Question

MATH 216 Final Exam Name: __________________________________
1) Health Care Knowledge Systems reported that an insured woman spends on average 2.3 days in the hospital for
routine childbirth with a standard deviation of 0.6 days. An uninsured woman spends on average 1.9 days in
the hospital with a standard deviation of 0.3 days. Assume two random samples of 16 women were used in
both samples. Can we conclude that insured women spend more time in the hospital for routine childbirth than
women who are not insured? (Show all steps except conditions).
2) To test the effectiveness of a new drug, a researcher gives one group of randomly selected individuals the new
drug and another group of randomly selected individuals a placebo. The results are shown in the table below.
At ? = 0.05, can the researcher conclude that the drug results differ from those of the placebo? (Show ALL steps
including conditions).
Medication Effective Ineffective
Drug 32 9
Placebo 12 18
3) A study is conducted to determine the relationship between a driver’s age and the number of accidents he or she
has over a 1-year period. The data are shown in the table below.
Age 63 65 60 62 66 67 59
Accidents 2 3 1 0 3 1 4
a) What is the value of the correlation coefficient? Describe what it means in context.
b) Interpret the slope of the LSRL in context.
c) Find the residual for a driver that is 65 years old. Show all work for the residual.
d) Test if there is a linear relationship between age of a driver and number of accidents over a 1-year period.
Show ALL steps including conditions.

Answer 1