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# A hospital group operates 33 clinics in Indiana and Illinois

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A hospital group operates 33 clinics in Indiana and Illinois. A study was conducted to estimate the difference in mean time spent per visit for men and women. Previous studies indicated that the standard deviation is 11 min, for men and 16 min. for women. A random sample of 100 men and 100 women at the two states was observed. The resulting sample means were 34.5 min. for men and 42.4 min. for women. Is the difference between men and women significant at ? = 0.05

a. State null & alternate hypotheses

Null hypothesis: H0: µ1 = µ2
Alternate hypothesis H1: µ1 ? µ2

b. What is the 'degree of freedom'?
c. Calculate t test statistic
d. Determine t critical
e. Is the difference in mean time between men and women significant?

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