# Answer to Question #17205 in Statistics and Probability for Kristen

Question #17205

Midwestern and Southern households were independently sampled and data collected regarding annual vehicle miles driven (in thousands). Using the data provided, perform an independent t-test using a pooled variance to determine if there is any difference in the two sample means at the .05 level.

Midwest South

Mean 15.23 18.39

Var 4.76 4.12

n 15 18

2. The tread wear of 11 tires is measured using two methods: one is based on the weight of the tire remaining and other is based on the height of the tire grooves remaining. Using a paired t-test (since they are the same tire) and the results in the table for tread wear based on the two methods, is there enough evidence at the .05 level to conclude that there is a difference between the two methods of measuring tread wear?

Tread wear by Tire weight method

(thousands of miles) Tread wear by Groove height method

(thousands of miles)

28.7 30.5

25.9 30.9

23.3 31.9

23.1 30.4

23.7 27.3

20.9 20.4

16.1 24.5

19.9 20.9

15.2 18.9

11.5 13.7

11.2 11.4

3. Firearms leave unique markings on shell casings called ballistic fingerprints. In a survey of 437 woman and 595 men, 396 of the women and 407 of the men supported gun control measures that included ballistic fingerprinting. Use a z-test of proportions to determine if there is any difference in the opinions of the genders on this topic. Use the 0.05 level of significance.

Midwest South

Mean 15.23 18.39

Var 4.76 4.12

n 15 18

2. The tread wear of 11 tires is measured using two methods: one is based on the weight of the tire remaining and other is based on the height of the tire grooves remaining. Using a paired t-test (since they are the same tire) and the results in the table for tread wear based on the two methods, is there enough evidence at the .05 level to conclude that there is a difference between the two methods of measuring tread wear?

Tread wear by Tire weight method

(thousands of miles) Tread wear by Groove height method

(thousands of miles)

28.7 30.5

25.9 30.9

23.3 31.9

23.1 30.4

23.7 27.3

20.9 20.4

16.1 24.5

19.9 20.9

15.2 18.9

11.5 13.7

11.2 11.4

3. Firearms leave unique markings on shell casings called ballistic fingerprints. In a survey of 437 woman and 595 men, 396 of the women and 407 of the men supported gun control measures that included ballistic fingerprinting. Use a z-test of proportions to determine if there is any difference in the opinions of the genders on this topic. Use the 0.05 level of significance.

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