
1) The following is a list of some of the statistical methods that you have learned about
since midterm #1:
ï‚· ï£
2
ï‚· ï£
2
test for independence
goodness of fit test
ï‚· One-way ANOVA
ï‚· Two-way ANOVA
ï‚· Randomized Block Design ANOVA
ï‚· Simple linear regression
For each of the situations described below, state the technique (from the list above)
that you believe is appropriate. If none are appropriate, state “none of the aboveâ€.
No calculations are required.
a) [2 points] In a study to determine if prayer helps coronary-care patients recover
(Philadelphia Inquirer, Jan. 7, 2001 p.J5), 45 patients were randomly assigned to
receive “standard treatmentâ€, “standard treatment + herbal supplementsâ€, or
“standard treatment + prayer†(where by prayer we mean that other people are
praying for the patients without their knowledge). 15 patients were assigned to
each treatment regimen. Patients not receiving herbal supplements were given
placebo pills ---so the study was “blind†meaning that the patients didn’t know
which treatment group they were in. Doctors recorded the number of patients with
“adverse outcomes†in each group and want to know if the rate of adverse
outcomes is different across the 3 treatments.
b) [2 points] A snack foods company is interested in improving the shelf life of its
tortilla chips product. Twenty batches (each batch contains 1 pound of tortillas) of
tortillas were made under each of four different formulations (containing differentÂ