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

Use the following information for questions:
A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let $µ_1$ = average age of first marriage for women in 1990 and $µ_2$ = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, but do not assume the population variances are equal. Use the conservative "by hand" estimate for the degrees of freedom.
-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