For a random sample of 25 observations from a nomal population, the mean and variance are obtained as 71.5, and 156.25, respectively. You wish to test the null hypothesis that the population mean is less or equal to 65. Which one of the following statements is true? A The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed. B. The sample evidence proves beyond a doubt that the population mean greater than 65. There is sufficient evidence to show that the population mean is greater than 65 using a level of significance of at least 10% There is sufficient evidence to conclude that the population mean greater than 65 with no more than a 0.1% probability of incorectly not rejecting the true null hypothesis. E) None of the suggested answers are correct
For a random sample of 25 observations from a nomal population, the mean and variance are obtained as 71.5, and 156.25, respectively. You wish to test the null hypothesis that the population mean is less or equal to 65. Which one of the following statements is true? A The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed. B. The sample evidence proves beyond a doubt that the population mean greater than 65. There is sufficient evidence to show that the population mean is greater than 65 using a level of significance of at least 10% There is sufficient evidence to conclude that the population mean greater than 65 with no more than a 0.1% probability of incorectly not rejecting the true null hypothesis. E) None of the suggested answers are correct
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For a random sample of 25 observations from a normal population, the mean and variance are obtained as 71.5. and 156.25, respectively. You wish to test the null hypothesis that the population mean is
less or equal to 65. Which one of the following statements is true?
A
The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed.
B
The sample evidence proves beyond a doubt that the population mean is greater than 65.
There is sufficient evidence to show that the population mean is greater than 65 using a level of significance of at least 10%
D
There is sufficient evidence to conclude that the population mean is greater than 65 with no more than a 0.1% probability of incorrectly not rejecting the true null hypothesis.
E) None of the suggested answers are correct
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Transcribed Image Text:5
For a random sample of 25 observations from a normal population, the mean and variance are obtained as 71.5. and 156.25, respectively. You wish to test the null hypothesis that the population mean is
less or equal to 65. Which one of the following statements is true?
A
The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed.
B
The sample evidence proves beyond a doubt that the population mean is greater than 65.
There is sufficient evidence to show that the population mean is greater than 65 using a level of significance of at least 10%
D
There is sufficient evidence to conclude that the population mean is greater than 65 with no more than a 0.1% probability of incorrectly not rejecting the true null hypothesis.
E) None of the suggested answers are correct
CS Scanned with CamScanner
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