Consider the hypothesis test Ho: μ₁ and X2 - α = 0.05. 7.9 and that s 4 and s = = μ2 against H₁: M₁ = μ2. Suppose that sample sizes are n = 15 and 2 15, that x = 4.6 6.19. Assume that o₁ = 0 and that the data are drawn from normal distributions. Use (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is -2? Assume that a = 0.05. (a) The null hypothesis V rejected. The P-value is i Round your answer to four decimal places (e.g. 98.7654). (b) The power is i Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = i Round your answer to the nearest integer.

A sample of 30 observations is selected from a normal population. The sample mean is 59, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level.H0: μ = 62H1: μ ≠ 62 a. Is this a one- or two-tailed test? (One-tailed or Two-tailed) b. What is the decision rule? (Reject H0 if −2.326 < z < 2.326 or Reject H0 if z < −2.326 or z > 2.326) c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)The value of the test statistic is d. What is your decision regarding H0? (Reject H0 or Fail to reject H0)  e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)The p-value is e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)There is a  % chance of finding a z value this large by "sampling error" When H0 is true.

Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H₁₂; a=0.01. Assume o² #02 Sample statistics: x₁ =2417, s₁ = 174, n₁ = 15 and X2=2301, $255, n₂ = 10 dentify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha H1> H2 OC. Ho: H₁₂ H₂H₁₂ O E. Ho: H1 H2 Hai P1 P2 Find the standardized test statistic t. OB. Ho: H1 H2 D. Ho: H1 H2 H: H₁₂ OF. Ho: 12 Ha H1 H2 Time Remaining: 00:59:29 Next Inser

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40.     (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value =

The time needed to find a parking space is normally distributed with a mean of 20 minutes and a standard deviation of 5.18 minutes. 90% of the time, it takes less than how many minutes to find a parking space?

A random sample of size 10 yielded roughly "mound-shaped" data with a sample mean of 63.5 and a sample variance of 60.8. Let (L, OU) be the interval estimate that contains the population mean with 95% probability. Find the width of the interval. That is, find 0 – 0₁. 4.52 5.49 5.58 5.70 9.04 10.99 11.16 11.40 none of the other answers give the correct width

In a test of H0: μ = 14 against HA: μ < 14, the sample data with sample size 25 from a normal distribution yielded a test statistic Tobs = -3.15. Bracket the p-value for the test.