The mean of a population is assumed to be 5000. However, it is also believed the mean is not 5000. A sample of size 49 from the population is considered. Assume a calculated sample mean of 5100 and a standard deviation of 100. At the 5% significance level we will determine if the null hypothesis will be rejected. Give the null and alternative hypotheses.
The mean of a population is assumed to be 5000. However, it is also believed the mean is not 5000. A sample of size 49 from the population is considered. Assume a calculated sample mean of 5100 and a standard deviation of 100. At the 5% significance level we will determine if the null hypothesis will be rejected. Give the null and alternative hypotheses.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Question 15: give the conclusion.
![The mean of a population is assumed to be 5000. However, it
is also believed the mean is not 5000. A sample of size 49 from
the population is considered. Assume a calculated sample
mean of 5100 and a standard deviation of 100. At the 5%
significance level we will determine if the null hypothesis will
be rejected. Give the null and alternative hypotheses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e2dc01e-c1fa-459d-9305-aefe7746c3f5%2F3cb53645-e4e9-49bf-b3f7-c21659115268%2Fcy4do37_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mean of a population is assumed to be 5000. However, it
is also believed the mean is not 5000. A sample of size 49 from
the population is considered. Assume a calculated sample
mean of 5100 and a standard deviation of 100. At the 5%
significance level we will determine if the null hypothesis will
be rejected. Give the null and alternative hypotheses.
![Give the conclusion.
Reject the null since the test statistic is in the rejection region and
the p value is less than the significance.
O Reject the null since the test statistic is in the rejection region and
the p-value is greater than the significance.
Fail to reject the null since the test statistic is not in the rejection
region and the p-value is less than the significance..
O Fail to reject the null since the test statistic is not in the rejection
region and the p-value is larger than the significance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e2dc01e-c1fa-459d-9305-aefe7746c3f5%2F3cb53645-e4e9-49bf-b3f7-c21659115268%2Fidz4s4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Give the conclusion.
Reject the null since the test statistic is in the rejection region and
the p value is less than the significance.
O Reject the null since the test statistic is in the rejection region and
the p-value is greater than the significance.
Fail to reject the null since the test statistic is not in the rejection
region and the p-value is less than the significance..
O Fail to reject the null since the test statistic is not in the rejection
region and the p-value is larger than the significance.
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