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In: Statistics and Probability

A simple random sample with n=54 provided a sample mean of 22.5 and a sample standard...

A simple random sample with n=54 provided a sample mean of 22.5 and a sample standard deviation of 4.2.

a. Develop a 90% confidence interval for the population mean (to 1 decimal).

( ______ , ______ )

b. Develop a 95% confidence interval for the population mean (to 1 decimal).

( ______ , _______ )

c. Develop a 99% confidence interval for the population mean (to 1 decimal).

( ______ , _______ )

  ,  

d. What happens to the margin of error and the confidence interval as the confidence level is increased?

- Select your answer -They increase, They decrease, They stay the same, It cannot be determined from the given data, The margin of error increases and the confidence interval becomes narrower, The margin of error decreases and the confidence interval becomes wider.

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