1. According to your health and physical education textbook, the average American man is 170 an tall From your statistics course, you have a data set with the heights of a random sample of 145 American men. You use that data set to construct a 95%% confidence interval for the mean height of [176 285 an, 178.754 on] Given your confidence interval, is there evidence that the maan height in the population of all American man is greater than 170 cm? Yes, there is evidence that the mean height in the population of all American men is greater than 170 an. No, there is NOT evidence that the mean height in the population of all American men is greater than 170 em. 2. In a nationwide survey of n - 1030 adults, 6% answered yes to the question "During the last year did anyone break into or somehow illegally get into your home or apartment?" Construct a 95%% confidence interval for the population proportion. Hint, the z" multiplier is 1.96 [0.048, 0.072] [0.045, 0.075] [0.040, 0.080] [0.031, 0.089] 3. Every student taking elementary statistics at a large university (about 1,100 students) participated in a class project by rolling a 6-sided die 100 times. Each individual student determined the proportion of his or her 100 rolls for which the result was a "1". The instructor plans to draw a histogram of the 1,100 sample proportions. What is the mean of the sampling distribution of p-hat? Apply the Rule of Sample Proportions. 1/100 6/100