An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpmwpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8 wpmwpm. A one-sample tt-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpmwpm. The resulting pp-value was 0.267.Which of the following is a correct interpretation of the pp-value? The probability is 0.267 that the mean typing speed is 60 wpmwpm or more for workers from the agency.AThe probability is 0.267 that the mean typing speed is 60 wpmwpm or less for workers from the agency.BThe probability is 0.267 that the mean typing speed is 58.8 wpmwpm or less for workers from the agency.CIf the mean typing speed of workers from the agency is 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8 wpmwpm or less is 0.267.DIf the mean typing speed of workers from the agency is less than 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8 wpmwpm or less is 0.267.E

Name: An agency that hires out clerical workers claims its workers can type,
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Description: An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpmwpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpmwpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8 wpmwpm. A one-sample tt-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpmwpm. The resulting pp-value was 0.267.

Which of the following is a correct interpretation of the pp-value?

The probability is 0.267 that the mean typing speed is 60 wpmwpm or more for workers from the agency.

A
The probability is 0.267 that the mean typing speed is 60 wpmwpm or less for workers from the agency.

B
The probability is 0.267 that the mean typing speed is 58.8 wpmwpm or less for workers from the agency.

C
If the mean typing speed of workers from the agency is 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8 wpmwpm or less is 0.267.

D
If the mean typing speed of workers from the agency is less than 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8 wpmwpm or less is 0.267.

E

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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