Question

1.Valerie and Meredith began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Valerie took a test in English and earned a 74.2, and Meredith took a test in Science and earned a 64.7. Use the fact that all the students' test grades in the English class had a mean of 72.7 and a standard deviation of 11.4, and all the students' test grades in Science had a mean of 64.4 and a standard deviation of 10.3 to answer the following questions.

a) Calculate the z-score for Valerie's test grade.

b) Calculate the z-score for Meredith's test grade

2.A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard deviation of 17 grams.

The heaviest 9% of fruits weigh more than how many grams?

Give your answer to the nearest gram.

3.A particular fruit's weights are normally distributed, with a mean of 308 grams and a standard deviation of 8 grams.

If you pick one fruit at random, what is the probability that it will weigh between 280 grams and 302 grams

Answer 1

The solution to this problem is given by