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I need to know the answer and how to input it into excel or megastat please Ques

ID: 3310099 • Letter: I

Question

I need to know the answer and how to input it into excel or megastat please

Question

Wages have a mean of $22.91 and standard diviation of $2.83 per hour. Assume that wages are normally distributed (pretty close). What must your hourly wage be if you want to earn:

a. More than 25% (approximately) of all employees?

b. the 99th percentile (approximately) of all employees?

c. If picked at random, what is the probability that the employee will earn between $17.25 and $28.57?

d. if picked at random, what is probability that the employee will earn between $20.08 and $31.40

Explanation / Answer

a) for 25th percentile : from excel hourly wage =norm.inv(0.25,22.91,2.83)=21.00

b) for 99th percentile : from excel hourly wage =norm.inv(0.99,22.91,2.83)=29.49

c)P(17.25<X<28.57)==NORM.DIST(28.57,22.91,2.83,TRUE)-=NORM.DIST(17.25,22.91,2.83,TRUE)=0.9545

d) P(20.08<X<31.40)==NORM.DIST(31.40,22.91,2.83,TRUE)-=NORM.DIST(20.08,22.91,2.83,TRUE)=0.8400

please revert if any help is required