Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Given a sample size of 30, it is determined that ¯x = 56. It is known that σ = 8. Let α = .05 (a) Is the test lower-tailed, upper-tailed, or two-tailed?  (b) Identify the appropriate critical value. Which distribution did you use to find this value?  (c) What is the value of the test statistic? Show your work.

Find the test statistic, t, to test the hypothesiis that p, = ,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places, n,=25 n, = 30 X, =32 X2 = 30 $=1.5 %3D $2=1.9 O A. 1.986 O B. 4.361 O C. 2.892 券 O D. 3.287 Click to select your answer. 02/16/21 ch 2.3 Homework a 99+

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 Ho : µ = 10 vs Ha : µ > 10using the sample resultsI = 13.2, s = 8.7, with n = 12. (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 =

For the following​ claim, find the null and alternative​ hypotheses, test​ statistic, critical​ value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population.    ​Claim: The mean IQ score of statistics professors is less than 122. Sample​ data: n=21​, x=120​, s=14. The significance level is α=0.05.   1. Determine the test statistic t. t= ____ ​(Round to three decimal places as​ needed.)     2. Find the critical value using a​ t-distribution table.   The critical value is ____ ​(Round to three decimal places as​ needed.)     3. What is the​ conclusion?   A. Fail to reject the null hypothesis and do not support the claim tha μ>130. B. Reject the null hypothesis and do not support the claim that μ>130.   C. Reject the null hypothesis and support the claim that μ>130.   D. Fail to reject the null hypothesis and support the claim that μ>130.

The results of an independent-samples t test were t(18) = 4.42, p < 0.05. In this example, the sample size is:   Question 10 options:   16.   18.   19.   20.

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.   ​Claim: μ=50​; α=0.05​; σ=3.55. Sample​ statistics: x=49.2​, n=80 Identify the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ=50 Ha​: μ≠50 Your answer is correct.   B. H0​: μ<50 Ha​: μ=50   C. H0​: μ=50 Ha​: μ>50   D. H0​: μ=50 Ha​: μ<50   E. H0​: μ≠50 Ha​: μ=50   F. H0​: μ>50 Ha​: μ=50 Calculate the standardized test statistic.   The standardized test statistic is nothing. ​(Round to two decimal places as​ needed.)           More

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 =