Assume that women's heights are normally distributed with a mean given by mu equals 63.4 in, and a standard deviation given by sigma equals 2.4 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) if 44 women are randomly selected, find the probability that they have a mean height less than 64 in.

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. what can you conclude? 2(0.21) = 0.42 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant. 0.21 > 0.05; the test is statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time, so the test is not statistically significant. p = 1 - 0.21 = 0.79 > 0.05; the test is statistically significant.