Let x be hemoglobin count (HC) in grams per 100 milliliters of whole blood for a healthy adult woman. It is believed that x has a normal distribution with a mean of 14 and an unknown standard deviation. A random sample of ten healthy adult females was taken with the following HC for each:: 15, 18, 16, 19, 14, 12, 14, 17, 15, 11 So, we assume that our sample comes from a normal population with unknown standard deviation of o. We would like to test whether the mean HC is higher than 14. The null hypothesis is thus Ho:/=14 . We will test this against the alternative Ha We want to test at the 1% level. Let x = the sample mean and s = the sample standard deviation. a) What should the alternative hypothesis, Ha , be? O Ha:M=1% O Hail# 14 O Hail 14 b) What is the formula for your test statistic? OT = X-1% OT - X-14 10 X-14 OT= - V10 OT= X-14 X-14 OT = - c) What value does your test statistic, T, take on with the sample data? d) What type of probability distribution does your test statistic, T, have? O binomial Ot O Chi-Squared O Cauchy O normal e) How many degrees of freedom does T have? f) Calculate the critical value, tstar, for your test. (positive value) g) For what values of your test statistic, T, is the null hypothesis rejected? O IT - tstar) tstar O T > tstar or T tstar/2 or T