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1.Twenty-four percent of executives say that older workers have blocked their ca

ID: 2958181 • Letter: 1

Question

1.Twenty-four percent of executives say that older workers have blocked their career advancement. You randomly select 12 executives and ask if they feel that older workers have blocked their career advancement. Find the probability that the number who say older workers have blocked there career advancement is exactly four.

2) 1.The weights of adult male beagles are normally distributed with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is selected at random. Find the probability the beagle’s weight is between 23 pounds and 27 pounds.

3) A company uses an automated paint sprayer to apply paint to metal furniture. The company sets the sprayer to apply the paint one-mil (1/1000 of an inch) thick. The company wants to estimate the mean thickness the sprayer is applying the paint to within 0.0425 mil. Determine the minimum sample size required to construct a 90% confidence interval for the population mean given the tolerance error of 0.02125.

4) 1.Sam Spade is running for congress. He asks his campaign manager to find out where he stands with regard to his chances of winning the election. His campaign manager takes a sample of 1000 voters and finds that 550 are likely to vote for Sam. Construct a 95% confidence interval for the proportion of all likely voters who would prefer Sam. If Sam wants to make sure the interval is no wider that +/- .05 what should the size of the sample be?

Explanation / Answer

1.
(12 C 4) * (0.24)^4 * (0.76)^8

2.
( (23-25) / 3) - ((27-25)/3) = 2*0.2523860 = 0.50476