1. The mid-distance running coach, Zdravko Popovich, for the Olympic team of an

ID: 2982307 • Letter: 1

Question

1. The mid-distance running coach, Zdravko Popovich, for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under coach Popovich, the same five runners' 1500 meter run time was recorded again. The results are given below.

At alpha levels of .05 and 0.10, test whether there has been a significant decrease in the mean time per mile?

2. Test H0: ?1? ?2; H1: ?1 > ?2 at ? = 0.05, when 1 = 75, 2 = 72, s1 = 3.3, s2 = 2.1, n1= 6, n2= 6. Assume equal variances. Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.

3. Consider the 3X2 contingency table below

Factor A

Factor B

At a significance levels of 0.05 and 0.01, test H0: the factors A and B are independent.

4. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items.
At a significance level of .05, the management wants to perform a hypothesis test to determine if the quality of the items produced appears to be independent of the production process used. Based on Chi-square test, we:

A. Reject H0 and conclude that the quality of the product is not the same for all processes
B. Reject H0 and conclude that the quality of the product is dependent on the manufacturing process
C. Failed to reject H0 and conclude that the quality of the product does not significantly differ among the three processes
D. Failed to reject H0 and conclude that the quality of the product is not the same for all processes
E. Reject H0 and conclude that the quality of the product is independent of the manufacturing process used.

5. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05, the management wants to perform a hypothesis test to determine whether the quality of items produced appears to be independent of the production process used. What is the rejection point condition?
A. Reject H0 if c2> 0.10257
B. Reject H0 if c2> 5.99147
C. Reject H0 if c2> 9.3484
D. Reject H0 if c2> 7.37776
E. Reject H0 if c2> 7.81473

6. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05, the management wants to perform a hypothesis test to determine whether the quality of items produced appears to be independent of the production process used. Calculate the expected number of defective units produced by Process 2.
A. 29
B. 21
C. 30
D. 16
E. 15

Factor A

Factor B