Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency surveyed 61 customers who regularly take their partners on a skiing vacation and 61 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. Average Standard deviation Skiers (S) Golfers (G) Difference (d = 5 - G) 61 2978 320 61 3214 652 61 -236 599 (a) What are the null and alternative hypotheses? Họ: uS - UG + HA: HS - UG (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (C) Using the statistical table, the p-value is 0.01 < p-value < 0.025 + (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 e golfers on their vacations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency surveyed 61
customers who regularly take their partners on a skiing vacation and 61 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.
Average
Standard deviation
Skiers (S)
Golfers (G)
Difference (d =S-G)
61
2978
320
61
3214
652
61
-236
599
(a) What are the null and alternative hypotheses?
Họ: uS - UG +
HẠ: uS - UG + <: 0
(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)
(C) Using the statistical table, the p-value is 0.01 < p-value < 0.025 +
(d) Based on the p-value, the travel agency should reject
the null hypothesis.
(e) This data provic
* 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 61 customers who regularly take their partners on a skiing vacation and 61 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. Average Standard deviation Skiers (S) Golfers (G) Difference (d =S-G) 61 2978 320 61 3214 652 61 -236 599 (a) What are the null and alternative hypotheses? Họ: uS - UG + HẠ: uS - UG + <: 0 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (C) Using the statistical table, the p-value is 0.01 < p-value < 0.025 + (d) Based on the p-value, the travel agency should reject the null hypothesis. (e) This data provic * sufficient evidence to conclude that the skiers spend, on average, less than * golfers on their vacations.
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