SOLUTION: 10.) The average cost of XYZ brand running shoes is $83 per pair, with a standard deviation of $8. If nine pairs of running shoes are selected, find the probability that the mean c

Question 187884This question is from textbook Elementary statistics
: 10.) The average cost of XYZ brand running shoes is $83 per pair, with a standard deviation of $8. If nine pairs of running shoes are selected, find the probability that the mean cost of a pair of shoes will be less than $80. Assume the variable is normally distributed.
Thanks! This question is from textbook Elementary statistics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average cost of XYZ brand running shoes is $83 per pair, with a standard deviation of $8. If nine pairs of running shoes are selected, find the probability that the mean cost of a pair of shoes will be less than $80. Assume the variable is normally distributed.
--------------------------------------------
z(80) = (80-83)/8 = -0.3750
------------------------------------
P(x < 80) = P(z < -0.3750) = 0.3538...
Cheers,
Stan H.

RELATED QUESTIONS
Hello, I do not wish for you to work the problem unless I did it wrong. I'm simply... (answered by rothauserc)

A company that manufactures running showes has a fixed cost of $300.000. Additionally,... (answered by solver91311)

It costs a shoe company $20.67 to produce one pair of running shoes. The company sells... (answered by rfer)

a pair of running shoes cost less than $37 twice the cost of a pair of basketball shoes.... (answered by mananth)

A company sells running shoes to dealers at a rate of $30 per pair if fewer than 65 pairs (answered by MathTherapy)

A company sells running shoes to dealers at a rate of $40 per pair if fewer than 65 pairs (answered by MathTherapy)

The price of one brand of athletic shoes is $5 more than another brand. If the prices of (answered by rfer)

Amy paid $70.58 for a pair of running shoes during a 35% off sale. What was the original... (answered by dolly)