Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 148 lbs and standard deviation equal to 19 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 153 lbs. Roger uses a z-test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the z-statistic as 1.86 standard deviations above the mean. Use this standard normal z-distribution table to calculate the P-value of this statistic. Give your answer as a decimal rounded to four places. P-value:
Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 148 lbs and standard deviation equal to 19 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 153 lbs. Roger uses a z-test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the z-statistic as 1.86 standard deviations above the mean. Use this standard normal z-distribution table to calculate the P-value of this statistic. Give your answer as a decimal rounded to four places. P-value:
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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![Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 148 lbs and standard deviation equal to 19 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 153 lbs. Roger uses a z-test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the z-statistic as 1.86 standard deviations above the mean.
Use this standard normal z-distribution table to calculate the P-value of this statistic. Give your answer as a decimal rounded to four places.
\[ \text{P-value: \_\_\_\_\_} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44eaf7b1-870e-44a3-9a97-e107793795ae%2Fac69d41a-b41e-4435-bcad-fa5ed84efa0b%2F9ppp8yg_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 148 lbs and standard deviation equal to 19 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 153 lbs. Roger uses a z-test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the z-statistic as 1.86 standard deviations above the mean.
Use this standard normal z-distribution table to calculate the P-value of this statistic. Give your answer as a decimal rounded to four places.
\[ \text{P-value: \_\_\_\_\_} \]
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