Use the Following Information for Questions:
a Researcher Wants $µ_1$

Multiple Choice

Use the following information for questions:
A researcher wants to assess if there is a difference in the average life spans between men and women in Japan. Let $µ_1$ = average life span of Japanese women and $µ_2$ = average life span of Japanese men. A random sample of 10 women showed an average lifespan of 83 years, with a sample standard deviation of 7 years. A random sample of 10 men showed an average lifespan of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are normally distributed and that the population variances are equal.
-What are the appropriate null and alternative hypotheses?

A) H₀: $µ_1$ - $µ_2$ = 0 and H_a: $µ_1$ - $µ_2$ $\neq$ 0
B) H₀: $µ_1$ - $µ_2$ $\neq$ 0 and H_a: $µ_1$ - $µ_2$ = 0
C) H₀: $µ_1$ - $µ_2$ = 0 and H_a: $µ_1$ - $µ_2$ < 0
D) H₀: $µ_1$ - $µ_2$ = 0 and H_a: $µ_1$ - $µ_2$ > 0