Assume that a sample is used to estimate a population mean . Find the margin of error M.E. that corresponds to a sample of size 20 with a mean of 37.5 and a standard deviation of 8.1 at a confidence level of 95%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. =

Average work for some employees is 98 hours per year. Use a random sample of 18 employees. The standard deviation is 5.6 hours. Check the claimthat it’s less than 100. Check the validity of this claim using 99% accuracy. Assume the variableis normally distributed. Round your final answers to the nearest 2 decimal places. Can you show your work on a dist. graph? Thank you!

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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used.  0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean.  0.5 point for finding the correct probability.   All work must be shown in order to receive any credit.  Please upload your completed assignment here.    The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.