Statistics Questions

Question Description

(1) Find the z score 0.4744______________ 0.4744

(2) The weight of the bags of carrots are normally distributed with a mean of 34 ounces and a standard deviation of 3.5 ounces. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged.

(3) In a large section of a statistics class the points for the final exam are normally distributed with a mean of 76 and a standard deviation of 9. Grades are assigned such that the top 10% receive A’s, the next 20% received B’s, the middle 40% receive C’s, the next 20% receive D’s and the bottom 10% receive F’s. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.

(4) The population mean and standard deviation are given below. Find the required probability and determine whether the sample mean will be considered unusual, why or why not. For a sample of N=75, the probability of a sample mean being greater than 212 if mean = 211 and standard deviation = 3.7. Would the given sample be considered unusual?

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