A headline in a newspaper states that "most stay at job for less than two years". That headline is based on a poll of 350 college students. Among those polled, 85% stayed at their first full time job less than two years. a. Assuming that 50% is the true percentage of graduates who stay at their first job less than two years, find the mean and standard deviation of the numbers of such graduates in randomly selected groups of 350 graduates. 1. The mean _____ graduates. (simplify your answer) 2. The standard deviation ______ graduates. (round to one decimal place as needed) b. Assuming that the 50% rate in part (a) is correct, find the range of usual values for the number of graduates among 350 who stay at their first job less than two years. The numbers of graduates among 350 who stay at thier first job less than two years should usually fall between ______ and _______. (use ascending order. Round to one decimal as needed) c. Find the actual number of surveyed graduates who stayed at their first job less than two years. Use the range of values from part (b) to determine whether than number is unusual. Does the result suggest that the headline is not justified? The actual number of graduates who stayed at their first job less than two years is: _____ (round to the nearest whole number as needed) Is the actual number of surveyed graduates who stayed at thier job less than two years unusual? a. Since the actual number is outside of the range of usual values found in part (b), it is not unusual. b. Since the actual number is outside of the range of usual values found in part (b), it is unusual. c. Since the actual number is inside of the range of usual values found in part (b), it is unusual. d. Since the actual number is inside of the range of usual values found in part (b), it is unusual. Does the result suggest that the headline is not justified? a. The result suggests that the headline is not justified. b. The result suggests that the headline is justified. The statement, "The alumni who opted in to receive communications from the website were invited to participate in the online poll, and 350 of them completed the survey," was given as part of the description of the survey methods used. What does that statement suggest about the results? Since the sample of 350 respondents is a ___________ (random, voluntary response, simple random) sample, the results are __________ (accurate, very questionable).
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