4 24 pts 4 each The hourly wage for the national population of health aides...

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4 24 pts 4 each The hourly wage for the national population of health aides denoted by X is known be normally distributed and to have a mean of 30 00 and a standard deviation of 6 00 A statistician plans to take a random sample of 16 health aides at some point in the future in an effort to study these salaries a Why can you assume the probability curve of Xbar is Normal b What are the mean and standard deviation of Xbar c If you took a larger sample would the standard deviation of Xbar increase decrease or remain the same d Compute the Zscore corresponding to a sample mean of 25 50 e What is the R code needed to compute the probability that the sample mean is less than 25 50 using the Zscore you computed Rcode PNorm f If you took a sample of health aides that was larger than 16 would the probability that the sample mean is less than 25 50 remain the same increase or decrease WHY No calculations needed

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4 24 pts 4 each The hourly wage for the national population of health aides denoted by X is known be normally distributed and to have a mean of 30 00 and a standard deviation of 6 00 A statistician plans to take a random sample of 16 health aides at some point in the future in an effort to study these salaries a Why can you assume the probability curve of Xbar is Normal b What are the mean and standard deviation of Xbar c If you took a larger sample would the standard deviation of Xbar increase decrease or remain the same d Compute the Zscore corresponding to a sample mean of 25 50 e What is the R code needed to compute the probability that the sample mean is less than 25 50 using the Zscore you computed Rcode PNorm f If you took a sample of health aides that was larger than 16 would the probability that the sample mean is less than 25 50 remain the same increase or decrease WHY No calculations needed