1-74% of JMU students are in-state students. A sample of 50 JMU students is selected. What is the probability that more than 80% of the students in the sample are in-state students?

2-The average cholesterol content of a particular brand of egg is 215 mg with a standard deviation of 15 mg.

(a)What is the probability that a random sample of 40 of these eggs has an average cholesterol content between 205 mg and 210 mg?

(b)A restaurant makes a large batch of scrambled eggs using 35 eggs that are from this brand. What is the probability that the total cholesterol content of the 35 eggs will be less than 7500 mg?

(c)Can you determine the probability that a randomly selected egg has a cholesterol content below 200 mg without making any assumptions? Why or why not?

3-A recent Gallup poll of a random sample of 1,015 US adults reported that a 95% confidence interval for the population proportion of adults who frequently worry about being the victim of identity theft is (0.32,0.40).

(a)We are 95% confident that what parameter is contained in this interval? (Circle your answer.) Can we say that there is a probability of 95% that this parameter is actually contained in this interval?

A) sample proportion B) population proportion C) sample size D) margin of error

(b)What statistic is guaranteed to be in this interval? (Circle your answer.) What is the value of this statistic?

A) sample proportion B) population proportion C) sample size D) margin of error

(c)What do we actually mean when we say we are 95% confident?

(d)What is the margin of error,m, for this confidence interval?

(e)What type of distribution was used to obtain this confidence interval? What is the value of the critical value,z, that was used to obtain this confidence interval?

(f)According to this confidence interval, is it plausible that the true percentage of US adults who frequently worry about being the victim of identity theft is 60%?

(g)If you had been planning this study (with no initial knowledge or estimates of the value of the population proportion), what would the minimum sample size needed to guarantee a margin of error of 5%?