Consider the following sample data with mean and standard deviation of 20.5 and 5.4, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)

Class	Frequency
Less than 10	25
10 up to 20	95
20 up to 30	65
30 or more	15

Q1. Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are normally distributed.

A). H₀: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4.; H_A: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4.

B). H₀: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4.; H_A: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4.

Q2. Calculate the value of the test statistic. (Round intermediate values to at least 4 decimal places and final answer to 3 decimal places.)

Test Statistic =

Q3. Find the p-value.

A). p-value < 0.01

B). 0.01 p-value < 0.025

C). 0.025 p-value < 0.05

D). 0.05 p-value < 0.10

E). p-value 0.10

Q4. At the 5% significance level, what is the conclusion?

A). Reject H₀; there is not enough evidence to support the claim that the data are not normally distributed.

B). Reject H₀; there is enough evidence to support the claim that the data are not normally distributed.

C). Do not reject H₀; there is not enough evidence to support the claim that the data are not normally distributed.

D). Do not reject H₀; there is enough evidence to support the claim that the data are not normally distributed.