The following table gives the performance competency scores for a random sample of family nurse practitioners (FNPs) with different specialties, from hospitals in three cities.

a. Classify each factor as either fixed or random, and justify your classification.
b. Form the table of sample means (use the accompanying computer output to do so), and then comment on the patterns observed.
c. Using the computer output, compute the appropriate F statistic for each of the four possible factor classification schemes (i.e., both factors fixed, both random, and one factor of each type).
d. Analyze the data based on each possible factor classification scheme. How do the results compare?
e. Using Scheffe's method, as described in Chapter 17, find a 95% confidence interval for the true difference in mean scores between pediatric FNPs and ob-gyn FNPs.
f. Using the sample means obtained in part (b) and assuming each factor to be fixed, state a regression model appropriate for the two-way ANOVA table, and provide estimates of the regression coefficients associated with the main effects of each factor.

Specialty City 1 City 2 86.3, 88.1, 92.0, 69.5 71.3,73.4, 76.9,87.2 80.2,76.1, 44.2, 50.5 City 3 Pediatrics 91.7,74.9 88.2,79.5 80.1, 76.2, 70.3, 89.5 71.5,49.8, 55.1,75.4 82.3, 78.7, 89.8, 84.5 90.1,65.6 74.6.79.1 48.7,54.4, 60.1.70.8 2 Obstetrics and gynecology Diabetes and hypertension