Question

several years ago, the mean height of women 20 years of age or older was 63.7 inches. suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.1 inches (a) state the appropriate null and alternative hypotheses to assess whether women are taller today (b) suppose the p - value for this test is 0.13. explain what this value represents (c) write a conclusion for this hypothesis test assuming an α = 0.05 level of significance (a) state the appropriate null and alternative hypotheses to assess whether women are taller today oa. h₀: μ = 63.7 in. versus h₁: μ ≠ 63.7 in. ob. h₀: μ = 64.1 in. versus h₁: μ > 64.1 in oc. h₀: μ = 64.1 in. versus h₁: μ < 64.1 in. od. h₀: μ = 63.7 in. versus h₁: μ > 63.7 in oe. h₀: μ = 64.1 in. versus h₁: μ ≠ 64.1 in. of. h₀: μ = 63.7 in. versus h₁: μ < 63.7 in

Explanation:

• The null hypothesis \(H_0\) is a statement of no - change or equality. Here, the historical mean height is \(63.7\) inches, so \(H_0:\mu = 63.7\) in.
• The alternative hypothesis \(H_1\) is what we are trying to find evidence for. Since we want to assess if women are taller today, \(H_1:\mu>63.7\) in.

Answer:

D. \(H_0:\mu = 63.7\) in versus \(H_1:\mu>63.7\) in