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You wish to test the following claim (Ha) at a significance level of a = 0.001. H.: µ = 51.2 Ha:µ < 51.2 You believe the population is normally distributed and you know the standard deviation is o = 6.9. You obtain a sample mean of M = 48.1 for a sample of size n = 51. %3D 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...

You wish to test the following claim (Ha) at a significance level of a = 0.001. H.: µ = 51.2 Ha:µ < 51.2 You believe the population is normally distributed and you know the standard deviation is o = 6.9. You obtain a sample mean of M = 48.1 for a sample of size n = 51. %3D 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...

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You wish to test the following claim (Ha) at a significance level of a = 0.001. H:µ = 51.2 Ha:µ < 51.2 1 You believe the population is normally distributed and you know the standard deviation is o = 6.9. You obtain a sample mean of M = 48.1 for a sample of size n = 51. 2 3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D 10 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D 1 1 The p-value is... O less than (or equal to) a O greater than a MO This test statistic leads to a decision to... 21 O reject the null 20 21 O accept the null 2 2 O fail to reject the null 30 3 3 3 3 As such, the final conclusion is that... 3. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.2. 122 222
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.001. H:µ = 51.2 Ha:µ < 51.2 1 You believe the population is normally distributed and you know the standard deviation is o = 6.9. You obtain a sample mean of M = 48.1 for a sample of size n = 51. 2 3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D 10 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D 1 1 The p-value is... O less than (or equal to) a O greater than a MO This test statistic leads to a decision to... 21 O reject the null 20 21 O accept the null 2 2 O fail to reject the null 30 3 3 3 3 As such, the final conclusion is that... 3. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.2. 122 222
O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the clail: that the population mean is less than 51.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.2. 2 O The sample data support the claim that the population mean is less than 51.2. 3 O There is not sufficient sample evidence to support the claim that the population mean is less 3 than 51.2. 3 233 3.
Transcribed Image Text:O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the clail: that the population mean is less than 51.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.2. 2 O The sample data support the claim that the population mean is less than 51.2. 3 O There is not sufficient sample evidence to support the claim that the population mean is less 3 than 51.2. 3 233 3.
Expert Solution
Step 1

The information given is,

sample mean=X=48.1

sample size=n=51

population standard deviation=σ=6.9

to test,

H0:μ=51.2 vs H1:μ<51.2

So value of test statistic is,

nX-μσ=5148.1-51.26.9=-3.2

The p-value is found via the z-table.

From the table, the value obtained is 0.00069 ≃ 0.0007

α is given to be 0.001.

So, p-value is less than α.

 

 

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