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8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 9, Problem 1P

Textbook Problem

Under what circumstances is a *t* statistic used instead of a ** z**-score for a hypothesis test?

Expert Solution

To determine

**To find:** The circumstances where *t*-statistic is used instead of a z-score for a hypothesis test.

The *t*-statistic is used when the population variance (or standard deviation) is unknown and sample size is small (less than 30)

The *t* statistic uses the sample variance or standard deviation in place of the unknown population values. Also, t-statistics is used when sample size is small

The *t*-statistic is used when the population variance or standard deviation is unknown.

If use a *z*-score, the information about population mean, sample mean, population standard deviation and sample size is required. Moreover, z-score works well when sample size is large whereas *t*-score are ideal for small sample size cases.

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Ch. 9.1 - Under what circumstances is a t statistic used...Ch. 9.1 - A sample of n = 9 scores has SS = 288. a. Compute...Ch. 9.1 - In general, a distribution of t statistics is...Ch. 9.1 - A researcher reports a t statistic with df = 20....Ch. 9.1 - For df = 15, find the value(s) of t associated...Ch. 9.2 - A sample of n = 4 individuals is selected from a...Ch. 9.3 - If all other factors are held constant, an 80%...Ch. 9.3 - If all other factors are held constant, a...Ch. 9.3 - A sample of n = 16 individuals is selected from a...Ch. 9.3 - How does sample size influence the outcome of a...

Ch. 9.4 - A new over-the-counter cold medication includes a...Ch. 9 - Under what circumstances is a t statistic used...Ch. 9 - A sample of n = 25 scores has a mean of M = 83 and...Ch. 9 - Find the estimated standard error for the sample...Ch. 9 - Explain why t distributions tend to be flatter and...Ch. 9 - Find the t values that form the boundaries of the...Ch. 9 - The following sample of n = 6 scores was obtained...Ch. 9 - The following sample was obtained from a...Ch. 9 - A random rumple of n = 25 individuals is selected...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment, a sample of...Ch. 9 - The spotlight effect refers to overestimating the...Ch. 9 - Many animals, including humans, tend to avoid...Ch. 9 - Standardized measures seem to indicate that the...Ch. 9 - The librarian at the local elementary school...Ch. 9 - For several years researchers have noticed that...Ch. 9 - Weinstein, McDermott, and Roediger (2010) report...Ch. 9 - Ackerman and Goldsmith (2011) found that students...Ch. 9 - A random sample of n = 16 scores is obtained from...Ch. 9 - A random sample is obtained from a population with...Ch. 9 - An example of the vertical-horizontal illusion is...Ch. 9 - McGee and Shevlin (2009) demonstrated that an...Ch. 9 - Oishi and Shigehiro (2010) report that people who...Ch. 9 - Research examining the effects of pie school child...

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