(06.06 LC)  A cell phone company is interested in the relati…

(06.06 LC)  A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the collected data, the least-squares regression line is ŷ = 3.27 + 2.14x, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line? (3 points)

(05.02 MC)  The amount people whopay for cable service varie…

(05.02 MC)  The amount people whopay for cable service varies quite a bit, but the mean monthly fee is $142 and the standard deviation is $29. The distribution is not Normal. Many people pay about $76 for basic cable and about $160 for premium service, but some pay much more. A sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. Let x̄ be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x̄? Show your work and justify your reasoning. (4 points) Part B: What is the shape of the sampling distribution of x̄? Justify your answer. (2 points) Part C: What is the probability that the average cable service paid by the sample of cable service customers will exceed $143? Show your work. (4 points) (10 points)

(05.04 MC)  A researcher has conducted a survey using a simp…

(05.04 MC)  A researcher has conducted a survey using a simple random sample of 225 elementary teachers to create a confidence interval to estimate the proportion of elementary teachers favoring the addition of a soda machine to the cafeteria. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 25 teachers instead of 225 elementary teachers. Which of the following statements best describes how the confidence interval is affected by this change? (3 points)