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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 16 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μA - μB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. Brand A S₁ = 5000 kilometers X₁ = 34,900 kilometers x2 = 37,600 kilometers Brand B S₂ = 6400 kilometers Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.

A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 16 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μA - μB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. Brand A S₁ = 5000 kilometers X₁ = 34,900 kilometers x2 = 37,600 kilometers Brand B S₂ = 6400 kilometers Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 16 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μA - HB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. Brand A x₁ = 34,900 kilometers S₁ = 5000 kilometers S2 = 6400 kilometers Brand B X2 = 37,600 kilometers Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <HA HB ← (Round to the nearest integer as needed.)
Transcribed Image Text:A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 16 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μA - HB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. Brand A x₁ = 34,900 kilometers S₁ = 5000 kilometers S2 = 6400 kilometers Brand B X2 = 37,600 kilometers Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <HA HB ← (Round to the nearest integer as needed.)
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. n₁ = 13 X₁ = 11 Medication 1 + X₂ = 16 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Medication 2 = 19 n₂ = The confidence interval is <H₂ − µ₁ < · (Round to two decimal places as needed.) s²₁ = S = 1.8 2 $₂ = 1.1
Transcribed Image Text:The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. n₁ = 13 X₁ = 11 Medication 1 + X₂ = 16 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Medication 2 = 19 n₂ = The confidence interval is <H₂ − µ₁ < · (Round to two decimal places as needed.) s²₁ = S = 1.8 2 $₂ = 1.1
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