(05.02 LC)  Given a population mean of 27.1 with a standard…

(05.02 LC)  Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions: Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points) Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 2.8? Show your work. (5 points) (10 points)

(04.02 MC)  A coin is weighted so the probability of heads i…

(04.02 MC)  A coin is weighted so the probability of heads is 0.65. The coin is tossed 15 times, and the number of times heads shows is recorded. This procedure is repeated 100 times with the number of times heads shows noted each time. What kind of distribution is simulated? (4 points)

(06.07 MC)  A statistician wants to determine the relationsh…

(06.07 MC)  A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds? (3 points)

(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)