Chapter 3: Describing, Exploring and Comparing Data
Q5
In Exercises 5鈥8, express all z scores with two decimal places.
ATL Data Speeds For the Verizon airport data speeds (Mbps) listed in Data Set 32 鈥淎irport Data Speeds鈥 in Appendix B, the highest speed of 77.8 Mbps was measured at Atlanta鈥檚 (ATL) international airport. The complete list of 50 Verizon data speeds has a mean of x = 17.60 Mbps and a standard deviation of s = 16.02 Mbps
a. What is the difference between Verizon鈥檚 data speed at Atlanta鈥檚 international airport and the mean of all of Verizon鈥檚 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert Verizon鈥檚 data speed at Atlanta鈥檚 international airport to a z score.
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is Verizon鈥檚 speed at Atlanta significant?
Q5
For Exercises 5鈥20, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c) mode, (d) midrange, and then answer the given question.
Football Player Numbers Listed below are the jersey numbers of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII.
What do the results tell us? 89 91 55 7 20 99 25 81 19 82 60
Q5
Histogram The accompanying histogram depicts outcomes of digits from the Florida Play 4 lottery. What is the major flaw in this histogram?
Q5
In Exercises 5鈥20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥) in your results. (The same data were used in Section 3-1, where we found measures of center. Here we find measures of variation.) Then answer the given questions.
Football Player Numbers Listed below are the jersey numbers of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII. What do the results tell us?
89 91 55 7 20 99 25 81 19 82 60
Q5
ER Codes In an analysis of activities that resulted in brain injuries presenting at hospital emergency rooms, the following activities were identified by the codes shown in parentheses: bicycling (12); football (14); playground (22); basketball (27); swimming (40). Find the mean of 12, 14, 22, 27, and 40. What is wrong with this result?
Q5
Sleep Outlier If the sleep time of 0 hours is included with the sample data given in Exercise 1, is it an outlier? Why or why not?
Q6
Normal Distribution Examine the distribution shown in the histogram from Exercise 5. Does it appear that the sample data are from a population with a normal distribution? Why or why not?
Q6
Effects of an Outlier Listed below are platelet counts (1000 cells>mL) from subjects included in Data Set 1 鈥淏ody Data.鈥 Identify the outlier and then comment on the effect it has on the mean and standard deviation by finding the values of those statistics with the outlier included and then with the outlier excluded. 263 206 185 246 188 191 308 262 198 253 646
Q6
Sleep z Score A larger sample of 50 sleep times (hours) has a mean of 6.3 hours and a standard deviation of 1.4 hours. What is the z score for a sleep time of 5 hours?
Q6
In Exercises 5鈥20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥) in your results. (The same data were used in Section 3-1, where we found measures of center. Here we find measures of variation.) Then answer the given questions.
Football Player Weights Listed below are the weights in pounds of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII (the same players from the preceding exercise). Are the measures of variation likely to be typical of all NFL players?
189 254 235 225 190 305 195 202 190 252 305