Random samples of 5 Japanese women and 10 Japanese men showed an average life span of 83 years for the women and 77 years for the men. The standard deviation was 2 years for the women and 1 year for the men. Calculate a 95 confidence interval for the difference in average life spans (women - men). Assume that the life spans are normally distributed, but do not assume the population variances are equal, and use the conservative by-hand estimate for the degrees of freedom.
Question 2
Sleep apnea is a condition involving irregular breathing during sleep. Suppose that 20 of a population of men experience sleep apnea. A random sample of n = 64 men is to be drawn from this population. What is the mean of the sampling distribution for the sample proportion of men who experience sleep apnea?
a. 20/64
b. 0.20
c. 0.80
d. It depends on the value of the sample proportion.
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