You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho:µ = 66.6 Ha:µ + 66.6 You believe the population is normally distributed and you know the standard deviation is o = 9.4. You obtain a sample mean of M = 63.5 for a sample of size n = 56. 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... in the critical region O not in the critical region This test statistic leads to a decision to... reject the null 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 not equal to 66.6. OThere is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.6. The sample data support the claim that the population mean is not equal to 66.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 66.6.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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You wish to test the following claim (Ha) at a significance level of a = 0.005.
Ho:µ = 66.6
Ha:µ + 66.6
You believe the population is normally distributed and you know the standard deviation is o = 9.4. You
obtain a sample mean of M = 63.5 for a sample of size n = 56.
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...
in the critical region
O not in the critical region
This test statistic leads to a decision to...
reject the null
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 not equal
to 66.6.
OThere is not sufficient evidence to warrant rejection of the claim that the population mean is not
equal to 66.6.
The sample data support the claim that the population mean is not equal to 66.6.
There is not sufficient sample evidence to support the claim that the population mean is not equal to
66.6.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho:µ = 66.6 Ha:µ + 66.6 You believe the population is normally distributed and you know the standard deviation is o = 9.4. You obtain a sample mean of M = 63.5 for a sample of size n = 56. 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... in the critical region O not in the critical region This test statistic leads to a decision to... reject the null 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 not equal to 66.6. OThere is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.6. The sample data support the claim that the population mean is not equal to 66.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 66.6.
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