a. A sample of 20 production workers in a company earned the following net pay amounts after all…

a. A sample of 20 production workers in a company earned the following net pay amounts after all deductions for a given week, rounded to the nearest dollar and arranged in ascending order: $290, 340, 280, 240, 240, 255, 240, 240, 240, 255, 265, 265, 280, 240, 240,

300, 305, 325, 330,and 240. Calculate the;

i. Mean wage, (2 marks) ii.Median wage, and (2 marks) iii.mode. (1 mark)

b. The table below shows the values of household spending (in billions of dollars) during a 5year period.

Year	1999	2000	2001	2002	2003
Household spending	686.9	697.2	723.7	716.6	734.5

Calculate the index numbers when 2000 is taken as the base year and give a brief

interpretation. (5 marks)

c. In Nyeri County, 51% of the adults are males. One adult is randomly selected for a survey involving credit card usage.

i. Find the prior probability that the selected person is a male. (1 mark)

ii. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars (based on data from the Substance Abuse and Mental Health Services Administration). Use this additional information to find the probability that the selected subject is a male. (5 marks)

d. Distinguish between Value index and Paasche price index. (4 marks)