Exam 8: Introduction to Inferential Statistics

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To estimate the standard deviation of the sampling distribution when using a single-sample t test,we use the

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Rich performed a two-tailed test for an experiment in which n=20.He could not find his t critical values table but he remembered the tcv at df = 15.He decided to compare his tobt to this tcv.Is he more likely to make a Type I or a Type II error in this situation?

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A researcher in interested in whether students who are musicians have higher intelligence test scores than students in the general population.The researcher predicts that playing a musical instrument is associated with higher intelligence test scores.The researcher selects a sample of 75 musicians from local high schools and gives them an intelligence test.She compares their average intelligence to that of students in the general population and finds that zobt = +1.92.This is a _____ test and the researcher should conclude _____.

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Sometimes researchers use estimation of population means,rather than hypothesis tests.These estimations are based on

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The standard error of the mean will always be ____ the standard deviation for a distribution of individual scores.

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Explain why Explain why   decreases as the size of the samples in the sampling distribution increase.Your answer should include an explanation based on the formula for   and an explanation of why this formula makes sense (in other words,why would increasing the size of each sample in the sampling distribution cause   to decrease? decreases as the size of the samples in the sampling distribution increase.Your answer should include an explanation based on the formula for Explain why   decreases as the size of the samples in the sampling distribution increase.Your answer should include an explanation based on the formula for   and an explanation of why this formula makes sense (in other words,why would increasing the size of each sample in the sampling distribution cause   to decrease? and an explanation of why this formula makes sense (in other words,why would increasing the size of each sample in the sampling distribution cause Explain why   decreases as the size of the samples in the sampling distribution increase.Your answer should include an explanation based on the formula for   and an explanation of why this formula makes sense (in other words,why would increasing the size of each sample in the sampling distribution cause   to decrease? to decrease?

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What are the assumptions of the t test?

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What is the standard error of the mean for a distribution of scores where σ\sigma = 15 and n = 100?

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A _____-tailed test and a _____ sample size will both increase the power of the test.

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The number of scores in a sample that are free to vary represents the

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What is the standard error of the mean for a distribution of scores where σ\sigma = 24 and n = 144?

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A researcher in interested in whether students who are musicians have higher intelligence test scores than students in the general population.The researcher predicts that playing a musical instrument is associated with higher intelligence test scores.The researcher selects a sample of 75 musicians from local high schools and gives them an intelligence test.The mean for the sample is 105.The mean for the general population (µ)is 100 with a standard deviation ( σ\sigma )of 15.What is zobt for this sample?

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Zcv for a one-tailed test is _____ whereas Zcv for a two-tailed test is _____.

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When comparing a sample to a population,if you know μ\mu and σ\sigma and have a sample size larger than 30,you should conduct a _____ test.

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A researcher in interested in whether students who play sports have a higher or lower body mass index (BMI)than students in the general population.The researcher is unsure whether playing sports will decrease body mass (due to more calories burned)or increase body mass (due to more muscle mass).This is a _____ tailed test and the zcv is _____.

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For a single-sample t test with 10 participants,the degrees of freedom are

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What are the assumptions of the χ\chi 2-test?

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How does sample size affect the tcv?

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If a researcher reported for a two-tailed single-sample t-test that t(13)= 1.46,then

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_____ statistics are used in the process of hypothesis testing.

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