Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows. Type A Type B x1 = 75.7 hrs x2 = 64.3 hrs s1 = 4.5 hrs s2 = 5.1 hrs n1 = 11 n2 = 9 Construct a 98% confidence interval for the difference between the mean drying time for paint of type A and the mean drying time for paint of type B. Group of answer choices (5.85 hrs, 16.95 hrs) (6.34 hrs ,  16.46 hrs) (5.79hrs ,  17.01 hrs) (6.08 hrs ,  16.72 hrs)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows.

Type A Type B

x1 = 75.7 hrs
x2 = 64.3 hrs
s1 = 4.5 hrs s2 = 5.1 hrs
n1 = 11 n2 = 9


Construct a 98% confidence interval for the difference between the mean drying time for paint of type A and the mean drying time for paint of type B.

Group of answer choices
(5.85 hrs, 16.95 hrs)
(6.34 hrs ,  16.46 hrs)
(5.79hrs ,  17.01 hrs)
(6.08 hrs ,  16.72 hrs)
Expert Solution
Step 1

Given:

Type A Type B

x1 = 75.7 hrs
x2 = 64.3 hrs
s1 = 4.5 hrs s2 = 5.1 hrs
n1 = 11 n2 = 9

We have to construct a 98% confidence interval for the difference between the mean drying time for paint of type A and the mean drying time for paint of type B.

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