1. The economic policy institute reports that the average entry-level wage for m

Question

1. The economic policy institute reports that the average entry-level wage for male college graduates is $21.06 per hour and for female college graduates is $19.52 per hour. The Standard deviation for male graduates is $3.7 and for female graduates is $2.62. Assume wages are normally distributed.

If 53 male graduates are chosen, find the probability the sample average entry level wage is at least $20.16.

2.) 25% of consumers read the ingredients listed on a product's label.

For a sample of 220 consumers, what is the probability that between 44 and 68 of them read the ingredients listed on a products label?

Explanation / Answer

1.

We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as          
          
x = critical value =    20.16      
u = mean =    21.06      
n = sample size =    53      
s = standard deviation =    3.7      
          
Thus,          
          
z = (x - u) * sqrt(n) / s =    -1.770837541      
          
Thus, using a table/technology, the right tailed area of this is          
          
P(z >   -1.770837541   ) =    0.961706139 [ANSWER]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.