A graphing calculator is recommended. Are the means for the final exams the same for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types. Online Hybrid Face-to-Face 71 82 79 85 72 79 76 83 84 79 81 82 80 85 78 83 Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. Part (a) State the null hypothesis. O Ho: At least two of the group means online hybrid face to face are not equal. O Ho: Honline hybrid = "face to face Part (b) State the alternative hypothesis. Ha Monline hybrid="face to face ○ H₂: At least two of the group means μonline: Mhybrid face to face are not equal. Part (c) Enter an exact number as an integer, fraction, or decimal. df(num) = Part (d) Enter an exact number as an integer, fraction, or decimal. df(denom) = Part (e) State the distribution to use for the test. ○ F13, 15 ○ F2, 13 OF13, 2 O F15, 13 OF2, 15 Part (f) What is the test statistic? (Round your answer to two decimal places.) Part (g) What is the p-value? (Round your answer to four decimal places.) Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. \p-value Part (i) 1/2(p-value) 1/2(p-value) 1/2(p-value) 1/2(p-value) F F p-value Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write appropriate conclusions. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: ○ Since α > p-value, we do not reject the null hypothesis. Since α > p-value, we reject the null hypothesis. Since α < p-value, we do not reject the null hypothesis. ○ Since x < p-value, we reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to conclude that the mean scores of the different class delivery types are not different. There is not sufficient evidence to conclude that the mean scores of the different class delivery types are not different. F

A graphing calculator is recommended. Are the means for the final exams the same for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types. Online Hybrid Face-to-Face 71 82 79 85 72 79 76 83 84 79 81 82 80 85 78 83 Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. Part (a) State the null hypothesis. O Ho: At least two of the group means online hybrid face to face are not equal. O Ho: Honline hybrid = "face to face Part (b) State the alternative hypothesis. Ha Monline hybrid="face to face ○ H₂: At least two of the group means μonline: Mhybrid face to face are not equal. Part (c) Enter an exact number as an integer, fraction, or decimal. df(num) = Part (d) Enter an exact number as an integer, fraction, or decimal. df(denom) = Part (e) State the distribution to use for the test. ○ F13, 15 ○ F2, 13 OF13, 2 O F15, 13 OF2, 15 Part (f) What is the test statistic? (Round your answer to two decimal places.) Part (g) What is the p-value? (Round your answer to four decimal places.) Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. \p-value Part (i) 1/2(p-value) 1/2(p-value) 1/2(p-value) 1/2(p-value) F F p-value Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write appropriate conclusions. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: ○ Since α > p-value, we do not reject the null hypothesis. Since α > p-value, we reject the null hypothesis. Since α < p-value, we do not reject the null hypothesis. ○ Since x < p-value, we reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to conclude that the mean scores of the different class delivery types are not different. There is not sufficient evidence to conclude that the mean scores of the different class delivery types are not different. F

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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