The mean of a population is assumed to be 75. However data suggests the mean can be less than 75. A sample of size 100 from the population is considered. Assume a calculated sample mean of 60 and a standard deviation of 10. At the 1% significance level we will determine if the null hypothesis should be rejected. Give the null and alternative hypothesis.

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Question 10: give the conclusion.
The mean of a population is assumed to be 75. However data
suggests the mean can be less than 75. A sample of size
100 from the population is considered. Assume a calculated
sample mean of 60 and a standard deviation of 10. At the 1%
significance level we will determine if the null hypothesis
should be rejected. Give the null and alternative hypothesis.
Transcribed Image Text:The mean of a population is assumed to be 75. However data suggests the mean can be less than 75. A sample of size 100 from the population is considered. Assume a calculated sample mean of 60 and a standard deviation of 10. At the 1% significance level we will determine if the null hypothesis should be rejected. Give the null and alternative hypothesis.
Give the conclusion.
O Reject the null since the test statistic is in the rejection region and
the p value is less than the significance.
Reject the null since the test statistic is in the rejection region and
the p -value is larger than the significance.
O Fail to reject the null since the test statistic is not in the rejection
region and the p-value is less than the significance..
Fail to reject the null since the test statistic is not in the rejection
region and the p-value is larger than the significance.
Transcribed Image Text:Give the conclusion. O Reject the null since the test statistic is in the rejection region and the p value is less than the significance. Reject the null since the test statistic is in the rejection region and the p -value is larger than the significance. O Fail to reject the null since the test statistic is not in the rejection region and the p-value is less than the significance.. 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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