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. Nonbrowser Light Browser Heavy Browser 4 5 4 5 5 7 6 5 5 3 4 7 3 7 4 4 4 6 5 6 5 3 5 7
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. Nonbrowser Light Browser Heavy Browser 4 5 4 5 5 7 6 5 5 3 4 7 3 7 4 4 4 6 5 6 5 3 5 7
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
| Nonbrowser | Light Browser |
Heavy Browser |
|---|---|---|
| 4 | 5 | 4 |
| 5 | 5 | 7 |
| 6 | 5 | 5 |
| 3 | 4 | 7 |
| 3 | 7 | 4 |
| 4 | 4 | 6 |
| 5 | 6 | 5 |
| 3 | 5 | 7 |
(a)
Use ? = 0.05 to test for differences among comfort levels for the three types of browsers.
State the null and alternative hypotheses.
-H0: Not all the population means are equal.
Ha: ?NB = ?LB = ?HB
Ha: ?NB = ?LB = ?HB
-H0: ?NB = ?LB = ?HB
Ha: ?NB ≠ ?LB ≠ ?HB
Ha: ?NB ≠ ?LB ≠ ?HB
-H0: ?NB = ?LB = ?HB
Ha: Not all the population means are equal.
Ha: Not all the population means are equal.
-H0: ?NB ≠ ?LB ≠ ?HB
Ha: ?NB = ?LB = ?HBH0: At least two of the population means are equal.
Ha: At least two of the population means are different.
Ha: ?NB = ?LB = ?HBH0: At least two of the population means are equal.
Ha: At least two of the population means are different.
Find the value of the test statistic. (Round your answer to two decimal places.)
Statistic=??
Find the p-value. (Round your answer to three decimal places.)
p-value = ??
State your conclusion.
-Reject H0. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups.
-Do not reject H0. There is not sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups.
- Do not reject H0. There is sufficient evidence to conclude that the mean comfort scores are not all the same for the three groups.
-Reject H0. 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 ? = 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.
xNB − xLB = ??
What is your conclusion?
-There is a significant difference between the population means for the comfort levels of nonbrowsers and light browsers.
-There is not a significant difference between the population means for the comfort levels of nonbrowsers and light browsers.
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