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Name: The research and development (R&D) department of a paint manufacturer
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Description: The research and development (R&D) department of a paint manufacturer recently developed a new paint product. The developers are concerned the average area covered per gallon will be less for the new paint than for the existing product. To investiga

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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The research and development (R&D) department of a paint manufacturer recently developed a new paint product. The developers are concerned the average area covered per gallon will be less for the new paint than for the existing product. To investigate this concern, the R&D department set up a test in which two random samples of paint were selected. The first sample consisted of 25 one-gallon containers of the company's existing product, and the second of 15 one-gallon containers of the new paint. The statistics shown were computed from each
sample and refer to the number of square feet that each gallon will cover. Based on the sample data, what should the developers conclude using a significance level of 0.05? Assume the populations are normally distributed with equal variances.
Current Paint New Paint

Current Paint	New Paint
x1	=	Current Paint Column 423 sq. feet	x2	=	New Paint Column 418 sq feet
s1	=	21.7	s2	=	16.4
n1	=	25	n2	=	15

If the null hypothesis is H0: μ1−μ2≤0, what is the appropriate alternative hypothesis?
E.HA: μ1−μ2>0
Your answer is correct.F.

Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
A. t<

B. t <___ or t> ____

C. t>

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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