To test H0:? = 100 versus H1: ? > 100, a simple random

Chapter 6, Problem 5RE

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QUESTION:

Problem 5RE

To test H0:μ = 100 versus H1: μ > 100, a simple random sample of size n = 35 is obtained from an unknown distribution. The sample mean is 104.3 and the sample standard deviation is 12.4.

(a) To use the t-distribution, why must the sample size be large?

(b) Use the classical or P-value approach to decide whether to reject the statement in the null hypothesis at the α = 0.05 level of significance.

Questions & Answers

QUESTION:

Problem 5RE

To test H0:μ = 100 versus H1: μ > 100, a simple random sample of size n = 35 is obtained from an unknown distribution. The sample mean is 104.3 and the sample standard deviation is 12.4.

(a) To use the t-distribution, why must the sample size be large?

(b) Use the classical or P-value approach to decide whether to reject the statement in the null hypothesis at the α = 0.05 level of significance.

ANSWER:

Problem 5RE

Answer:

Step1:

a).

The sample size must be large to use the Central Limit Theorem because the distribution of the population may not be normal.

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