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 (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.05. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a = 0.10 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. Ο Α. Η , μ= 64.1 in . versus H : μ> 64.1 in. Ο Β . H : μ 63.7 in. versus H, : μ< 63.7 in. OC. Ho: u= 64.1 in. versus H,:H< 64.1 in. O D. Ho: H= 63.7 in. versus H,: µ> 63.7 in. O E. Ho: H= 64.1 in. versus H,:p#64.1 in. O F. Ho: H= 63.7 in. versus H,: µ#63.7 in. (b) Suppose the P-value for this test is 0.05. Explain what this value represents. O A. There is a 0.05 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.1 inches. O B. There is a 0.05 probability of obtaining a sample mean height of 64.1 inches or shorter from a population whose mean height is 63.7 inches. OC. There is a 0.05 probability of obtaining a sample mean height of exactly 64.1 inches from a population whose mean height is 63.7 inches.