Question

. Given: n1 = 50, x¯1 = 16.735, σ1 = 1.14, n2 = 45, x¯2 = 14.384, σ2 = 1.592 (a) (2 points) Round given data to one-decimal place, and then complete the following table. Sample 1 Sample 2 n1 = n2 = x¯1 = x¯2 = σ1 = σ2 = (b) (3 points) Construct 99% confidence interval for the difference between population means µ1 − µ2 using data summarized in the table. (b) Page 2 of 4 Study Guide 27 Total Points: 50 (c) (2 points) Compute the margin of error. (c) (d) (2 points) Construct 90% confidence interval for the difference between population means µ1 − µ2 using data summarized in the table. (d) A researcher claims there is no difference between the two population means and wishes to use our summarized data in the table to perform a hypothesis testing between two population means. (e) (2 points) Clearly state H0 and H1, and identify the type of test. H0 : H1 : (f) (3 points) Using α = 0.02 significance level, find and name all related critical values, draw the distribution, and clearly mark and shade the critical region(s). (g) (3 points) Find the computed test statistic and the P-value. C.T.S. : P-Value : (h) (2 points) Use non-statistical terminology to express your final conclusion about the researcher’s claim.

Answer 1