You wish to test the following claim (Ha) at a significance level of α = 0.01. Ho : μ = 78.3 Ha : μ < 78.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 73.9 76.3 67.4 69.9 72.1 68.6 56.6 53 67.1 58.9 78.5 65.7 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 =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to test the following claim (Ha) at a significance level of a = 0.01.
Ho: μ = 78.3
Ha : μ < 78.3
You believe the population is normally distributed, but you do not know the standard deviation. You obtain
the following sample of data:
data
73.9
76.3
67.4
69.9
72.1
68.6
56.6
53
67.1
58.9
78.5
65.7
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 =
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: μ = 78.3 Ha : μ < 78.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 73.9 76.3 67.4 69.9 72.1 68.6 56.6 53 67.1 58.9 78.5 65.7 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...
O reject the null
O fail to reject the null
As such, the final conclusion is that...
O The sample data support the claim that the population mean is less than 78.3.
O There is not sufficient sample evidence to support the claim that the population mean is less than
78.3.
Transcribed Image Text:The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the population mean is less than 78.3. O There is not sufficient sample evidence to support the claim that the population mean is less than 78.3.
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