Consider the following sample data with mean and standard deviation of 20.1 and 7.4, respectively.(You may find it useful to reference the appropriate table:chi-square tableorF table)

Class Frequency

Less than 10 27

10 up to 20 84

20 up to 30 73

30 or more 16

n= 200

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

• H₀: The data are normally distributed with a mean of 20.1 and a standard deviation of 7.4.;H_A: The data are not normally distributed with a mean of 20.1 and a standard deviation of 7.4.
• H₀: The data are not normally distributed with a mean of 20.1 and a standard deviation of 7.4.;H_A: The data are normally distributed with a mean of 20.1 and a standard deviation of 7.4.

b-1.Calculate the value of the test statistic.(Round thezvalue to 2 decimal places, all other intermediate values to at least 4 decimal places and final answer to 3 decimal places.)

b-2.Find thep-value.

• p-value < 0.01
• p-value>_0.10
• 0.05<_p-value < 0.10
• 0.025<_p-value < 0.05
• 0.01<_p-value < 0.025

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

• RejectH₀; there is enough evidence to support the claim that the data are not normally distributed.
• Do not rejectH₀; there is enough evidence to support the claim that the data are not normally distributed.
• Do not rejectH₀; there is not enough evidence to support the claim that the data are not normally distributed.
• RejectH₀; there is not enough evidence to support the claim that the data are not normally distributed.