Chapter 8, Problem 6P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A random simple is selected from a normal population with a mean of
*M* = 33.

**a.** If the sample consists of *n* = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with

**b.** If the sample consists of *n* = 64 scores, is the sample mean sufficient effect? Use a two-tailed test with

**c.** Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

**a.**

To determine

Whether the sample mean is sufficient to conclude that the treatment has a significant effect, when *n* is 16.

Explanation

**Given info:**

Samples mean (*M*) is 33, population mean is 30, standard deviation is 8, alpha level is 0.05 and sample size is 16.

**Justification:**

The null hypothesis states that there is no effect of the treatment and alternative hypothesis states opposite of null hypothesis. As given in the question that population mean is 30 and two tailed test is used, so the null hypothesis and alternative hypothesis for this question are:

The alpha level is given in the question as 0.05 and need to find boundaries of the critical region. As given in the question that two tailed hypothesis test used, so acceptance region is:

The z-score critical value at 0.975 or at

b.

To determine

Whether the sample mean is sufficient to conclude that the treatment has a significant effect, when *n* is 64.

**c.**

To determine

**To explain:** The size of the sample influences the outcome of a hypothesis test.

Sect-8.1 P-1LCSect-8.1 P-2LCSect-8.1 P-3LCSect-8.1 P-1LCASect-8.1 P-2LCASect-8.1 P-3LCASect-8.2 P-1LCSect-8.2 P-2LCSect-8.2 P-3LCSect-8.2 P-4LC

Sect-8.2 P-5LCSect-8.3 P-1LCSect-8.3 P-2LCSect-8.3 P-3LCSect-8.3 P-4LCSect-8.3 P-5LCSect-8.4 P-1LCSect-8.4 P-2LCSect-8.4 P-3LCSect-8.5 P-1LCSect-8.5 P-2LCSect-8.5 P-3LCSect-8.6 P-1LCSect-8.6 P-2LCSect-8.6 P-3LCSect-8.6 P-4LCCh-8 P-1PCh-8 P-2PCh-8 P-3PCh-8 P-4PCh-8 P-5PCh-8 P-6PCh-8 P-7PCh-8 P-8PCh-8 P-9PCh-8 P-10PCh-8 P-11PCh-8 P-12PCh-8 P-13PCh-8 P-14PCh-8 P-15PCh-8 P-16PCh-8 P-17PCh-8 P-18PCh-8 P-19PCh-8 P-20PCh-8 P-21PCh-8 P-1RECh-8 P-2RECh-8 P-3RE

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