Project #14250 - Statistics

The average stock price for companies making up the S&P 500 is $20 and the standard deviation is unknown. Assume the stock prices are normally distributed.

- If 23% of the stock prices are more than $42.25, what is the variance?  (Remember the label.)
 

Americans have become increasingly concerned about the rising cost of Medicare. In 1990, the average annual Medicare spending per enrollee was $3267; in 2003, the average annual Medicare spending per enrollee was $6334 (Money, Fall 2003). Suppose you hired a consulting firm to take a sample of 45 Medicare enrolless from 2003 to further investigate the nature of expenditure. Assume the population standard deviation for 2003 was $1860. 

- What is the probability the sample average Medicare spending is at least $5807?

 

 

30% of adults ages 18-24 drink more than one cup of coffee per day.

- If 215 adults ages 18-24 are randomly selected, what is the probability that between 54 and 75 of them drink more than one cup of coffee per day?

 

The average score of a male golfer is 95 strokes and the average score for female golfers is 114 strokes. Use these values as the population means for men and women and assume that the population standard deviation is 14 strokes for both. A simple random sample of 28 male golfers and another simple random sample of 50 female golfers will be taken. Assume golf scores are normally distributed. 

- 7% of time, the sample average score for female golfers should be less than what?  (Remember the label.) 

 

 

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 90 minutes and a standard deviation of 10 minutes. Let exam completion time, in minutes, be represented by the random variable X.

- P(85 < X < x1) = 0.143.  Find x1.  (Remember the label.)

 

The Cincinnati Enquirer reported that, in the United States, 65% of adults and 83% of youths age 12 to 17 use the Internet. Use the reported numbers as the population proportions and assume that samples of 280 adults and 280 youths will be used to learn about attitudes toward Internet security.

- Find the probability that at most 86% of the sampled youths use the Internet.

Subject Mathematics
Due By (Pacific Time) 10/09/2013 11:00 pm
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