Question

In a hypothesis test with hypotheses H0 : ? = 90 and H1 : ? ? 90, a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 5% significance level. Assume the population is normally distributed. What are the critical values of t? -2.120 and 2.120 -1.753 and 1.753 -1.96 and 1.96 -2.131 and 2.131 What is the value of the test statistic, t, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?

          In a hypothesis test with hypotheses H0 : ? = 90 and H1 : ? ? 90, a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 5% significance level. Assume the population is normally distributed.

What are the critical values of t?
-2.120 and 2.120
-1.753 and 1.753
-1.96 and 1.96
-2.131 and 2.131

What is the value of the test statistic, t, rounded to three decimal places?

What is the p-value for this hypothesis test, rounded to four decimal places?

Should you reject or fail to reject the null hypothesis in this test?

Show more…

In a hypothesis test with hypotheses H0 : ? = 90 and H1 : ? ? 90, a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 5% significance level. Assume the population is normally distributed.

What are the critical values of t?
-2.120 and 2.120
-1.753 and 1.753
-1.96 and 1.96
-2.131 and 2.131

What is the value of the test statistic, t, rounded to three decimal places?

What is the p-value for this hypothesis test, rounded to four decimal places?

Should you reject or fail to reject the null hypothesis in this test?

Added by Nicole G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

06/09/2022

Step 1

8 - Population mean (\(\mu\)) = 90 - Sample standard deviation (s) = 5.7 - Sample size (n) = 16 Substitute the values into the formula: \[ t = \frac{85.8 - 90}{\frac{5.7}{\sqrt{16}}} \] \[ t = \frac{-4.2}{\frac{5.7}{4}} \] \[ t = \frac{-4.2}{1.425} \] \[ t = Show more…

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In a hypothesis test with hypotheses H0 : μ = 90 and H1 : μ ≠ 90, a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 5% significance level. Assume the population is normally distributed. What are the critical values of t? -2.120 and 2.120 -1.753 and 1.753 -1.96 and 1.96 -2.131 and 2.131 What is the value of the test statistic, t, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?

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