ASSIGNMENT 07 MA260 Statistical Analysis I

ASSIGNMENT
07 MA260 Statistical Analysis I Directions: Be sure to make an
electronic copy of your answer before submitting it to Ashworth College .
Unless otherwise stated, answer in complete sentences, and be sure to
use correct English spelling and grammar. Sources must be cited in APA
format. Your response should be a minimum of one (1) single-spaced page
to a maximum of two (2) pages in length; refer to the “Assignment
Format” page format requirements. NOTE: Show your work in the problems.1.
A recent article in the Myrtle Beach Sun Times reported that the mean
labor cost to repair a color television is $90 with a standard deviation
of $22. Monte’s TV Sales and Service completed repairs on two sets this
morning. The labor cost first was $75 and it was $100 second. Compute z
values and comment on your findings.2.
The mean of a normal distribution is 400 pounds. The standard deviation
is 10 pounds. a. What is the area between 415 pounds and the mean? b.
What is the area between the mean and 395 pounds? c. What is the
probability of selecting a value at random and discovering that it has a
value of less than 395 pounds?3.
The monthly sales of mufflers in the Richmond, VA area follow the
normal distribution with a mean of 1200 and a standard deviation of 225.
The manufacturer would like to establish inventory levels such that
there is only a 5% chance of running out of stock. Where should the
manufacturer set the inventory levels?4.
Research on new juvenile delinquents revealed that 38% of them
committed another crime. a. What is the probability that of the last 100
new juvenile delinquents put on probation, 30 or more will commit
another crime? b. What is the probability that 40 or fewer of the
delinquents will commit another crime? c. What is the probability that
between 30 and 40 of the delinquents will commit another crime?5.
An Air Force study indicates that the probability of a disaster such as
the January 28, 1986 explosion of the space shuttle Challenger was 1 in
35. The Challenger flight was the 25th mission. a. How many disasters
would you expect in the first 25 flights? b. Use the normal
approximation to estimate the probability of at least one disaster in 25
missions