Consider the following hypothesis test: H0: = 18
Ha: ≠ 18
A sample of 48 provided a sample mean = 17 and a sample standard deviation s = 4.5.
If requires, round your answers to two decimal places.
a. Compute the value of the test statistic (to three decimal places.)
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
p-value is between and
c. What is your conclusion? t =

(a)

(b)

(c) Fail to reject

Step-by-step explanation:

Given

Solving (a): The test statistic

This is calculated as:

So, we have:

--- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

Using:

--- significance level

The p value at: is:

and the range is:

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

By comparison:

because:

Hence, the conclusion is: fail to reject