You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 64.5 Ha:µ < 64.5 You believe the population is normally distributed and you know the standard deviation is o = 14.9 . You obtain a sample mean of M = 62 for a sample of size n = 28. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is. O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null O accept the null O fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.5. O The sample data support the claim that the population mean is less than 64.5. O There is not sufficient sample evidence to support the claim that the population mean is less than 64.5.

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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You wish to test the following claim (Ha) at a significance level of a = 0.005.
H.:µ = 64.5
Ha:µ < 64.5
You believe the population is normally distributed and you know the standard deviation is o = 14.9
. You obtain a sample mean of M = 62 for a sample of size n = 28.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is.
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that.
O There is sufficient evidence to warrant rejection of the claim that the population mean is less
than 64.5.
O There is not sufficient evidence to warrant rejection of the claim that the population mean is
less than 64.5.
O The sample data support the claim that the population mean is less than 64.5.
O There is not sufficient sample evidence to support the claim that the population mean is less
than 64.5.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 64.5 Ha:µ < 64.5 You believe the population is normally distributed and you know the standard deviation is o = 14.9 . You obtain a sample mean of M = 62 for a sample of size n = 28. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is. O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null O accept the null O fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.5. O The sample data support the claim that the population mean is less than 64.5. O There is not sufficient sample evidence to support the claim that the population mean is less than 64.5.
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