Question

1. A random sample of 200 observations indicates a sample mean of 4117 with a standard...

1.

A random sample of 200 observations indicates a sample mean of 4117 with a standard deviation of 300. Test the hypothesis that the mean is greater than 4100 at alpha = 0.01.

Group of answer choices

Ho: μ ≤ 4100, Ha: μ > 4100; critical value -2.33, z= -0.92, fail to reject Ho.

Ho: μ ≤ 4100, Ha: μ > 4100; critical value -2.33, z= -2.34, reject Ho.

Ho: μ ≤ 4100, Ha: μ > 4100; critical value -1.96, z= -2.1, reject Ho.

Ho: μ ≤ 4100, Ha: μ > 4100; critical value -2.33, z= -0.80, fail to reject Ho.

2.

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied.

left-tailed test, alpha = 0.01, n = 15

right-tailed test, alpha = 0.10, n = 20

two-tailed test, alpha = 0.05, n =8

3.

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied.

left-tailed test, alpha = 0.005, n = 12

right-tailed test, alpha = 0.025, n = 5

two-tailed test, alpha = 0.10, n =25

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Answer #1

1.

A random sample of 200 observations indicates a sample mean of 4117 with a standard deviation of 300. Test the hypothesis that the mean is greater than 4100 at alpha = 0.01.

Group of answer choices

.

Ho: μ ≤ 4100, Ha: μ > 4100; critical value -2.33, z= -0.80, fail to reject Ho.

2.

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied.

left-tailed test, alpha = 0.01, n = 15

critical value = -2.624

right-tailed test, alpha = 0.10, n = 20

critical value =1.328

two-tailed test, alpha = 0.05, n =8

critical value = (-2.365 , 2.365)

3.

Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied.

left-tailed test, alpha = 0.005, n = 12

critical value = -3.106

right-tailed test, alpha = 0.025, n = 5

critical value = 2.776

two-tailed test, alpha = 0.10, n =25

critical value = (-1.711 , 1.711)

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