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.

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Author:Amos Gilat
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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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