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Keith wonders if pet groomers in his area charge, on average, less than $50, the national average. Keith takes a random sample of 30 pet groomers from his area and gets x = $46. He then conducts a t-test for Ho: μ = 50 versus H: <50. The significance test yields a P-value of 0.103. Which interpretation of this value is correct? O The probability that a pet groomer charges under $50 is 0.103. O The probability that this test resulted in a Type II error is 0.103. If this test were repeated many times, we would make a Type I error 10.3% of the time. O Assuming that the mean cost of pet grooming is really $50, there is a 0.103 probability of getting a sample mean of $46 or less just by chance. O Assuming that the mean cost of pet grooming is less than $50, there is a 0.103 probability of getting a sample mean as far from $50 as in our sample.

Keith wonders if pet groomers in his area charge, on average, less than $50, the national average. Keith takes a random sample of 30 pet groomers from his area and gets x = $46. He then conducts a t-test for Ho: μ = 50 versus H: <50. The significance test yields a P-value of 0.103. Which interpretation of this value is correct? O The probability that a pet groomer charges under $50 is 0.103. O The probability that this test resulted in a Type II error is 0.103. If this test were repeated many times, we would make a Type I error 10.3% of the time. O Assuming that the mean cost of pet grooming is really $50, there is a 0.103 probability of getting a sample mean of $46 or less just by chance. O Assuming that the mean cost of pet grooming is less than $50, there is a 0.103 probability of getting a sample mean as far from $50 as in our sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Keith wonders if pet groomers in his area charge, on average, less than $50, the national average. Keith takes a random sample of 30 pet groomers from his area and gets x = $46. He then conducts a t-test for H₁: µ = 50 versus H: <50. The significance test yields a P-value of 0.103. Which interpretation of this value is correct? The probability that a pet groomer charges under $50 is 0.103. The probability that this test resulted in a Type II error is 0.103. O If this test were repeated many times, we would make a Type I error 10.3% of the time. Assuming that the mean cost of pet grooming is really $50, there is a 0.103 probability of getting a sample mean of $46 or less just by chance. O Assuming that the mean cost of pet grooming is less than $50, there is a 0.103 probability of getting a sample mean as far from $50 as in our sample.
Transcribed Image Text:Keith wonders if pet groomers in his area charge, on average, less than $50, the national average. Keith takes a random sample of 30 pet groomers from his area and gets x = $46. He then conducts a t-test for H₁: µ = 50 versus H: <50. The significance test yields a P-value of 0.103. Which interpretation of this value is correct? The probability that a pet groomer charges under $50 is 0.103. The probability that this test resulted in a Type II error is 0.103. O If this test were repeated many times, we would make a Type I error 10.3% of the time. Assuming that the mean cost of pet grooming is really $50, there is a 0.103 probability of getting a sample mean of $46 or less just by chance. O Assuming that the mean cost of pet grooming is less than $50, there is a 0.103 probability of getting a sample mean as far from $50 as in our sample.
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