Assignment: For Module 1, the student group must solve the following five (5) questions. Remember to divide work equally within the group (each member should complete exactly one problem) and to show all work.
Question 1: A department store manager is interested in the number of complaints received by the customer service department about the quality of electrical products sold by the store. Records over a 5-week period show the following number of complaints received each week:
13 15 8 16 8
a. Compute the mean number of weekly complaints.
b. Calculate the median number of weekly complaints.
c. Find the mode
Question 2: The demand for bottled water increases during the hurricane season in Florida. A random sample of 7 hours showed that the following numbers of 1-gallon bottles were sold in one store:
40 55 62 43 50 60 65
a. Describe the central tendency of the data.
b. Comment on the symmetry or skewness.
Question 3: Compute the variance and standard deviation of the following sample data:
6 8 7 10 3 5 9 8
Question 4: The following is a random sample of five (x, y) pairs of data points:
(12, 200) (30, 600) (15, 270) (24, 500) (14, 210)
a. Compute the covariance.
b. Compute the correlation coefficient.
Question 5: A major airport recently hired consultant John Cadariu to study the problem of air traffic delays. He recorded the number of minutes planes were late for a sample of flights in the following table:
|
Minutes late
|
0 < 10
|
10 < 20
|
20 < 30
|
30 < 40
|
40 < 50
|
50 < 60
|
|
Number of flights
|
30
|
25
|
13
|
6
|
5
|
4
|
a. Calculate the mean number of minutes late.
b. Compute the sample variance and standard deviation.