average salary for a certain peolssion is $90,000 Assume that the standard devia

Question

average salary for a certain peolssion is $90,000 Assume that the standard deviation of uch salris in $3,000 Conaider a rando Click the loon to view the table of nomal curve areas s in $30,000 Conider a random sample of 77 people in tPis profession and let reresent the mean a. What is b. What is o 4°(Round to two decihai places as needed ) e Desoribe the shape of the sampling distribution of O A. The shape is that of a poisson distibution OC The shape is that of auntum non Find P (i 1,000) Click to select your answers

Explanation / Answer

Solution1a:

n=77

large sample

follow normal distribution

Mux=90,000

samplemena=pop mean

as sample follows normal distribution

Solutionb:

std dev=population stddev/sqrt(sample size)

=38000/sqrt(77)

=4330.502

=4330.50

ANSWER:4330.50

Solution1c:

shape is that of normal distribution

as n>30

Solution1d:

z=sample mean-population mean/population std dev/sqrt(n)

=81000-90000/4330.50

=-9000/4330.50

=-2.08

ANSWER:-2.08

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