Suppose, the distribution of the weight of adults is bimodal (due to differences between males and females). Then the sampling distribution of the sample variance would be (a) Normal, as long as the sample size is greater than 30. (b) Normal, as long as up and n(1 p) are greater than 10. (c) Chi-squared, as long as the sample size is greater than 30. (d) the same as the distribution of the adult weights. (e) None of the above _ Which of the following does NOT affect the sampling distribution of a statistic? (a) the sample size (b) the type of statistic (c) the distribution of the population (d) the variability of the population (e) the distribution of the data Why does the sampling distribution of X become more and more normally dis tributed as the sample size increases even when not sampling from a normal population? (a) Because the sampling becomes more random. (b) Because the likelihood of selecting all observations from the upper or lower tail of the population distribution decreases as the sample size increases. (c) Because the variability of the sample decreases as the sample size increases. (d) Because the population mean gets closer to the sample mean. (e) Because the sampling error is reduced as the sample size increases. In order for (n US2 /02 to have a chi-square sampling distribution with (n 1) degrees of freedom, (3.) the sample size must be large, at least 30 as long as the population distribution is not too strongly nonnormal. (b) the data must be sampled from a normal population. (c) the sample data should follow a chi-square distribution. ((1) the variance must be known or assumed known. ) (e Two of the above are true (circle the two you choose). A scientist is trying to estimate a population mean [4. She obtains a sample of iize of size 100 drawn from the population, and using the sample mean and sample standard ieviation, she computes several condence intervals and also performs a hypothesis test. The icientist computes the 80% condence interval to be (442,5.92). Using the same data, she also :omputes the 90% condence interval to be (4206,6133), and the 95% condence interval to e (4022,6318). She also decides to test Ho : p = 4.1 versus H1 : a 7E 4.1. Regarding the Pvalue, which one of the following statements is true? (a) P>0.2 (b) 0.1