A clothing manufacturer traditionally makes sweatshirts from three different fabrics, A,
B and C. Over the years the percentages sold of each fabric are 50, 35, and 15,
respectively. Recently, the manufacturer began producing running suits from the same
three fabrics. During the first three months of production, the company received orders
for 6,500 suits made from fabric A, 3,400 from fabric B, and 2,700 from fabric C.
What would be the expected number of running suits made of fabric B sold during the
first three months based on past years’ sales results of sweatshirts?
a. 3,500
b. 1,190
c. 4,410
d. 4,500
e. none of the above
A researcher is interested in comparing the usage of bank debit cards by consumers in
rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500
individuals (one’‘half urban, one’‘half rural) randomly selected from across the United
States. She is specifically interested in any differences that may exist between the two
groups with regard to usage. The results of the current study indicate that people in
urban areas use bank debit cards 12 times per month on average (xu), while those in
rural areas use bank cards 10 times per month on average (xr).
Assuming that the standard error of estimate for the difference in means is 1.5, calculate
the value of the test statistic that would be used in the comparison of the two means.
a. 0.75
b. 1.33
c. 1.88
d. 1.96
e. none of the above