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? O a. There is sufficient evidence to conclude that the population mean is greater than 65 with no more than a 0.1% probability of incorrectly rejecting the true null hypothesis. O b. The sample evidence proves beyond a doubt that the population mean is greater than 65. O c. The null hypothesis would be rejected if a 1% probability of committing a TypeI error is

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? O a. There is sufficient evidence to conclude that the population mean is greater than 65 with no more than a 0.1% probability of incorrectly rejecting the true null hypothesis. O b. The sample evidence proves beyond a doubt that the population mean is greater than 65. O c. The null hypothesis would be rejected if a 1% probability of committing a TypeI error is

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

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?
O a. There is sufficient evidence to conclude that the population mean is greater than 65
with no more than a 0.1% probability of incorrectly rejecting the true null hypothesis.
O b. The sample evidence proves beyond a doubt that the population mean is greater than
65.
O c. The null hypothesis would be rejected if a 1% probability of committing a Type I error is
allowed.
O d. There is sufficient evidence to show that the population mean is greater than 65 using
a level of significance of at least 10%.
е.
None of the suggested answers are correct

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