Babies: A sample of25 onevearold girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally.r distributed. A pediatrician claims that the standard deviation of the weights of one vear-old girls is less than 5 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the ct = 0.01 level of significance. Partlof a State the appropriate null and alternate hypotheses. ml= we HIZGI': 'llEl This hypothesis test is a I lefttailed I test. Par'tZDfE 0 Find the critical value. Round the answer to three decimal places. For ot= 0.01, the critical value is 10.355 Part: 2 f 5 Part 3 of 5 Compute the test statistic. Round the answer to three decimal places. 12 X 5:) Watching TV: The 2012 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.09 with a standard deviation of 2.9. Assume that in a sample of 46 teenagers, the sample standard deviation of daily TV time is 4.5 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.9? Use the a = 0.05 level of significance. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho : 5 = 2.9 2.9 This hypothesis test is a left-tailed test. Part 2 of 5 Find the critical value. Round the answer to three decimal places. For a = 0.05, the critical value is | 30.612 Part: 2 / 5 Part 3 of 5 Compute the test statistic. Round the answer to three decimal places. X 5IQ scores: Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation s = 8. The developer of the test claims that the population standard deviation is greater than o = 16. Do these data provide sufficient evidence to support this claim? Use the a = 0.10 level of significance. Part 1 of 5 State the appropriate null and alternate hypotheses. H :G = 16 H, :6 > 16 This hypothesis test is a right-tailed test. Part: 1 / 5 Part 2 of 5 Find the critical value. Round the answer to three decimal places. For a = 0.10, the critical value is X 5