Exam 21: Univariate Statistical Analysis

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When sample size (n)is larger than ____,the t-distribution and Z-distribution are almost identical.

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A Type I error occurs when you fail to reject the null hypothesis when the alternative hypothesis is true.

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Explain the appropriate statistical analysis for the following hypothesis: H₁: The average household income in zip code 71227 is greater than $50,000.

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This is a univariate hypothesis dealing with one variable: income.Univariate hypotheses are typified by tests comparing some observed sample mean against a benchmark value.The test addresses the question,is the sample mean truly different from the benchmark? The level of scale measurement is ratio scaled,and if the sample size is large,parametric statistical procedures are appropriate.In this case,a univariate t-test is appropriate for testing this hypothesis because in involves an observed mean income against the value of $50,000.

Compare and contrast Type I errors and Type II errors and explain which one is of more concern to researchers.

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Alan is testing a hypothesis and is examining the data to determine whether or not the observed relationship between background music in a store and sales are significantly related.Which of the following will he use to determine the significance level of the results?

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____________________ is a measure of how much ability exists to find a significant effect using a specific statistical tool and is equal to 1 -b.

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You have not made a mistake if the null hypothesis is false,and you decide to reject the null hypothesis.

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In hypothesis testing,the values of t that lie on the boundary of the region of rejection are called the critical values.

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A hypothesis test of a proportion is conceptually similar to hypothesis testing when the mean is the characteristic of interest.

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Another name for an observed or computed significance level is ____________________.

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Suppose that a group of 100 consumers are asked to rate how much they liked the taste of a new soft drink on a 5-point scale (where 5 = good taste and 1 = poor taste)and the mean rating was 4.2 with a standard deviation of 1.48.Suppose,further,that the standard error of the mean for this study was 0.15.If you wanted to find the 95 percent confidence interval (two-tailed test),and if the Z-value at the 0.05 level of significance is 1.96,the confidence interval lies between:

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Compare and contrast parametric statistics and nonparametric statistics.

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Laura has a frequency table with the number of stores in three different categories: stand-alone,shopping center,and mall locations.Which statistical test is appropriate for testing hypothesizes she might have regarding these frequencies?

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A significance level is a critical probability associated with a statistical hypothesis test that indicates how likely it is that an inference supporting a difference between an observed value and some statistical expectation is true.

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In a brand awareness study of 80 consumers,52 of them were able to identify "Fusion" as a type of Ford automobile.The chi-square value for a test of this brand awareness was approximately:

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The error caused by failing to reject the null hypothesis when,in fact,the alternative hypothesis is true is called a(n)____________________ error.

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A univariate p-test is appropriate for testing hypotheses involving some observed mean against some specified value.

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For a one-group t-test,the degrees of freedom are:

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The t-distribution has a mean of ____ and a standard deviation of ____.

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The logic behind the chi-square test is to compare the observed frequencies with the expected frequencies in the data set.

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