The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players on the East Coast and records their annual salaries. The mean salary for the players in the sample is $ with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P 0.02. What is the correct interpretation of the P-value? Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean by chance alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean extreme as $3.9 million by chance alone. OAssuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of S one more extreme will occur by chance alone.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes that the
mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players from teams
on the East Coast and records their annual salaries. The mean salary for the players in the sample is $3.9 million
with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P-value of
0.02. What is the correct interpretation of the P-value?
Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance
alone.
Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million
by chance alone.
Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as
extreme as $3.9 million by chance alone.
Assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or
one more extreme will occur by chance alone.
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Transcribed Image Text:The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes that the mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players from teams on the East Coast and records their annual salaries. The mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P-value of 0.02. What is the correct interpretation of the P-value? Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone. Assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone. Next Submit Save and Exit Mark this and return
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