In: Statistics and Probability
(A). The number of home runs that Mark McGuire hit in the first 13 years of his major league baseball career are as follows {3, 49, 32, 33, 39, 22, 42, 9, 9, 39, 52, 58, 70} Construct a stem-and-leaf plot for the data.
(B). A random sample of 32 high school students is selected.
Each student is asked how much time he or she spent on the internet
during the previous week. The times, in hours, are listed in the
following data set {14, 22, 16, 19, 16, 14, 16, 15, 13, 19, 17, 15,
15, 14, 17, 16, 13, 13, 18, 15, 13, 15, 22, 17, 14, 18, 14, 17, 16,
16, 16, 14}. Construct a frequency and relative frequency
distribution for the data set.
Observation Frequency Relative
Frequency
13
14
15
16
17
18
19
22
(C). Below is a list of quiz scores in a frequency table. What
was the average quiz score and standard deviation?
Score Frequency
5 1
6 1
7 2
8 3
9 4
10 2
4(D) At a tennis tournament a statistician kept track of every serve. The statistician reported that the mean serve speed of a particular player was 95 mph and the standard deviation of the same player’s serve speeds was 12 mph. Nothing is known about the shape of the player’s serve distribution. Give an interval that will contain the speeds of at least 8/9 of the player’s serves.
(E). The mean credit hours taken at Ohio State University is 15 with a standard deviation of 4. Calculate and interpret the z-score for a student at Weber State taking 18 credit hours