Question

A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more but it seems that experience would also play a role. Two samples were taken.

Ages 18-21 Sheets/Week	Ages 25-28 (Sheets/Week)
88	104
104	116
96	96
88	104
112	108
108	108
84	116
120	112
92	120
116	108

a) What are the two populations being studied in this problem?

b) Define the population parameters u1 & u2 .

c) Set up the null and alternative hypotheses and run the test to see to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age. Use a=.05

d) State your conclusion in the contest of the problem.

Answer 1

a) Age group 18-21 person's in construction company is the 1st population
Age group 25-28 person's in construction company is the 2nd population

b) Mu1 is the Mean age group 18-21 person's

Mu2 is the mean age groups 25-28 person's

c) H0: There is no difference int eh average number of sheets of dry wall that a person can install per week based on age

H1: There is difference int eh average number of sheets of dry wall that a person can install per week based on age

From the given data

Critical t: ±2.100924
P-Value: 0.0877
Here t value is lies between t critical value and P-value > alpha 0.05 so we accept H0

d) Thus we conclude that there is no difference int eh average number of sheets of dry wall that a person can install per week based on age