Question

In: Statistics and Probability

A paint manufacturer wished to compare the drying times of two different types of paint. Independent...

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
1 = 76.9 2= 63.7
s1 = 4.5 s2 = 5.1
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.

Round your answer in 2 decimal places

< μ 1 −

Solutions

Expert Solution

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Since we can assume that population variances are equal so we can use pooled SD.

Answer:

7.72 < μ 1 − μ 2 < 18.68


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