Given the following hypotheses: H0: μ ≤ 13 H1: μ > 13 A random sample of...

Given the following hypotheses:

H₀: μ ≤ 13

H₁: μ > 13

A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.6. Using the 0.050 significance level:

a.	State the decision rule. (Round your answer to 3 decimal places.)

Reject H₀ if t >

b.	Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic

c.	What is your decision regarding the null hypothesis?

(Click to select)RejectCannot reject H₀. There is (Click to select)insufficientsufficient evidence to conclude that the population mean is greater than 13.

Solutions

Expert Solution

milcah answered 9 months ago

Next > < Previous

Related Solutions

Given the following hypotheses: H0: μ = 440 H1: μ ≠ 440 A random sample of...

Given the following hypotheses: H0: μ = 440 H1: μ ≠ 440 A random sample of 10 observations is selected from a normal population. The sample mean was 445 and the sample standard deviation 4. Using the 0.05 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) 1) Reject Ho when the test statistic is outside the interval ( , ) 2.) Compute the value of the...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.2. Using the 0.100 significance level: a. State the decision rule. (Round your answer to 3 decimal places.) Reject H0 if t > b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic c....

Given the following hypotheses: H0: μ = 400 H1: μ ≠ 400 A random sample of...

Given the following hypotheses: H0: μ = 400 H1: μ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the 0.01 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the...

Given the following hypotheses: H0: μ = 480 H1: μ ≠ 480 A random sample of...

Given the following hypotheses: H0: μ = 480 H1: μ ≠ 480 A random sample of 14 observations is selected from a normal population. The sample mean was 488 and the sample standard deviation was 8. Using the 0.10 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation was 3. Using the 0.05 significance level: a.State the decision rule. (Round your answer to 3 decimal places.) b.Compute the value of the test statistic. (Round your answer to 3 decimal places.) c.What is your decision regarding the null hypothesis?

Given the following hypotheses: H0: μ = 530 H1: μ ≠ 530 A random sample of...

Given the following hypotheses: H0: μ = 530 H1: μ ≠ 530 A random sample of 9 observations is selected from a normal population. The sample mean was 535 and the sample standard deviation 8. Using the 0.05 significance level: 1. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) reject H0 when the test statistic is (inside/outside) the interval (_____,_____) 2. Compute the value of the test statistic....

For testing the following hypotheses: H0: μ=126 H1: μ≠126 For a random sample of 16 individuals,...

For testing the following hypotheses: H0: μ=126 H1: μ≠126 For a random sample of 16 individuals, the computed Z-test statistic was equal to -1.77 Calculate the p-value. Based on your p-value answer, would this Z-test be considered significant at alpha equal to 0.01? Why or why not?

Given the following hypothesis: H0: μ = 100 H1: μ ≠ 100 A random sample of...

Given the following hypothesis: H0: μ = 100 H1: μ ≠ 100 A random sample of six resulted in the following values: 118 ,120 ,107 ,115 ,115 ,107 Using the 0.02 significance level, can we conclude that the mean is different from 100? a. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) Reject H0: μ = 100 and accept H1: μ ≠ 100 when the test...

Given the following hypothesis: H0: μ = 100 H1: μ ≠ 100 A random sample of...

Given the following hypothesis: H0: μ = 100 H1: μ ≠ 100 A random sample of six resulted in the following values: 114 120 119 108 113 108 Using the 0.01 significance level, can we conclude that the mean is different from 100? a. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) Reject H0: μ = 100 and accept H1: μ ≠ 100 when the test...

Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample...

Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample of 16 observations taken from this population produced a sample mean of 75.2. The population is normally distributed with σ = 6. a. Calculate the p-value. b. Considering the p-value of part a, would you reject the null hypothesis if the test were made at a significance level of .01? c. Find the critical value and compare it with the test statistic. What would...

Subjects