Data from Gallup collected in March 2019 shows that the proportion of registered Republicans that consider themselves "concerned believers in climate change" was 0.16 (as opposed to 0.77 for Democrats and 0.53 for Independents). Assume this is the true population parameter for registered Republicans. a. If we randomly select 80 registered Republicans, show that we satisfy the requirement for normality of the sampling distribution. That is, show that ≥10and .(1―)≥10

b. What is the mean of the sampling distribution? That is, what is ?

c. What is the standard deviation of the sampling distribution? That is, what is ?

d. According to the empirical rule, 68% of all samples means fall within which two values?

e. What is the probability that a random sample of 80 registered Republicans has a sample mean of at least ?=0.25

f. What is the probability that a random sample of 80 registered Republicans has a sample mean of less than ?