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Studies show that low vitamin D is associated with impaired fertility. A prospective study compared AMH levels in infertile and fertile females with vitamin D deficiency. Among the 35 infertile females (group 1), the mean AMH level was 1.94 with standard deviation 1.30. Among the 35 fertile females (group 2), the mean AMH level was 3.47 with standard deviation 2.59. Assuming that the population variances are unequal, you need to test the claim that infertile females have lower AMH levels than fertile females using a 0.05 significance level. To do so, answer each of the following questions.
Null hypothesis?
a. x¯1 ≥ x¯2
b. x¯1< x¯2
c. μ1 ≥ u2
d. μ1 - μ2 < 0
e. μ1- u2 ≤ 0
Alternative hypothesis?
b. x¯1 < x¯2
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