An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A – site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65. Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of α = 0.05. Find the t-table here. Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average. Because the P-value is greater than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average. Because the P-value is less than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average. Because the P-value is greater than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.

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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An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A – site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65.

Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of α = 0.05.

Find the t-table here.

Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
Because the P-value is greater than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
Because the P-value is less than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.
Because the P-value is greater than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.
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