 0.0002,here we reject Ho
ANSWERS
---------------
a.
null, Ho: =0
b.
alternate, the mean weight loss is greater than 0 lb. H1: >0
d.
student distribution T
f.
test statistic: 3.872
g.
positive
f.
critical value: 2.4258
i.
decision: reject Ho
p-value: 0.0002

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