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In the last quarter of 2007, a group of 64 mutual funds had a mean return of 3.1% with a standard deviation of 6.2%. If

In the last quarter of 2007, a group of 64 mutual funds had a mean return of

3.1% with a standard deviation of 6.2%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first.

a) Returns of

9.3%

or more

b) Returns of

3.1%

or less

c) Returns between

15.5%

and

21.7%

d) Returns of

more

than

15.5%

The quarterly returns for a group of 76 mutual funds with a mean of 3.5%

and a standard deviation of 4.5% can be modeled by a Normal model. From these funds, find the cutoff return value(s) that would separate the

b) lowest

30%.

c) middle

80%.

d) highest

70%.

select the correct choice and fill in any answer box for each. round to two decimal places

A. x > --%

B. --% < X < --%

C. X < 00%

Manufacturing and selling drugs that claim to reduce an individual's cholesterol level is big business. A company would like to market their drug to women if their cholesterol is in the top 15%. Assume the cholesterol levels of female adults can be described by a Normal model with a mean of 184 mg/dL and a standard deviation of 26.

c) What percent of adult women do you expect to have cholesterol levels between

150 and 180 mg/dL? Round to two decimal places.

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