Question

The dean of a university estimates that the mean number of classroom hours per week for​ full-time faculty is 10.0. As a member of the student​ council, you want to test this claim. A random sample of the number of classroom hours for eight​ full-time faculty for one week is shown in the table below. At α=0.10​, can you reject the​ dean's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.

10.7

8.2

12.6

7.4

4.6

9.1

13.2

8.9

​(a) Write the claim mathematically and identify H0 and Ha.

(b) Use the technology to find P-value

P= _____

(c) Decide wheather to reject or fail to reject the null hypothesis

(d.) Interpret the decision in the context of original claim

Answer 1

a) Claim: the mean number of classroom hours per week for​ full-time faculty is 10.0

Null Hypothesis

Alternative Hypothesis

Significance Level

The sample mean is

The sample Standard deviation is

Under H0, the test statistic is

Degrees of freedom = n-1= 7

b) The P-Value is 0.5255

c) Since p value is greater than significance level, Fail to Reject the null hypothesis

d) Hence, at 10% signiifcance level, we have sufficient evidenece to support the claim that the mean number of classroom hours per week for​ full-time faculty is 10.0