What is the area between the mean and 395 pounds

Reference no: EM132717767

Statistical Analysis

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home page for specific 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 for the first was $75 and it was $100 for the second. Compute z values for each 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.

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. 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 four (4) double-spaced pages; refer to the "Assignment Format" page located on the Course Home page for specific format requirements.
a. Use the numbers shown in the bar graph below to fmd the total cost of tuition and fees at public colleges for a four year period from the school year ending in 2007 through the school year ending in 2010.
b. The model an = 395,, + 5419 describes the cost of tuition and fees at public colleges in academic year n, where n = 1 corresponds to the school year ending in 2007, n = 2 to the school year ending in 2008, and so on.
1) Use this model and the formula for S,, to fmd the total cost of tuition and fees at public colleges for a four-year period from the school year ending in 2007 through the school year ending in 2010.
2) How does this compare with the actual sum you obtained in part (a)?

Reference no: EM132717767

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