Exam 9: The Single-Sample T Test

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When there is uncertainty about the parameters of a population of interest, a t distribution is used instead of a z distribution.Is the t distribution wider or thinner than the z distribution and why?

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What is the correct formula for calculating the standard deviation of a sample when one is NOT trying to estimate the population standard deviation?

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A sample of 20 with a standard deviation of 92.41 results in a standard error calculated as 20.66.

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The final step in conducting the single-sample t test is:

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What is the formula for the single-sample t statistic?

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The t test is used when the mean and standard deviation of the population are known.

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Griffin is looking through a statistics text for a z table, but he can find only a t table in the index.What tip would best help him find the information he needs?

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The single-sample t test compares the mean of a sample to a population for which the mean and standard deviation is known.

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An effect size of 0.53 was calculated on data after performing a hypothesis test with a single-sample t statistic in which the null hypothesis was rejected.What can be concluded about the results based on this information?

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As degrees of freedom decrease, the critical cutoff for the t test decreases.

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As degrees of freedom increase, the critical cutoff for the t test increases.

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With very few degrees of freedom, the test statistic:

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The first step in creating a dot plot is to determine the range of scores in the data set.

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Critical t values _____ as the degrees of freedom _____.

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Use the following to answer questions This figure represents the distribution of the percent of state residents living in a metropolitan area for all 50 U.S.states and Washington D.C. Use the following to answer questions  This figure represents the distribution of the percent of state residents living in a metropolitan area for all 50 U.S.states and Washington D.C.   -(Figure: Percent Metropolitan) The figure indicates that: -(Figure: Percent Metropolitan) The figure indicates that:

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What is one benefit of increasing the sample size when using t distributions?

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When computing the confidence interval for a t test, the cutoffs for the 95 percent interval are always the same.

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The _____ indicates the distance of a sample mean from a population mean in terms of the standard error.

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Based on the statistical results provided, which would lead us to fail to reject the null hypothesis?

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The correct formula for effect size using Cohen's d for a single-sample t test is:

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