Exam 7: Testing One Sample Mean

If the calculated value of a z-statistic ______ the critical value, you would say ______.

When reporting the results of a statistical analysis, it would be more appropriate to report that the research hypothesis has been "supported" rather than "proven."

Using the following information, calculate the z-statistic for the z-test for one mean. = 27 μ = 15 = 1.50

A researcher conducted an analysis that supported the research hypothesis that SJSU students spend less on textbooks than the average California college student. As a result of this finding, you hypothesize that SJSU freshmen owe less on their credit cards than the average college freshman. To test this hypothesis, a group of college students are asked, "If you have your own credit card(s), how much do you currently owe on them?" The responses of some of the students in this class are summarized as: N = 25 = 834.53 s = 169.40 According to a recent study, the average college freshman owes $900 on their credit cards (Arano, 2006). Given the information above, what is the value for the t-statistic (t)?

For a z-statistic of 1.89, one would conclude (for a two-tailed test) the score is ______.

When reporting the results of a statistical analysis, it would be appropriate to report that the research hypothesis has been proven to be correct.

Use this information below to answer questions 116-120. As alcohol-related problems are a concern on college campuses, research has been conducted regarding students' perceptions of drinking behavior. For example, one study found students have misconceptions regarding what is considered excessive ("binge") drinking (White et al, 2004). Imagine you believe students' definition of binge drinking will differ from the government's definition. More specifically, you hypothesize students will overestimate the number of drinks needed to be consumed to be defined as binge drinking. To test this hypothesis, a group of college students are asked, "How many drinks in a row must a man drink in order to define it as "binge drinking?" The responses of some of the students in this class are summarized as: N = 16 = 7.94 s = 4.63 -Based on your analysis, which of the following represents your conclusion regarding the research hypothesis?

Looking at the degrees of freedom for a statistic like a t-statistic provides information regarding ______.

A researcher calculates a mean from a sample of 18 people. In analyzing her data, she states the following hypotheses: H₀: μ = 20 and H₁: μ ≠ 20. For α = .05, which is an appropriate critical value?

A researcher conducted an analysis that supported the research hypothesis that SJSU students spend less on textbooks than the average California college student. As a result of this finding, imagine you hypothesize that SJSU freshmen owe less on their credit cards than the average college freshman. To test this hypothesis, a group of college students are asked, "If you have your own credit card(s), how much do you currently owe on them?" The responses of some of the students in this class are summarized as: N = 25 = 834.53 S = 169.40 For α = .05 (two-tailed), which of the following is an appropriate critical value?

When drawing conclusions about the sample mean compared to the population mean, a researcher should indicate whether the sample mean is greater than or less than the population mean.

If the value of a t-statistic falls between the critical values for α = .05 and α = .01, you would describe the level of significance as ______.

If you were to ______ the null hypothesis, you would say the result is statistically ______.

Looking at ______ for a statistic like a t-statistic provides an indication of the directionality of the alternative hypothesis.

Which of the following is a correctly stated alternative hypothesis?

When do you determine whether the probability of a statistic such as the t-statistic is less than .01?

For a z-statistic of -1.34, one would conclude (for a two-tailed test) the score is ______.

This distribution illustrates a ______.

If ______ , you would describe the result of the analysis as being ______.

The central limit theorem states that when an infinite number of random samples are drawn from a population, the sample means are approximately normally distributed with a mean equal to the ______ and a standard deviation equal to the ______ of the mean.