Google is testing 3 different search algorithms, A, B, and C. Ideally, a good algorithm would show the user a link they want to click on right away. An algorithm where the user needs to try many searches before they find something they want is not as good. One way Google judges a search algorithm is to see how many searches a user does until the user clicks on a link. The fewer the searches, the better the algorithm. After collecting sample data from random users running the three algorithms, Google conducts an ANOVA (analysis of variance) test for the mean number of searches before clicking on a link. Suppose the p-value is 0.024.

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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Google is testing 3 different search algorithms, A, B, and C. Ideally, a good algorithm would show the user a link they want to click on right away. An algorithm where the user needs to try many searches before they find something they want is not as good.

One way Google judges a search algorithm is to see how many searches a user does until the user clicks on a link. The fewer the searches, the better the algorithm.

After collecting sample data from random users running the three algorithms, Google conducts an ANOVA (analysis of variance) test for the mean number of searches before clicking on a link.

Suppose the p-value is 0.024.

(a) Write the null and hypotheses. Define all parameters.

(b) Write the conclusion verbally and in context.

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