Question 4 (1 point) aal In a study to determine whether counseling could help p

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Question 4 (1 point) aal In a study to determine whether counseling could help people lose weight, a sample of people experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 5 people 18.2, 3.9, 17.1, 8.8, 9.6 It is reasonable to assume that the population is approximately normal. A researcher wants to kno. wiisther the loss is greater than 10 pounds. Compute the P-value of the test. n weight Write down your P-value. You will need it for the next question. Write only a number as your answer. Round to four decimal places (for example: 0.3841). Your Answer: Answer Question 5 (1 point) the last question, a researcher wants to know whether the mean weight loss is greater than 10 pounds. What is the conclusion at the 0.05 level of significance? There is evidence to conclude that the mean weight loss is greater than 10 pounds. O There is not enough C There is evidence to conclude that the mean weight loss is not greater than 10 pounds. idence to conclude that the mean weight loss is greater than 10 pounds. There is not enough evidence to conclude that the mean weight loss is not greater than 10 pounds

Explanation / Answer

4.
Given that,
population mean(u)=10
sample mean, x =11.52
standard deviation, s =6.0189
number (n)=5
null, Ho: =10
alternate, H1: >10
level of significance, = 0.05
from standard normal table,right tailed t /2 =2.132
since our test is right-tailed
reject Ho, if to > 2.132
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =11.52-10/(6.0189/sqrt(5))
to =0.5647
| to | =0.5647
critical value
the value of |t | with n-1 = 4 d.f is 2.132
we got |to| =0.5647 & | t | =2.132
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value :right tail - Ha : ( p > 0.5647 ) = 0.30122
hence value of p0.05 < 0.30122,here we do not reject Ho
ANSWERS
---------------
null, Ho: =10
alternate, H1: >10
test statistic: 0.5647
critical value: 2.132
decision: do not reject Ho
p-value: 0.30122 =0.3012

5.
conclusion
there is not enough evidence to conclude that the mean weight loss is greater than 10 pounds

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