To test Ho: σ = 2.1 versus H₁: 0>2.1, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = ☐ (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.) (c) Since the P-value is than the level of significance, the researcher reject the null hypothesis Ho: a 2.1.

A sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is the standard error for the sample mean?

Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10. Sample 1 Sample 2 n, = 17 n2 = 13 %3D x, = 5.3 x, = 7.6 S, = 3.9 S2 = 4.7 ... Find the test statistic. The test statistic is (Round to two decimal places as needed.) Find the p-value. The p-value is (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence that the means differ. O B. Do not reject Ho. There is sufficient evidence that the means differ. O C. Reject Ho. There is sufficient evidence that the means differ. O D. Reject Ho. There is insufficient evidence that the means differ.