# Math

2. The following is a random sample of grades achieved on statistics examination by 10 male students in a very large class and a random sample of grades achieved by 8 female students.
Male 78 87 75 64 90 80 65 86 74 81
Female 71 50 80 75 90 61 85 81
Test at  = 0.01 level to test whether the difference between the means of these two samples is significant.

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1. Generate an SPSS output and write the 5-step solutions for each of the following problems. All answers should be in two-decimal places:

1. A non-government consumer protection agency wants to test the credibility of the manufacturer's claim that the average capacity is 140 ampere-hours. To test the claim, 20 batteries from a recently produced batch were tested. The results, in ampere-hours are as follows:
140.0 137.5 138.9 140.0 144.0 139.1
141.9 137.4 133.6 138.2 140.1 139.6
136.8 137.3 35.0 139.0 141.3 140.6
135.3 134.2 Test at  = 0.05

2. The following is a random sample of grades achieved on statistics examination by 10 male students in a very large class and a random sample of grades achieved by 8 female students.
Male 78 87 75 64 90 80 65 86 74 81
Female 71 50 80 75 90 61 85 81
Test at  = 0.01 level to test whether the difference between the means of these two samples is significant.

3. To reduce the number of plant accidents. BLBTZ Co. implemented a new safety program for employees. To determine its effectiveness the number of accidents a week was recorded before and after the program was implemented.
Week 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
Before 12 10 9 15 11 8 16 13 14 20
After 10 9 12 8 6 10 12 7 5 11
Test at  - 0.05 if the new safety program is effective in reducing accidents.

4. The following are the number of minutes it took a random sample of 10 men and 12 women applicants to complete applications for employment at the human resource department of ABC Corporation.
Men: 19.4 18.5 19.8 18.9 21.0 18.7 19.6 18.3 19.5 17.9
Women: 20.0 19.6 21.3 18.5 25.7 30.1 19.6 22.4 20.3 25.9 26.0 15.8
Test at 0.01 level if there is a significant difference in the mean number of minutes used by the
two groups of applicants.

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