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(Solved): The following measurements were recorded for the drying time, in minutes, of two brands of latex pa ...




The following measurements were recorded for the drying time, in minutes, of two
brands of latex paint. The 9 measurements ar
The following measurements were recorded for the drying time, in minutes, of two brands of latex paint. The 9 measurements are conducted for each brand of latex paint. Assume that the drying times are approximately normally distributed, that the variances of the drying times are approximately equal for the two brands, and that the samples are independent. Type | Drying Time (min.) 34 Brand A 32 37 35 28 41 44 35 31 Brand B 35 31 29 25 34 40 27 32 31 Table 1: Drying time for the two brands of latex paint (a) (5 points) Construct a 95% confidence interval for the variance of the drying times based on Brand A. (b) (5 points) Find a 99% confidence interval for the mean of the drying times based on Brand B. (c) (10 points) Find a 95% confidence interval for the true mean difference of the drying time, ?A - HB.


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For Brand A : ?x = 317 ?x² = 11361 n1 = 9 Mean , x?1 = ?x/n = 317/9 = 35.2222 Standard deviation, s1 = ?[(?x² - (?x)²/n)/(n-1)] = ?[(11361-(317)²/9)/(9-1)] = 4.9441 For Brand B : ?x = 284 ?x² = 9122 n2 = 9 Mean , x?2 = ?x/n = 284/9 = 31.5556 Standard
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