I need some assistance with the following problem set from my graduates level statistics course. Please see the following questions below. I have attached the document as well.

1. The following sample data represent the number of repairs performed at a television repair service per month over a 32-month period:

                     29      58      87        38        43      31

                     12      73      54        90        47      61

                     83      23      71        42        22      

                     95      63      86        15        67

                     28      91      77        48        59

                     35      45      16        30        49

a.  Construct a data array with all the data in rank order, from low to high.

b.  Construct a frequency table with nine classes. Start with 10 as the lower bound of the first class, and use the same class width of 10 units for all classes. Identify midpoints and upper and lower boundaries.

c.   Construct a corresponding absolute non-cumulative histogram.

d.  Compute the mean, median, mode, and mid-range from the frequency table (grouped data).

e.  Compute the variance, standard deviation, and coefficient of variation from the frequency table (grouped data).

 

2. A committee of 8 men and 12 women selected from a larger population of 200 people must form a subcommittee from it consisting of 3 men and 4 women. How many different subcommittees are possible?

 

3. A small company repairs home computers. In the past 200 days, it has been quite busy, taking in and repairing 2 computers on 52 of those days; 3 computers on 84 of those days; 4 computers on 40 of those days; and 5 computers on 24 of those days. Build a probability distribution for the number of computers repaired on any given day, show it is a valid distribution, and calculate its mean and variance. 

 

4. What is the likelihood that, if 16 students are drawn from random for a graduate class in statistics from a student body population known to have 35 percent international students, exactly 8 are international students?

 

5. With a student body of 35000 students, UC Davis has a healthy sports and athletics program. Of the 22000 men on campus, 3300 participate in sports teams, while 1300 women participate as well. Does it seem UC Davis is putting as much effort into attracting women to sports as it is men? Form the joint probability table, calculate the appropriate conditional probabilities, and comment on results.

 

6. Adult males have an average height of 69 inches, with a standard deviation of 3 inches, and follow a normal distribution. What is the likelihood that a single randomly selected man:

                 (a) Is taller than 75 inches? 

                 (b) Is between 60 and 70 inches?

                 (c) Is shorter than 72 inches? There is 3 Standard Deviations below 72 inches.

 

7. A particular entrance exam's scores are normally distributed with a mean of 600 and a variance of 22,500. 

           (a) If a particular university requires a minimum score of 800, what percent of those high school students taking the entrance exam will be eligible for acceptance? 

           (b) If the school wants to decrease enrollment until only the top five percent are eligible, what minimum score should it use? 

           (c) What is the interquartile range for the entrance exam scores?

 

8. What is the likelihood that, if 250 parts are drawn from random from a fabrication line known to have 10 percent defects, more than 23 are defective?

• 1502731361-MNS 601 Problem Set.docx

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