A survey reported that the mean starting salary for college graduates after a th

Question

A survey reported that the mean starting salary for college graduates after a three-year program was $35,840.Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3050. What percentage of the graduates have starting salaries: (Round z-score computation to 2 decimal places and the final answers to 4 decimal places.)

Between $32,100 and $38,300?

  

More than $44,200?

  

Between $38,300 and $44,200?

A survey reported that the mean starting salary for college graduates after a three-year program was $35,840.Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3050. What percentage of the graduates have starting salaries: (Round z-score computation to 2 decimal places and the final answers to 4 decimal places.)

a.

Between $32,100 and $38,300?

  Probability   

  

b.

More than $44,200?

  Probability   

  

c.

Between $38,300 and $44,200?

  Probability   

Explanation / Answer

SolutionA:

mean=35,840.

sd=3050

P(32100<X<38300)

P(32100-35840/3050<Z<38300-35840/3050)

P(-1.23<z<0.81)

p(z<0.81)-p(Z<-1.23)

pnorm(0.81)-pnorm(-1.23)

=0.6816814

answer:0.6817

Solutionb:

P(x>44200)

z=x-mean/sd

=44200-35840/30350

z=0.28

p(z>0.28)

rcode is

pnorm(-0.28)

0.3897388

ANSWER:

0.3897

Solutionc:

P(38300<X<44200)

P(38300-35840/3050<Z<44200-35840/3050

P(0.81<z<2.74)

P(Z<2.74)-P(Z<0.81)

pnorm(2.74)-pnorm(0.81)

0.2058981

answer:0.2059

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