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Chapter 2: Q 2.2. (page 91)
Another student in the class, Brent, is inches tall. How tall is Brent compared with the rest of the class? Give appropriate numerical evidence to support your answer.
Brent's height is standard deviations above the mean.
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Use Table A to find the value from the standard Normal distribution that satisfies each of the following conditions. In each case, sketch a standard Normal curve with your value of marked on the axis.
5. of all observations are greater than
Teacher raises A school system employs teachers at salaries between and . The teachers鈥� union and the school board are negotiating the form of next year鈥檚 increase in the salary schedule.
(a) If every teacher is given a flat raise, what will this do to the mean salary? To the median salary? Explain your answers.
(b) What would a flat raise do to the extremes and quartiles of the salary distribution? To the standard deviation of teachers鈥� salaries? Explain your answers.
T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the School Population Fitness Survey. For the Presidential award, the standard for each event is the percentile of the results for a specific age group and gender among students who participated in the survey. For the National award, the standard is the percentile. To win either award, a student must meet the qualifying standard for all five events.
Jane, who is years old, did curl-ups in one minute. Matt, who is years old, also did curl-ups in one minute. The qualifying standard for the Presidential award is curl-ups for Jane and curl-ups for Matt. For the National award, the standards are and , respectively.
(a) Compare Jane's and Matt's performances using percentiles. Explain in language simple enough for someone who knows little statistics to understand.
(b) Who has the higher standardized value (-score), Jane or Matt? Justify your answer.
Follow the method shown in the examples to answer each of the following questions. Use your calculator or the Normal Curve applet to check your answers.
3. What distance would a ball have to travel to be at the percentile of Tiger Woods's drive lengths?
Density curves Sketch a density curve that might describe a distribution that has a single peak and is skewed to the left.
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