5. Suppose a tire company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The table below shows the san sizes and the standard deviations, in miles, calculated for each sample. Complete parts a and b. Brand 2 Sample standard deviation 3,700 miles 3,300 miles 30 Brand 1 Sample size 30 a. Using a = 0.10, determine if there is a difference in the variability of the two tire brands. Identify the null and alternative hypotheses. Họ: o? (1) H: o? (2) Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s).

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5. Suppose a tire company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The table below shows the sample
sizes and the standard deviations, in miles, calculated for each sample. Complete parts a and b.
Brand 1
Brand 2
Sample standard deviation
Sample size
3,700 miles 3,300 miles
30
30
a. Using a = 0.10, determine if there is a difference in the variability of the two tire brands.
Identify the null and alternative hypotheses.
Ho: o? (1)
H4: o3 (2)
Calculate the appropriate test statistic.
The test statistic is
(Round to two decimal places as needed.)
Determine the appropriate critical value(s).
The critical value(s) is(are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
(3)
the null hypothesis. There is (4)
evidence that the population variance for Brand 1 is (5)
the population variance for Brand 2
b. Use technology to find the p-value and interpret the result.
The p-value is
(Round to three decimal places as needed.)
Since the p-value is (6)
a = 0.10, (7).
the null hypothesis. There is (8)
evidence to conclude that the population variance for Brand 1 (9)
Brand 2.
O Reject
O Do not reject
O sufficient
O differs from
(5) O different from
O equal to
(6) O greater than
(7) O do not reject
(8) O insufficient
O sufficient
(2)
(3)
(4)
(9)
O insufficient
O less than
O reject
O is greater than
O is less than
O greater than
O less than
O equals
00
000
Transcribed Image Text:5. Suppose a tire company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The table below shows the sample sizes and the standard deviations, in miles, calculated for each sample. Complete parts a and b. Brand 1 Brand 2 Sample standard deviation Sample size 3,700 miles 3,300 miles 30 30 a. Using a = 0.10, determine if there is a difference in the variability of the two tire brands. Identify the null and alternative hypotheses. Ho: o? (1) H4: o3 (2) Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) (3) the null hypothesis. There is (4) evidence that the population variance for Brand 1 is (5) the population variance for Brand 2 b. Use technology to find the p-value and interpret the result. The p-value is (Round to three decimal places as needed.) Since the p-value is (6) a = 0.10, (7). the null hypothesis. There is (8) evidence to conclude that the population variance for Brand 1 (9) Brand 2. O Reject O Do not reject O sufficient O differs from (5) O different from O equal to (6) O greater than (7) O do not reject (8) O insufficient O sufficient (2) (3) (4) (9) O insufficient O less than O reject O is greater than O is less than O greater than O less than O equals 00 000
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