1. Professor Ivy gives a test and finds that her students score an average of 74 with a standard deviation of 8 points.

Assuming a Normal Distribution of scores, 95% of her students would score between what two values?

ii. If a given data set is normally distributed with a mean of 13 and a standard deviation of 4, what is the z-score that corresponds to a value of 14?(Express your answer as a decimal rounded correctly to the hundredths place

iii. Professor Ivy's students have a mean grade of 69.5 and a standard deviation of 6.5.

If Johnny has a grade of 82 in the class, what would be the z-score for Johnny's grade?

(Express your answer as a decimal rounded correctly to the hundredths place.)

Using the z-table, approximate the percentile into which Johnny's grade places him.

(Express your answer rounded correctly to the nearest whole percentile.)

iv The average woman's height is 65 inches with a standard deviation of 3.5 inches.

a.) Determine the z-score of a woman who is 70 inches tall. Round to the nearest tenth.

b.) Use a z-score table to determine how many women out of 10,000 would be taller than the 70 inch tall woman