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9th Edition

Frederick J Gravetter + 2 others

Publisher: Cengage Learning

ISBN: 9781337098120

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 - In what circumstances is the t statistic used...Ch. 9.1 - A sample of n = 4 scores has SS = 48. What is the...Ch. 9.1 - On average, what value is expected for the t...Ch. 9.2 - A sample of n = 9 scores is selected from a...Ch. 9.2 - A hypothesis test produces a t statistic of t =...Ch. 9.2 - A sample is selected from a population and a...Ch. 9.3 - A sample of n = 25 is selected from a population...Ch. 9.3 - A sample is selected from a population with a mean...Ch. 9.3 - A sample of n = 4 scores is selected from a...Ch. 9.3 - A researcher uses a sample of n = 25 individuals...

Ch. 9.4 - A sample is selected from a population with a mean...Ch. 9.4 - A researcher predicts that a treatment will...Ch. 9.4 - A researcher fails to reject the null hypothesis...Ch. 9 - Under what circumstances is a t statistic used...Ch. 9 - A sample of n = 16 scores has a mean of M = 56 and...Ch. 9 - Find the estimated standard error for the sample...Ch. 9 - The following sample of n = 4 score was obtained...Ch. 9 - The following sample was obtained from a...Ch. 9 - Explain why t distributions tend to be flatter and...Ch. 9 - Find the t values that form boundaries of the...Ch. 9 - Find the t value that forms the boundary of the...Ch. 9 - A random sample n = 12 individuals is selected...Ch. 9 - A random sample of n 4 individuals is selected...Ch. 9 - Infants, even newborns, prefer to look at...Ch. 9 - The spotlight effect refers to overestimating the...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 - Weinstein, McDermott, and Roediger (2010) report...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 - Standardized measures seem to indicate that the...Ch. 9 - Ackerman and Goldsmith (2011) found that students...Ch. 9 - Oishi and Shigehiro (2010) report that people who...Ch. 9 - McGee and Shevlin (2009) demonstrated that an...Ch. 9 - Belsky, Weinraub, Owen, and Kelly (2001) reported...Ch. 9 - An example of the vertical-horizontal illusion is...

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