Note: Please solve within 35 minutes. The proper explanation is a must. Saide scored 85 on a Bilogy test had a mean of 77 and a standard deviation of 5, and she scored 72 on a physics test that had a mean of 65 and a standard deiviation of 3. Suppose both distriburions are normal. a. Mich also took the same physics test and his score was higher that 31% of the class. What was Mitchs score? b. What is the probability that a random sample of 4 students would have a mean score on the psychics test above 63? (Please show work)

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Note: Please solve within 35 minutes. The proper explanation is a must.

Saide scored 85 on a Bilogy test had a mean of 77 and a standard deviation of 5, and she scored 72 on a physics test that had a mean of 65 and a standard deiviation of 3. Suppose both distriburions are normal.

a. Mich also took the same physics test and his score was higher that 31% of the class. What was Mitchs score?

b. What is the probability that a random sample of 4 students would have a mean score on the psychics test above 63?
(Please show work)

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