A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage μ for foodservice workers in the U.S. Last year's mean hourly wage was $8.16, and there is reason to believe that this year's value is less than last year's.The union decides to do a statistical test to see if it can be concluded that the mean has decreased. The union chooses a random sample of 125 wages from this year. Suppose that the population of hourly wages of foodservice workers in the U.S. has a standard deviation of $1.25 and that the union performs its hypothesis test using the 0.05 level of significance.- Hi, on a pervious question that I submitted for help I was told that there is a limit to the number of subsection questions that you guys are allowed to answer and according to the response it was a max of 3. IF this is so, could you please then answer subquestions #1 #3 & #4. I am fairly positive that the answer to subquestion #2 is 0.05. Thank you H :µ isWhat are the null and alternative hypotheses that theunion should use for the test?H :H isWhat is the probability that the union rejects the nullhypothesis when, in fact, it is true? Round your response |||to at least two decimal places.Assuming that the actual value of u is $7.89, what is theprobability that the union rejects the null hypothesis?Round your response to at least two decimal places.The probability of committing a Type II error in the secondtest is greaterSuppose that the union decides to perform anotherstatistical test using the same population, the same nulland alternative hypotheses, and the same sample size,but for this second test the union uses a significancelevel of 0.01 instead of a significance level of 0.05.Assuming that the actual value of u is $7.89, how doesthe probability that the union commits a Type II error inthis second test compare to the probability that theunion commits a Type II error in the original test?The probability of committing a Type II error in the secondtest is lessThe probabilities of committing a Type II error are equal

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Description: A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage μ for foodservice workers in the U.S. Last year's mean hourly wage was $8.16, and there is reason to believe that this year's value is less than last ye

Answered: H :µ is What are the null and…

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A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage

for foodservice workers in the U.S. Last year's mean hourly wage was

$8.16

, and there is reason to believe that this year's value is less than last year's.

The union decides to do a statistical test to see if it can be concluded that the mean has decreased. The union chooses a random sample of

125

wages from this year.

Suppose that the population of hourly wages of foodservice workers in the U.S. has a standard deviation of

$1.25

and that the union performs its hypothesis test using the

0.05

level of significance.

- Hi, on a pervious question that I submitted for help I was told that there is a limit to the number of subsection questions that you guys are allowed to answer and according to the response it was a max of 3. IF this is so, could you please then answer subquestions #1 #3 & #4. I am fairly positive that the answer to subquestion #2 is 0.05. Thank you

H :µ is
What are the null and alternative hypotheses that the
union should use for the test?
H :H is
What is the probability that the union rejects the null
hypothesis when, in fact, it is true? Round your response |||
to at least two decimal places.
Assuming that the actual value of u is $7.89, what is the
probability that the union rejects the null hypothesis?
Round your response to at least two decimal places.
The probability of committing a Type II error in the second
test is greater
Suppose that the union decides to perform another
statistical test using the same population, the same null
and alternative hypotheses, and the same sample size,
but for this second test the union uses a significance
level of 0.01 instead of a significance level of 0.05.
Assuming that the actual value of u is $7.89, how does
the probability that the union commits a Type II error in
this second test compare to the probability that the
union commits a Type II error in the original test?
The probability of committing a Type II error in the second
test is less
The probabilities of committing a Type II error are equal

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