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Exam 9: Introduction to the T Statistic

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Question 41

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If other factors are held constant,how does sample variance influence the likelihood of rejecting the null hypothesis and measures of effect size such as r² and Cohen's d?

A) Larger sample variance increases both the likelihood and measures of effect size.
B) Larger sample variance increases the likelihood but has little influence on measures of effect size.
C) Larger sample variance decreases the likelihood but has little influence on measures of effect size.
D) Larger sample variance decreases both the likelihood and measures of effect size.

E) All of the above
F) A) and B)

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Question 42

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As sample size increases,the critical region boundaries for a two-tailed test with  = .05 will move closer to zero.

A) True
B) False

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Question 43

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A sample is selected from a population with μ = 46,and a treatment is administered to the sample.After treatment,the sample mean is M = 48 with a sample variance of s² = 16.Based on this information,what is the value of Cohen's d?

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?

A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

If other factors are held constant,as the sample size increases,the estimated standard error decreases.

A sample has a mean of M = 39.5 and a standard deviation of s = 4.3,and produces a t statistic of t = 2.14.For a two-tailed hypothesis test with α = .05,what is the correct statistical decision for this sample?

When the population variance or standard deviation is not known,you must use a t statistic instead of a z-score for a hypothesis test.

A sample of n = 25 scores has a mean of M = 40 and a standard deviation of s = 10.What is the estimated standard error for the sample mean?

A researcher conducts a hypothesis test using a sample from an unknown population.If the t statistic has df = 30,how many individuals were in the sample?

Which combination of factors would definitely increase the width of a confidence interval?

A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r²,what value will be obtained for r²?

For a two-tailed hypothesis test with α = .05 and a sample of n = 25 scores,the boundaries for the critical region are t = ±2.060.

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that  = 80?

Which of the following is the correct way to report the results of a hypothesis test and a measure of effect size using a t statistic?

In order to estimate a population mean with a confidence interval,you first must estimate a range of values for t.

For a hypothesis test using a t statistic,the boundaries for the critical region will change if the sample size is changed.

A sample of n = 4 scores has SS = 60.What is the variance for this sample?

A sample is selected from a population with μ = 70,and a treatment is administered to the sample.After treatment,the sample mean is M = 74,and Cohen's d is d = 1.00.What is the value of the sample variance?