17) The percentage of students that a college retains past their first year is c

Question

17) The percentage of students that a college retains past their first year is called the retention rate. The 2016 national retention rate was 71.2%. A KSU professor claims that Kent State's retention is higher than 712% She takes a random sample of 1000 first-year KSU students and finds that 972 of them returned for a second year What would be the appropslate TEST STATISTIC to use in this hypothesis test? A) The t-statistic because the test is about the population mean, . B) The z-statistic because the test is about the C) Either statistic would be appropriate D) Neither statistic would be appropriabe. the population proportion, p 18) A usefhal estimator for the population mean is the B) Population standard deviation D) Sample size A) Population proportion Sample mean Use the following information to answer questions 19-21 The mean finish time of all participants in the 2012 Boston Marathen was 4.3 hours Suppose the standard deviation was 0.5 hour. Suppose also that a random sample of 40 participants was taken and the mean finishing time was found to be 4 hours with a sample standard deviation of 035 hour 19) Suppose the process of taking random samples of size 40 is repeated 200 times and a histogram of the 200 sample means is created. Would the histogram be an approximate display of the population distribution, the distribution of a sample, or a sampling distribution of means? A) sampling distribution of means C) distribation of a sample B) population distribution D) All of the above 20) Which statement best describes the shape of the histograas mentioned in 197 A) The histogram will be roughly beill-shaped C) The histogram wi be ur imodal. 8) The histogram will be roughly symmetrical D) All of these statements are true 21) What is the standard error for the distribution of mear i finish times for samples of size 407 Round to the neares A) 0.079 0.013 C) 0.055 D) 0.350 22) As a rule of thumb, when considering whether or not to apply the Cenal Limit Theorem for Sample Means so a sample drawm freem a population that is not normal what sample stue is considered "large? A) 50 or more B)25 or more C) 10 or more D) 25 or more 23) Some souroes report the weights of full-term newborn babies in a certain city have a mean of 7 pounds with a standard deviation of 1.2 pounds and are normally distributed. What is the probability that the average of four babies weights will be between 5.8 and 8.2 pounds? A) 0.9545 8)0.6827 8.3173 D) 00455 A-4

Explanation / Answer

Solution:-

19) option C) distribution of a sample

20) option D) All of these statements are true.

21) option C) 0.055

=> 0.35/sqrt(40) = 0.055

22) option D) 25 or more

23) option A) 0.9545

=> P((5.8 - 7)/(1.2/sqrt(4) < Z < (8.2 - 7)/(1.2/sqrt(4))
=> P(-2 < Z < 2)
=> 0.9544

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