As a marketing class term project, Jim is investigating whether senior students eat less frequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors to keep track of how many times they ate in a fast-food restaurant during the month of November. Assuming equal variances unknown, do a left-tailed test of Hypothesis whether he conclude that the mean is significantly smaller for college seniors than freshmen at the 5% level of significance. [Freshmen(F) -> 11 18 12 7 16 20 15 14 17 9 16 Senior(S) => 5 13 15 5 10 8 9 8 19 7 18 a) Carry out the hypothesis test above and draw the conclusion of the test, where S-mean = 10.64, F-mean = 14.09, S-variance = 24.25, F-variance = 15.69 b) What is the p-value for left-tailed test in a) -> used by z table (use up to 2nd decimal point value of tr, in a).

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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 As a marketing class term project, Jim is investigating whether senior students eat less frequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors to keep track of how many times they ate in a fast-food restaurant during the month of November. Assuming equal variances unknown, do a left-tailed test of Hypothesis whether he conclude that the mean is significantly smaller for college seniors than freshmen at the 5% level of significance.

[Freshmen(F) -> 11 18 12 7 16 20 15 14 17 9 16

Senior(S) => 5 13 15 5 10 8 9 8 19 7 18

a) Carry out the hypothesis test above and draw the conclusion of the test,

where S-mean = 10.64, F-mean = 14.09, S-variance = 24.25,

F-variance = 15.69

b) What is the p-value for left-tailed test in a) -> used by z table (use up to 2nd decimal point value of tr, in a).

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