You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho:µ = 75.5 Ha:µ < 75.5 You believe the population is normally distributed and you know the standard deviation is o = 17.3. You obtain a sample mean of M = 66.7 for a sample of size n = 30. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic - What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value - The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O 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 75.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 75.5. O The sample data support the claim that the population mean is less than 75.5. O There is not sufficient sample evidence to support the claim that the population mean is less than 75.5.

MATLAB: An Introduction with Applications
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You wish to test the following claim (Ha) at a significance level of a = 0.002.
Ho:µ = 75.5
Ha:µ < 75.5
You believe the population is normally distributed and you know the standard deviation is o = 17.3. You
obtain a sample mean of M = 66.7 for a sample of size n = 30.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
greater than a
This test statistic leads to a decision to...
O 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
75.5.
O There is not sufficient evidence to warrant rejection of the claim that the population mean is less
than 75.5.
O The sample data support the claim that the population mean is less than 75.5.
O There is not sufficient sample evidence to support the claim that the population mean is less than
75.5.
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Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho:µ = 75.5 Ha:µ < 75.5 You believe the population is normally distributed and you know the standard deviation is o = 17.3. You obtain a sample mean of M = 66.7 for a sample of size n = 30. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O 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 75.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 75.5. O The sample data support the claim that the population mean is less than 75.5. O There is not sufficient sample evidence to support the claim that the population mean is less than 75.5. Question Help: M Message instructor D Post to forum Submit Question Jump to Answer
Expert Solution
Step 1

Given,sample size(n)=30sample mean(M)=66.7population standard deviation(σ)=17.3H0:μ=75.5Ha:μ<75.5α=0.002

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