According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of December, compared to 12.7 hours for men. as in the table below contains the survey data underlying these results, use the 0.01 level in examining whether the sample mean for women is significantly higher than that for men. find the p-value for the test.womenmen13,911,927,615,911,617,921,012,620,912,120,310,59,711,915,616,522,511,226,45,317,014,423,216,313,110,822,110,521,6

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Answered: According to a Yankelovich poll, women…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of December, compared to 12.7 hours for men. as in the table below contains the survey data underlying these results, use the 0.01 level in examining whether the sample mean for women is significantly higher than that for men. find the p-value for the test.

women	men
13,9	11,9
27,6	15,9
11,6	17,9
21,0	12,6
20,9	12,1
20,3	10,5
9,7	11,9
15,6	16,5
22,5	11,2
26,4	5,3
17,0	14,4
23,2	16,3
13,1	10,8
22,1	10,5
21,6

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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