An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpm). 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 wpm. A one-sample t-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpm. The resulting p-value was 0.267.   Which of the following is a correct interpretation of the p-value?     The probability is 0.267 that the mean typing speed is 60 wpm or more for workers from the agency. A The probability is 0.267 that the mean typing speed is 60 wpm or less for workers from the agency. B The probability is 0.267 that the mean typing speed is 58.8 wpm or less for workers from the agency. C If the mean typing speed of workers from the agency is 60  wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267. D If the mean typing speed of workers from the agency is less than 60 wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267.

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
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An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpm). 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 wpm. A one-sample t-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpm. The resulting p-value was 0.267.

 

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

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

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

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

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

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

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