Question

According to a​ magazine, people read an average of more than two books in a month. A survey of 20 random individuals found that the mean number of books they read was 1.8 with a standard deviation of 1.28.

a. To test the​ magazine's claim, what should the appropriate hypotheses​ be?

b. Compute the test statistic.

c. Using a level of significance of​ 0.05, what is the critical​ value?

d. Find the​ p-value for the test.

e. What is your​ conclusion?

a. To test the​ magazine's claim, what should the appropriate hypotheses​ be?

Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.

H0​:

H1:

b. Compute the test statistic.____

c. Using a level of significance of​ 0.05, what is the critical​ value?_____

d. Find the​ p-value for the test.

e. What is your​ conclusion?

The​ p-value is _____ the chosen value of α​, so____ the null hypothesis. There is ____ evidence to conclude that mean is greater than 2.

Answer 1

Given : Sample size=n=20

Sample mean=1.8

Sample standard deviation=s=1.28

Significance level=0.05

Hypothesized value =2

a. Hypothesis : Vs  

b. The test statistic is ,

c. The critical value is ,

; From t-table

d. The p-value is ,

p-value=

The Excel function is , =TDIST(0.6988,19,1)

e) Decision : Here , p-value=0.2466>

Therefore , the fail to reject the null hypothesis.

Conclusion : There is not sufficient evidence to conclude that the mean is greater than 2.