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Exam 8: Hypothesis Testing: Inferences About a Single Mean

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Question 81

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The formula for determining the standard error of the population mean is _____.

A) ó/
B) ó/N
C) ó/N-1
D) s/N-1

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Question 82

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Which of the following accurately defines a Type I error?

A) rejecting a H₀ when it is true
B) rejecting a H₀ when it is false
C) failing to reject a H₀ when it is true
D) failing to reject a H₀ when it is false

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Question 83

Multiple Choice

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A 95% confidence interval for the mean:

As a rough guide,investigators generally attempt to achieve statistical power in the range of .05 to .95,depending on the nature of the proposition being investigated.

Failure to reject the null hypothesis when it is false is called a Type I error.

What is the power of a statistical test? What factors influence the power of a statistical test?

The larger the sample size,the more powerful the statistical test will be,everything else being equal.

For an alpha level of .05,an unexpected result in a one sample z test includes any sample mean occurring more than 1.96 standard errors below or 1.96 standard errors above the value of ì represented in the null hypothesis.

A directional alternative hypothesis is one that specifies that a population mean is different from a given value and also indicates the direction of that difference.

The more conservative the alpha level,the less powerful the statistical test will be,everything else being equal.

Suppose you know that the mean score (m)on a measure of the personality trait "Openness to Experience" is 35.66 in a population of artists,with a standard deviation (s)of 13.32.Next,assume you went to Greenwich Village and gave this personality measure to a group of 10 artists.The mean in this sample was 40.33.You are interested in testing whether the 10 Greenwich Village artists were sampled from the same population described above.How would you state the null hypothesis for this test?

The probability that an investigator will correctly reject the null hypothesis when it is false is called the power of the statistical test.

When we use inferential statistics to address a research question,we _____.

Which is more powerful--a directional or a nondirectional test?

The t-distribution should be used when _____,while the z-distribution should be used when _____.

A group of 200 students takes the Kaplan course in hopes that it will improve their SAT scores above the national mean of 500 on the math section.The population standard deviation of the SAT is known to be 100.Use an alpha level of .05 when answering the following questions.What is the alternative hypothesis?

Based on the Method of Presentation section of Chapter 8,the null and alternative hypotheses should be formally written out when reporting the results of a statistical test in a psychological journal.

Type II errors have a probability of occurring equal to _____.

Which of the following "t statements" is the proper way to present data in an manuscript using APA format?

The critical t value needed to reject the null will always be _____ than a Z value for the same set of scores.