CalculatorHomework#6-TheCentral LimitTheorem

Exercise 1

Thepopulationmeanannualsalaryforenvironmentalcompliancespecialistsisabout$63,500.A random sample of 35 specialists is drawn from this population.What is the probability thatthemeansalaryofthe sampleislessthan$60,000?Assume =$6100.

Exercise 2

DuringacertainweekthemeanpriceofgasolineintheNewEnglandregionwas$2.714pergallon.A random sample of 32 gas stations is drawn from this population.What is theprobability that the mean price for the sample was between $2.695 and $2.725 that week?Assume=$0.045.

Exercise 3

The mean height of women in the United States (ages 20 - 29) is 64.3 inches.A random sampleof 60 women in this age group is selected. What is the probability that the mean height for thesample isgreaterthan66 inches?Assume=2.6inches.

Exercise 4

An education finance corporation claims that the average credit card debts carried byundergraduatesarenormallydistributed,withameanof$3173andastandarddeviationof

$1120.

1. What is the probability that a randomly selected undergraduate, who is a credit card holder, hasa creditcardbalancelessthan$2700?

1. You randomly select 25 undergraduates who are credit card holders.What is the probabilitythattheirmean credit cardbalanceis lessthan$2700?