Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 150 lbs and standard deviation equal to 17 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 154 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 1.66 standard deviations above the mean. Use this standard normal z‑distribution table to calculate the ?-valueP-value of this statistic. Give your answer as a decimal rounded to four places.

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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 150 lbs and standard deviation equal to 17 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 154 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 1.66 standard deviations above the mean.

Use this standard normal z‑distribution table to calculate the ?-valueP-value of this statistic. Give your answer as a decimal rounded to four places.

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