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Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean of 2.4 mm and a standard deviation of 11.4 mm. Researchers suspect that in recent years, the mean amount of daily precipitation has changed, so they plan to obtain data for a random sample of 195 days over the past five years and use this data to conduct a one-sample z-test c Ho: µ = 2.4 mm against H1 # 2.4 mm, where u is the mean daily precipitation for the last five years. Although they realize that rainfall does not follow a normal distribution, they feel safe using a z-test because the sample size is large. The researchers want to know what the power of this test is to reject the null hypothesis at significance level a = 0.05 if the actual mean daily precipitation is 2.6 mm or more. Computing power by hand requires two steps. The first step is to use a significance level of 0.05 to determine the values of the sample mean for which they will reject their null hypothesis. Give your answer to the nearest 0.1 mm. The researchers will reject their null hypothesis if the sample mean is

Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean of 2.4 mm and a standard deviation of 11.4 mm. Researchers suspect that in recent years, the mean amount of daily precipitation has changed, so they plan to obtain data for a random sample of 195 days over the past five years and use this data to conduct a one-sample z-test c Ho: µ = 2.4 mm against H1 # 2.4 mm, where u is the mean daily precipitation for the last five years. Although they realize that rainfall does not follow a normal distribution, they feel safe using a z-test because the sample size is large. The researchers want to know what the power of this test is to reject the null hypothesis at significance level a = 0.05 if the actual mean daily precipitation is 2.6 mm or more. Computing power by hand requires two steps. The first step is to use a significance level of 0.05 to determine the values of the sample mean for which they will reject their null hypothesis. Give your answer to the nearest 0.1 mm. The researchers will reject their null hypothesis if the sample mean is

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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uestion 9 of 20 Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean of 2.4 mm and a standard deviation of 11.4 mm. Researchers suspect that in recent years, the mean amount of daily precipitation has changed, so they plan to obtain data for a random sample of 195 days over the past five years and use this data to conduct a one-sample z-test q Ho: u = 2.4 mm against H;+ 2.4 mm, where u is the mean daily precipitation for the last five years. Although they realize that rainfall does not follow a normal distribution, they feel safe using a z-test because the sample size is large. The researchers want to know what the power of this test is to reject the null hypothesis at significance level a = 0.05 if the actual mean daily precipitation is 2.6 mm or more. Computing power by hand requires two steps. The first step is to use a significance level of 0.05 to determine the values of the sample mean for which they will reject their null hypothesis. Give your answer to the nearest 0.1 mm. The researchers will reject their null hypothesis if the sample mean is terms of use contact us help. gbout us. careers, privacy policy 10:02 AM 12/5/2020 |曲 目 23 2) hp prt sc 112 insert f9 f8
Transcribed Image Text:uestion 9 of 20 Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean of 2.4 mm and a standard deviation of 11.4 mm. Researchers suspect that in recent years, the mean amount of daily precipitation has changed, so they plan to obtain data for a random sample of 195 days over the past five years and use this data to conduct a one-sample z-test q Ho: u = 2.4 mm against H;+ 2.4 mm, where u is the mean daily precipitation for the last five years. Although they realize that rainfall does not follow a normal distribution, they feel safe using a z-test because the sample size is large. The researchers want to know what the power of this test is to reject the null hypothesis at significance level a = 0.05 if the actual mean daily precipitation is 2.6 mm or more. Computing power by hand requires two steps. The first step is to use a significance level of 0.05 to determine the values of the sample mean for which they will reject their null hypothesis. Give your answer to the nearest 0.1 mm. The researchers will reject their null hypothesis if the sample mean is terms of use contact us help. gbout us. careers, privacy policy 10:02 AM 12/5/2020 |曲 目 23 2) hp prt sc 112 insert f9 f8
less than mm or greater than mm In the second step, find the power of the test by first assuming that the the actual mean is 2.6 mm. Then, compute the probability of getting a sample mean in the rejection region found in the first step. Leave the boundaries of the critical region rounded to one decimal place in your calculation, and give your answer as a percentage rounded to two decimal places. Power= careere envacy policy రాత కఉ ose o ది?ఓఆత+ ఎక heip about us 10:03 AM 12/5/2020 ギメ hp f12 prt sc insert f1o 9 144 f8 17 6)
Transcribed Image Text:less than mm or greater than mm In the second step, find the power of the test by first assuming that the the actual mean is 2.6 mm. Then, compute the probability of getting a sample mean in the rejection region found in the first step. Leave the boundaries of the critical region rounded to one decimal place in your calculation, and give your answer as a percentage rounded to two decimal places. Power= careere envacy policy రాత కఉ ose o ది?ఓఆత+ ఎక heip about us 10:03 AM 12/5/2020 ギメ hp f12 prt sc insert f1o 9 144 f8 17 6)
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