Suppose that we will randomly select a sample of 04 measurements from a population H to mean equal to 20 and a standard deviation equal to 4. Describe the shape of the sampling distribution of the...

Suppose that we will randomly select a sample of 04 measurements from a population H to mean equal to 20 and a standard deviation equal to 4. Describe the shape of the sampling distribution of the sample mean .v. Do we need to Hi a 11 1 1 assumptions about the shape of the population'? Why or why not? b Find the mean and the standard deviation of the sampling distribution of the sample nin.n c Calculate the probability that we will obtain a sample mean greater than 21; that is, calcill:u; Pc k > 20. Hint: Find the z value corresponding to 11 by using p, and u, because we \\ 1,) calculate a probability about When sketch the sampling distribution and the probability. d_7a.cu. I i ate the probability that we will obtain a sample mean less than 19.385; that is, calculate

On February 8, 2002, the Gallup Organization released the results of a poll concerning America. attitudes toward the 19th Winter Olympic Games in Salt Lake City. Utah. The poll results %x ere based on telephone interviews with a randomly selected national sample of 1.011 adults. 18 ycw-, and older, conducted February 4-6, 2002. tt Suppose we wish to use the poll's results to justify the claim that more than 30 percent of Americans (18 years or older) say that figure skating is their favorite Winter Olympic event. The poll actually found that 32 percent of respondents reported that figure skating was their favorite event.`' if, for the sake of argument, we assume that 30 percent of Americans (18 year" or older) say figure skating is their favorite event (that is, p = .1), calculate the probability of observing a sample proportion of .32 or more; that is, calculate P(j3 .32). b Based on the probability you computed in part a, would you conclude that more than 30 percent of Americans (18 years or older) say that figure skating is their favorite Winter Olympic event?