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(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01

(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01

MATLAB: An Introduction with Applications
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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Question

Q9

Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency surveyed 41 customers who regularly take their partners on a skiing vacation and 41 customers who regularly take their partners on a golf vacation. The amounts spent on vacations last year are shown in the following table. Perform an appropriate hypothesis test and use a significance level of 0.02. Skiers (S) Golfers (G) Difference (d = S - G) n 41 41 41 Average < 2730 3358 -628 (a) What are the null and alternative hypotheses? Ho: P HA: P Check Standard deviation 379 783 627 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01 + (d) Based on the p-value, the travel agency should reject the null hypothesis. (e) This data provides sufficient evidence to conclude that the skiers spend, on average, less than ◆ golfers on their vacations.
Transcribed Image Text:Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency surveyed 41 customers who regularly take their partners on a skiing vacation and 41 customers who regularly take their partners on a golf vacation. The amounts spent on vacations last year are shown in the following table. Perform an appropriate hypothesis test and use a significance level of 0.02. Skiers (S) Golfers (G) Difference (d = S - G) n 41 41 41 Average < 2730 3358 -628 (a) What are the null and alternative hypotheses? Ho: P HA: P Check Standard deviation 379 783 627 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01 + (d) Based on the p-value, the travel agency should reject the null hypothesis. (e) This data provides sufficient evidence to conclude that the skiers spend, on average, less than ◆ golfers on their vacations.
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