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 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 5 7. 6 3 3 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 H: Not all the population means are equal. Ho: At least two of the population means are equal. H: At least two of the population means are different. H * PLB" 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.) D-value - 0.042

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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
Heavy
Nonbrowser
Browser
Browser
4
5
6.
7
6
3
4
3
4
5
4
6
7
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.
H: HNB = HLB = "HB
O Ho: HNB = HLB = "HB
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
H3: HNB = HLB = HHB
O Ho: HNB = HLB - "HB
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 a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Heavy Nonbrowser Browser Browser 4 5 6. 7 6 3 4 3 4 5 4 6 7 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. H: HNB = HLB = "HB O Ho: HNB = HLB = "HB 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 H3: HNB = HLB = HHB O Ho: HNB = HLB - "HB 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
(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.
Fne - e| -
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:(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. Fne - e| - 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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