1. Data from Gallup collected in May 2019 shows that the proportion of American adults that support same-sex marriage is 0.65. Assume this is the true population parameter for American adults. a. If we randomly select 30 American adults, show that we satisfy the requirement for normality of the sampling distribution. That is, show that and ≥10(1―.)≥10

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

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

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 30 American adults have a sample mean of at least ?=0.75

f. What is the probability that a random sample 30 American adults have a sample mean of less than =0.5?

Mackenzie needs to determine whether the rectangles are proportional. which process could she use? check all that apply.

In order to be invited to tutoring or extension activities a students performance 20 point higher or lower than average for the

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above