[The following information applies to the questions displayed below.] A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level. H0: μ ≤ 10 H1: μ > 10 1. Value: 10.00 points Required information a. Is this a one- or two-tailed test? One-tailed test Two-tailed test References EBook & Resources Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean. eBook: Conduct a test of a hypothesis about a population mean. Check my work 2. Value: 10.00 points Required information b. What is the decision rule? Reject H0 when z ≤ 2.326 Reject H0 when z > 2.326 References EBook & Resources Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean. eBook: Conduct a test of a hypothesis about a population mean. Check my work 3. Value: 10.00 points Required information c. What is the value of the test statistic? Value of the test statistic References EBook & Resources Worksheet Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean. eBook: Conduct a test of a hypothesis about a population mean. Check my work 4. Value: 10.00 points Required information d. What is your decision regarding H0? Fail to reject H0 Reject H0 References EBook & Resources Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean. eBook: Conduct a test of a hypothesis about a population mean. Check my work 5. Value: 10.00 points Required information e. What is the p-value? p-value References 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 .01 significance level: a. 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 the interval (,). 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? Do not reject Reject The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster? a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Rej.