A simple random sample with n = 24 provided a sample mean of 40.2 and a sample standard deviation of 13. Test if the population mean is less than 46 with a = 0.05 Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than correct answers. i. The null hypothesis is Ho:4> 46 and the alternative hypothesis is H.: 46- Di. The test statistic is t = 46-40.2 13.5/√24 iii. With df-24-1-23 and, a= 0.05- we find t-1.714. The rejection region is (-infinity. -1.714). = 2.105

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A simple random sample with n = 24 provided a sample mean of 40.2 and a sample standard deviation of 13.5.
Test if the population mean is less than 46 with
a = 0.05-
Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than one
correct answers.
i. The null hypothesis is Ho:> 46 and the alternative hypothesis is Ha: ≤ 46-
Oil. The test statistic ist=
= 2.105.
46-40.2
13.5/√24
Oiii. With df - 24-1-23 and, a= 0.05. we find t-1.714. The rejection region is (-infinity. -1.714).
46-40.2
Div. The test statistic is t = = 2.105. Since 2.105> -1.714, we fail to reject the null hypothesis. We cannot conclude
13.5/√24
that the population mean is less than 46.
□v. The p-value is p(t <-2.105) = 0.0232- Since 0.0232 < 0.05, we reject the null hypothesis and conclude that the
population mean is less than 46.
Transcribed Image Text:A simple random sample with n = 24 provided a sample mean of 40.2 and a sample standard deviation of 13.5. Test if the population mean is less than 46 with a = 0.05- Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than one correct answers. i. The null hypothesis is Ho:> 46 and the alternative hypothesis is Ha: ≤ 46- Oil. The test statistic ist= = 2.105. 46-40.2 13.5/√24 Oiii. With df - 24-1-23 and, a= 0.05. we find t-1.714. The rejection region is (-infinity. -1.714). 46-40.2 Div. The test statistic is t = = 2.105. Since 2.105> -1.714, we fail to reject the null hypothesis. We cannot conclude 13.5/√24 that the population mean is less than 46. □v. The p-value is p(t <-2.105) = 0.0232- Since 0.0232 < 0.05, we reject the null hypothesis and conclude that the population mean is less than 46.
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