Before you solve Problems 5–14, first classify the problem as one of the following:
Chi-square test of independence or homogeneity
Chi-square goodness of fit
Chi-square for testing or estimating σ2 or σ
F test for two variances
One-way ANOVA
Two-way ANOVA
Then, in each of the problems when a test is to be performed, do the following:
- (i) Give the value of the level of significance. State the null and alternate hypotheses.
- (ii) Find the sample test statistic.
- (iii) Find or estimate the P-value of the sample test statistic.
- (iv) Conclude the test.
- (v) Interpret the conclusion in the context of the application.
- (vi) In the case of one-way ANOVA, make a summary table.
Education: Exams Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test. One group had exactly 1 hour in which to finish the test, and the other group could stay as long as desired. The results are shown in the following table. Test at the 0.01 level of significance that time to complete a test and test results are independent.
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Understandable Statistics: Concepts And Methods
- The next test is a t-test for unequal variance. Here is the problem: The human resources department at Sue, Grabitt, and Runne also tracks the cost of one-bedroom apartments in two popular neighborhoods, NoBo and SoBo. The general perception of long-time residents is that rents are probably lower in SoBo. They hope to determine whether the average rent for a one-bedroom apartment is lower in SoBo than in NoBo. The results of their survey are shown in Tables 18 and 19: Step 2. Select the Level of Significance, α A 5 percent significance has been selected. Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1) H0: H1: Step 4. Compose the Decision Rule Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power Use G*Power to calculate statistical powerarrow_forwardThe Tukey-Kramer procedure is used for which of the following purposes?A. Test for differences in pairwise means.B. Test for normality of residuals.C. Test for independence of errors.D. Test for homogeneity of variances.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill