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In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Browser Heavy Browser Nonbrowser 4 5 6 4 7. 4 6 5 4 (a) Use a - 0.05 to test for differences among comfort levels for the three types of browsers. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H PNB " PLB PHB O Hoi Hue" PLB " PHB H: PNB * PLs * PHB O Hạ: At least two of the population means are equal. H: At least two of the population means are different. Ho: PNB PLB * PHB H PNB " PLB PHB O Hoi HNB " PLB" PHB H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 3.68 Find the p-value. (Round your answer to three decimal places.)

In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Browser Heavy Browser Nonbrowser 4 5 6 4 7. 4 6 5 4 (a) Use a - 0.05 to test for differences among comfort levels for the three types of browsers. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H PNB " PLB PHB O Hoi Hue" PLB " PHB H: PNB * PLs * PHB O Hạ: At least two of the population means are equal. H: At least two of the population means are different. Ho: PNB PLB * PHB H PNB " PLB PHB O Hoi HNB " PLB" PHB H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 3.68 Find the p-value. (Round your answer to three decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You may need to use the appropriate technology to answer this question. In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Browser Heavy Browser Nonbrowser 6 5 7 6 5 5 3 4 7 3 4 4 5 4 7 (a) Use a = 0.05 to test for differences among comfort levels for the three types of browsers. State the null and alternative hypotheses. O Hn: Not all the population means are equal. Ha: HNB = "LB = HHB O Ho: HNB = HLB - HHB H: HNB * HLB * HHB O H,: At least two of the population means are equal. H.: At least two of the population means are different. O Ho: HNB * HLB * HHB H: HNB = HLB = HHB O Ho: HNB = HLB - HHB H.: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 3.68 Find the p-value. (Round your answer to three decimal places.) p-value = 0.042
Transcribed Image Text:You may need to use the appropriate technology to answer this question. In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Browser Heavy Browser Nonbrowser 6 5 7 6 5 5 3 4 7 3 4 4 5 4 7 (a) Use a = 0.05 to test for differences among comfort levels for the three types of browsers. State the null and alternative hypotheses. O Hn: Not all the population means are equal. Ha: HNB = "LB = HHB O Ho: HNB = HLB - HHB H: HNB * HLB * HHB O H,: At least two of the population means are equal. H.: At least two of the population means are different. O Ho: HNB * HLB * HHB H: HNB = HLB = HHB O Ho: HNB = HLB - HHB H.: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 3.68 Find the p-value. (Round your answer to three decimal places.) p-value = 0.042
State your O Do not reject H.. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Reject H.. There is not sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Reject H.. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Do not reject Hn. There is not sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. (b) Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use a = 0.05. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the absolute difference between sample means for the comfort levels of nonbrowsers and light browsers. What is your conclusion? O There is a significant difference between the population means for the comfort levels of nonbrowsers and light browsers. O There is not a significant difference between the population means for the comfort levels of nonbrowsers and light browsers.
Transcribed Image Text:State your O Do not reject H.. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Reject H.. There is not sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Reject H.. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. O Do not reject Hn. There is not sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups. (b) Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use a = 0.05. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the absolute difference between sample means for the comfort levels of nonbrowsers and light browsers. What is your conclusion? O There is a significant difference between the population means for the comfort levels of nonbrowsers and light browsers. O There is not a significant difference between the population means for the comfort levels of nonbrowsers and light browsers.
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