Two competing brands, Rain and Shine, produced two different latex paints, and plan to sponsor a home makeover by Maria Andrea TV (MATV). While thankful with these two sponsorships, MATV producers wish to partner with the brand with the most consistent drying times since, based on experience, some paints from another brand dry fast while some dry longer than expected even if the paints came from the same brand. Fifteen specimens from Rain and sixteen specimens from Shine were collected as follows (see photo). Assuming that the drying time is normally distributed,

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 59E: Describe how to determine the probability of an event.
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Show all pertinent solutions. No immediate rounding. Round off final answers to four decimal places. For final answers with less than four decimal values, keep them as is.

Two competing brands, Rain and Shine, produced two different latex paints, and plan to sponsor a home makeover by Maria Andrea TV (MATV). While thankful with these two sponsorships, MATV producers wish to partner with the brand with the most consistent drying times since, based on experience, some paints from another brand dry fast while some dry longer than expected even if the paints came from the same brand. Fifteen specimens from Rain and sixteen specimens from Shine were collected as follows (see photo).

Assuming that the drying time is normally distributed, construct a 95% confidence interval to determine which brand of paint produced more consistent drying times.

Rain
3.5
2.7
3.9
4.2
3.6
2.7
3.3
5.2
4.2
2.9
4.4
5.2
4.0
4.1
3.4
Shine
4.7
3.9
4.5
5.5
4.0
5.3
4.3
6.0
5.2
3.7
5.5
6.2
5.1
5.4
4.8
4.4
Transcribed Image Text:Rain 3.5 2.7 3.9 4.2 3.6 2.7 3.3 5.2 4.2 2.9 4.4 5.2 4.0 4.1 3.4 Shine 4.7 3.9 4.5 5.5 4.0 5.3 4.3 6.0 5.2 3.7 5.5 6.2 5.1 5.4 4.8 4.4
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