6. Suppose that, on average, electricians earn approximately = 54,000 dollars pe

Question

6. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. Given a sample of four electricians, what is the standard deviation for the sampling distribution of the sample mean? (10 points)

7. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. What is the probability that the average salary of four randomly selected electricians exceeds $60,000? (10 points)

Need both to have work shown 6. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. Given a sample of four electricians, what is the standard deviation for the sampling distribution of the sample mean? (10 points)

7. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. What is the probability that the average salary of four randomly selected electricians exceeds $60,000? (10 points)

Need both to have work shown 6. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. Given a sample of four electricians, what is the standard deviation for the sampling distribution of the sample mean? (10 points)

7. Suppose that, on average, electricians earn approximately = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is = 12,000 dollars. What is the probability that the average salary of four randomly selected electricians exceeds $60,000? (10 points)

Need both to have work shown

Explanation / Answer

standard deviation for the sampling distribution of the sample mean =std deviation of population/(n)1/2 =6000

7)probability that the average salary of four randomly selected electricians exceeds $60,000

=P(X>60000)=1-P(X<60000)=1-P(Z<(60000-54000)/60000=1-P(Z<1)=1-0.8413 =0.1587

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