A researcher is interested in knowing the mean hourly wages of all part-time workers in City ABC. Suppose the hourly wages of a random sample of 64 part-time workers selected from City ABC has a mean of $55. Assume the population standard deviation is $4. (i) Find a 89% confidence interval for the true mean hourly wages of all the part-time workers in City ABC. Correct your answers to 1 decimal place. (ii) Find the sample size required to produce a 94.4% confidence interval for the true mean hourly wages of all the part-time workers in City ABC with a margin of error of $0.5.

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A researcher is interested in knowing the mean hourly wages of all part-time workers in
City ABC. Suppose the hourly wages of a random sample of 64 part-time workers
selected from City ABC has a mean of $55. Assume the population standard deviation is $4.
(i) Find a 89% confidence interval for the true mean hourly wages of all the part-time
workers in City ABC. Correct your answers to 1 decimal place.
(ii) Find the sample size required to produce a 94.4% confidence interval for the true
mean hourly wages of all the part-time workers in City ABC with a margin of error
of $0.5.
Transcribed Image Text:A researcher is interested in knowing the mean hourly wages of all part-time workers in City ABC. Suppose the hourly wages of a random sample of 64 part-time workers selected from City ABC has a mean of $55. Assume the population standard deviation is $4. (i) Find a 89% confidence interval for the true mean hourly wages of all the part-time workers in City ABC. Correct your answers to 1 decimal place. (ii) Find the sample size required to produce a 94.4% confidence interval for the true mean hourly wages of all the part-time workers in City ABC with a margin of error of $0.5.
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