Question

A sample of 9 days over the past six months showed that a dentist treated the following numbers of patients at his dental clinic: 23, 26, 21, 18, 15, 23, 25, 20, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a 0.10 level of significance.

1. State the Null and Alternative hypotheses.

2. Find the value of test statistic (round answer to three decimal places)

3. Find the P-Value (round your anser to four decimal places).

4. State your conclusion (choose a thru d):

a. Do not reject H₀. We can conclude that the variance in the number of patients seen per day is not equal to 10.

b. Reject H₀. We can conclude that the variance in the number of patients seen per day is not equal to 10.

c. Reject H₀. We cannot conclude that the variance in the number of patients seen per day is not equal to 10.

d. Do not reject H₀. We cannot conclude that the variance in the number of patients seen per day is not equal to 10.

Answer 1

The statistical software output for this problem is :

H₀ : σ² = 100
H_A : σ² ≠ 100

Test statistics = 1.129

P-value = 0.0054

b. Reject H₀. We can conclude that the variance in the number of patients seen per day is not equal to 10.