Chapter 8, Problem 7P

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9th Edition

Frederick J Gravetter + 2 others

ISBN: 9781337098120

Textbook Problem

Babcock and Marks (2010) review survey data from 2003-2005, and obtained an average of μ – 14 hours per week spent studying by full-time students at four-year colleges in the United States. To determine whether this average has changed in recent years, a researcher selected a sample of *n –* 64 of today’s college students and obtained an average of *M* = 12.5 hours. If the standard deviation for the distribution is π - 4.8 hours per week, does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test with α = .05.

To determine

Whether the sample indicates a significant change in the number of hours spent studying or not.

Explanation

**Given info:**

Samples mean (*M*) is given as 12.5, population mean is given as 14, standard deviation is given as 4.8, alpha level is given as 0.05 and sample size is given as 64.

**Calculation:**

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 14 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

Sect-8.1 P-1LCSect-8.1 P-2LCSect-8.1 P-3LCSect-8.1 P-4LCSect-8.2 P-1LCSect-8.2 P-2LCSect-8.2 P-3LCSect-8.3 P-1LCSect-8.3 P-2LCSect-8.3 P-3LC

Sect-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-3LCCh-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-22P

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