Question

1) A nutritionist claims that the proportion of females who consume too much saturated fat is lower than the proportion of males who consume too much saturated fat. In interviews with 513 randomly selected females, she determines that 300 consume too much saturated fat. In interviews with 564 randomly selected males, she determines that 391 consume too much saturated fat.

Do the data support the claim that the proportion of females who consume too much saturated fat is less than the proportion of males who consume too much saturated fat? Use α = 0.05 and the 4-step process.

2)

The developer of a new filter for filter-tipped cigarettes claims that it leaves less nicotine in the smoke than does the current filter. Because cigarette brands differ in a number of ways, he tests each filter on one cigarette of each of nine randomly selected brands and records the difference in nicotine content. His results are given in the table below.

Brand	A	B	C	D	E	F	G	H	J
Old Filter nicotine, mg	0.7	0.8	0.8	0.9	0.9	1.0	1.2	1.2	1.8
New Filter nicotine, mg	0.6	0.6	0.7	0.8	0.7	1.0	0.8	0.9	1.5

Does the data give convincing evidence that the filter tips leave less nicotine in the smoke? Follow the 4-step process.

old=c(.7, .8, .8, .9, .9, 1, 1.2, 1.2, 1.8)

new=c(.6, .6, .7, .8, .7, 1, .8, .9, 1.5)

3)

An investor with a stock portfolio worth several hundred thousand dollars sued his broker and brokerage firm because lack of diversification in his portfolio led to poor performance. The following data lists the rates of return, in percent, for a random sample of 39 months that the account was managed by the broker. The arbitration panel compared these returns with the average S&P 500 for the same period.

stock=c(-8.36, 1.63, -2.27, -2.93, -2.70, -2.93, -9.14, -2.64, 6.82, -2.35, -3.58, 6.13, 7.00, -15.25, -8.66, -1.03, -9.16, -1.25, -1.22, -10.27, -5.11, -0.80, -1.44, 1.28, -0.65, 4.34, 12.22, -7.21, -0.09, 7.34, 5.04, -7.24, -2.14, -1.01, -1.41, 12.03, -2.56, 4.33, 2.35)

Does the data show that the mean return is different from 0.95%, the average return for the S&P 500. Use α = 0.01 and the 4-step process.

4) A random sample of 328 medical doctors showed that 171 had a solo practice. Find and interpret a 95% confidence interval for the proportion of all doctors who have a solo practice. Follow the 4-step process.

5)

You are conduction a t-test for the mean using a sample of 9 observations. Do the following graphs indicate that it is safe to conclude the sample data is normal? Explain.

answer all please. thank you.

Answer 1

Let p1: Proportion of female consume too much saturated fat

p2: proportion of male consume too much saturated fat

Thus it may conclude that the proportion of female consume too much saturated fat is less than that of male proportion.

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