The accompanying table shows two samples that were collected as matched pairs. Complete parts (a) through (d) below. Click the icon to view the data table. alternative hypotheses. Choose the correct answer below. A. H_(0):mu _(d)<2.0 H_(1):mu _(d)>=2.0 B. H_(0):mu _(d)<=2.0 Data Table c. H_(0):mu _(d)<=2.0 H_(1):mu _(d)>2.0 E. H_(0):mu _(d)=2.0 H_(1):mu _(d)!=2.0 H_(1):mu _(d)!=2.0 D. H_(0):mu _(d)!=2.0 H_(1):mu _(d)=2.0 F. H_(0):mu _(d)<=2.0 H_(1):mu _(d)<2.0 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using alpha =0.05. The test statistic is 2.55 . (Round to two decimal places as needed.) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Interpret the results of the hypothesis test. c. Identify the p-value and interpret the result. p-value = (Round to three decimal places as needed. Since the p-value Interpret the result. Since the test statistic HPg20 OEH2.0 HPg20 C.Hg20 HHg2.0 OAHPg20 T c. Identify the -value and interpret the result. Interpret the results of the hypothesis test. The critical values isare] Click the icon to view the data table. The d. What assumptions need to be made in order to perform this procedure? p-value= (Round to three decimal places as needed. (Use a comma to separate answers as needed. Round to two decimal places as needed.) The test statistic is 2.55 (Round to two decimal places as needed. alternative hypotheses. Choose the correct answer below. accompanying table shows two samples that ] in the null hypothesis. There is pain D. The plre endnnebuonteatchedairrncesbentheesurntsforthe popuansapprxiayunfithenuerftchdpis 30r grear O C. The samples are independent and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater B. The samples are dependent and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30 O A. The samples are independent and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30 ugh d below evidence that the mean of Sample 1 is 2.0 units higher than the mean of Sample 2. H2.0 OF. HP$2.0 OD. HoPg2.0 OB. H2.0 Pair Data Table Print Done Sample 2 Sample 1
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a. Calculate the appropriate test statistic and interpret the result. (Round to two decimal places as needed.) The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic is less than the critical value, is greater than the critical value, falls within the critical values, does not fall within the critical values, reject do not reject the null hypothesis. b. Identify the p-value from part a and interpret the result. The p-value is (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. A. Since the p-value is not less than the significance level, do not reject the null hypothesis. B. Since the p-value is less than the significance level, do not reject the null hypothesis. C. Since the p-value is not less than the significance level, reject the null hypothesis. D. Since the p-value is less than the significance level, reject the null hypothesis. Consider the following hypothesis statement using α = 0.05 and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b. H₀: μ₁ = μ₂ Hₐ: μ₁ ≠ μ₂ a. Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.) b. Identify the p-value from part a and interpret the result. The p-value is (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. A. Since the p-value is not less than the significance level, do not reject the null hypothesis. B. Since the p-value is less than the significance level, do not reject the null hypothesis. C. Since the p-value is not less than the significance level, reject the null hypothesis. D. Since the p-value is less than the significance level, reject the null hypothesis.
Ana Carolina D.
A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below. a. Perform a hypothesis test using α=0.01 to determine if the average test score is higher for the students after the review course when compared with before the course. Let μd be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null and alternative hypotheses. Choose the correct answer below. A. H0: μd>0 H1: μd≤0 B. H0: μd<0 H1: μd≥0 C. H0: μd≥0 H1: μd<0 D. H0: μd≤0 H1: μd>0 E. H0: μd=0 H1: μd≠0 F. H0: μd≠0 H1: μd=0 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using α=0.01. The test statistic is nothing. (Round to two decimal places as needed.) The critical value(s) is(are) nothing. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Interpret the results of the hypothesis test. Since the test statistic does not fall between falls between is greater than is less than the critical value(s), reject do not reject the null hypothesis. There is sufficient insufficient evidence that the mean score is higher after the review course. c. Identify the p-value and interpret the result. p-value=nothing (Round to three decimal places as needed.) Interpret the result. Since the p-value is greater than is less than the significance level, reject do not reject the null hypothesis. There is sufficient insufficient evidence that the mean score is higher after the review course. d. What assumptions need to be made in order to perform this procedure? A. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater. B. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. C. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30. D. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater.
Sheryl E.
An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table to the right. Complete parts a through e. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below: Ho: μ1 = μ2 = μ3 Ha: At least two treatments differ What test statistic should be used in conducting the test of part b? (Round to two decimal places as needed.) Describe the Type I and Type II errors associated with the hypothesis test of part b. Conduct the hypothesis test of part b using α = 0.01. Find the rejection region. (Round to two decimal places as needed.) Calculate the p-value. (Round to four decimal places as needed.) Determine a conclusion. Choose the correct answer below: Fail to reject Ho. There is insufficient evidence to conclude that a difference exists among the treatment methods. Fail to reject Ho. There is sufficient evidence to conclude that a difference exists among the treatment methods. Reject Ho. There is insufficient evidence to conclude that a difference exists among the treatment methods. Reject Ho. There is sufficient evidence to conclude that a difference exists among the treatment methods.
Madhur L.
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