A survey was conducted, and a sample of college students was asked about whether they held a part-time job while taking classes. Of those who said "yes," they reported working the following number of hours in the past week. 6, 6, 5, 10, 4 (a) Is the average number of hours worked by the selected students a parameter or a statistic? ' ' parameter statistic (b) Calculate the sample standard deviation (in hours) of this data set. (Round your answer to three decimal places.) hr (c) Suppose that this survey was repeated, but that this time, 100 students who worked in the past week reported how many hours they worked. Suppose also that the sample variance of this new sample was 9.86. What is the value of the sample standard deviation (in hours)? (Round your answer to three decimal places.) hr (b) 1. 25, O, 0, 0, 10, 20, 25, 25 2. 45, 0, 0, 0, 10, 20, 25, 25 How do the means compare? ' Distribution 2 has the smaller mean because all the values are the same, except for one which is smaller than the corresponding value in distribution 1. Distribution 2 has the larger mean because all the values are the same, except for one which is larger than the corresponding value in distribution 1. ' Distributions 1 and 2 have the same mean since both are symmetric about the same value. " Distribution 2 has the smaller mean because all values in this distribution are smaller than those in distribution 1. ' Distribution 2 has the larger mean because all values in this distribution are larger than those in distribution 1. How do the standard deviations compare? While both distributions are symmetric about the same value, distribution 2 has a larger standard deviation because the data is more spread out. " Both distributions have the same standard deviation since they are equally variable around their respective means. ' Distribution 2 has a larger standard deviation because all the values are the same, except for one which is further from the center of the data than the corresponding value in distribution 1. " Distribution 2 has a smaller standard deviation because all the values are the same, except for one which is closer to the center of the data than the corresponding value in distribution 1. ' While both distributions are symmetric about the same value, distribution 2 has a smaller standard deviation because the data is more spread out. (c) 1. 0, 2, 4, 6, 8, 10 2. 40, 42, 44, 46, 48, 50 How do the means compare? Distribution 2 has the smaller mean because all the values are the same, except for one which is smaller than the corresponding value in distribution 1. Distribution 2 has the larger mean because all the values are the same, except for one which is larger than the corresponding value in distribution 1. Distributions 1 and 2 have the same mean since both are symmetric about the same value. Distribution 2 has the smaller mean because all values in this distribution are smaller than those in distribution 1. Distribution 2 has the larger mean because all values in this distribution are larger than those in distribution 1. How do the standard deviations compare? While both distributions are symmetric about the same value, distribution 2 has a larger standard deviation because the data is more spread out. Both distributions have the same standard deviation since they are equally variable around their respective means. Distribution 2 has a larger standard deviation because all the values are the same, except for one which is further from the center of the data than the corresponding value in distribution 1. Distribution 2 has a smaller standard deviation because all the values are the same, except for one which is closer to the center of the data than the corresponding value in distribution 1.(d) 1. 200, 300, 400, 500, 600 2. 0, 50, 400, 750, 800 How do the means compare? Distribution 2 has the smaller mean because all the values are the same, except for one which is smaller than the corresponding value in distribution 1. \\ Distribution 2 has the larger mean because all the values are the same, except for one which is larger than the corresponding value in distribution 1. ' Distributions 1 and 2 have the same mean since both are symmetric about the same value. ' ' Distribution 2 has the smaller mean because all values in this distribution are smaller than those in distribution 1. ' ' Distribution 2 has the larger mean because all values in this distribution are larger than those in distribution 1. How do the standard deviations compare? " While both distributions are symmetric about the same value, distribution 2 has a larger standard deviation because the data is more spread out. Both distributions have the same standard deviation since they are equally variable around their respective means. Distribution 2 has a larger standard deviation because all the values are the same, except for one which is further from the center of the data than the corresponding value in distribution 1. ' Distribution 2 has a smaller standard deviation because all the values are the same, except for one which is closer to the center of the data than the corresponding value in distribution 1. While both distributions are symmetric about the same value, distribution 2 has a smaller standard deviation because the data is more spread out. In a class of 25 students, 24 of them took an exam in class and 1 student took a makeup exam the following day. The professor graded the rst batch of 24 exams and found an average score of 75 points with a standard deviation of 8.2 points. The student who took the make-up the following day scored 65 points on the exam. (a) Does the new student's score increase or decrease the average score? Since the new score is ---Select--- 6 the mean of the 24 previous scores, the new mean should be --Select--- the old mean. (b) What is the new average? (Enter your answer to one decimal place.) points (c) Does the new student's score increase or decrease the standard deviation of the scores? The new score is ---Select--- one standard deviation away from the previous mean, which will tend to ---Select--- the standard deviation of the data. The rst Oscar awards for best actor and best actress were given out in 1929. The histograms below show the age distribution for all of the best actor and best actress winners from 1929 to 2018. Summary statistics for these distributions are also provided. + Best actress 3651 actor 20 4o 60 80 Age (in years) (D Compare the distributions of ages of best actor and actress winners. The age distribution for best actress is ---Select--- . The age distribution for best actor is -