Chapter 8, Problem 9P

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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* = 96.

**a.** How large a sample is necessary for this sample mean to be statistically significant? Assume a two-tailed test with

**b.** If the sample mean were *M* = 98, what sample size would be needed to be significant for a two-tailed test with

**a.**

To determine

How large the sample size should be so that sample mean is statistically significant.

Explanation

**Given info:**

Samples mean (*M*) is 96, population mean is 100, standard deviation is 20 and alpha level is 0.05.

**Calculation:**

The sample mean is statistically significant when calculated value is greater than the critical value. For calculating critical value alpha level is given as 0.05:

Now check the value of *z*-score in z table at 0.975 then the *z*-score is
*z*-value with the given data is calculated as:

Where

Substitute the standard error in z-score then:

The *z* score is,

**b.**

To determine

How large the sample size should be so that sample mean is statistically significant.

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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