This Question: 1 pt 2 of 9 This Quiz: 9 pts possible A headline in a certain new

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This Question: 1 pt 2 of 9 This Quiz: 9 pts possible A headline in a certain newspaper states that most stay at first job less than 2 years." That headline is based on an online poll of 310 college graduates. Among those polled, 84% stayed at their first full-time job less than 2 years. Complete parts (a) through (d) 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 310 graduates The mean is graduates Simplify your answer. The standard deviation is 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 numbers of graduates among 310 who stay at the r first job less than two years The numbers of graduates among 310 who stay at their first job less than two years should usually fall between and (Use ascending order. Round to one decimal place 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 that number is unusual. Does the result suggest that the headline is not justified? The actual number of surveyed graduates who stayed at their first job less than two years is Round to the nearest whole number as needed.) s the actual number of surveyed graduates who stayed at the r first job less than two years unusual? O A. Since the actual number is outside of the range of usual values found in part (b), it is not unusual O B. Since the actual number is outside of the range of usual values found in part (b), it is unusual O C. Since the actual number is inside of the range of usual values found in part (b), it is not unusual O D. Since the actual number is inside of the range of usual values found in part (b), it is unusual What does the result suggest about the headline? O A. The result suggests that the headline is not justified O B. The result suggests that the headline is justified d. The statement, "Alumni who opted-in to receive communications from the website were invited to participate in the online poll, and 310 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 310 respondents is a sample, the results are

Explanation / Answer

A) The mean = np = 310x0.5 = 155

Standard deviation = sq root(npq) = sq root(310x0.5x0.5) = 8.8

B) The range is between 2 standard deviations from mean

= 155 - 2x8.8 to 155 + 2x8.8

= 137.4 to 172.6

C) Actual number of surveyed graduates who stayed at their first job for less than 2 years = 0.84x310 = 260

B.since the actual number is outside the range of usualvalues found in part b, it is unusual

A. The result suggests that the headline is not justified

D) Since the sample of 310 respondents is a voluntary response wsample, the results are very questionable

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