Secondary Math 3
Name___________________________________ ID: 1
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Unit 1 Review
Date________________ Period____
650 students at Central High School measured their height for PE class. The heights were distributed normally with a mean of 64 inches and a standard deviation of 2. 1) What percentage of heights are beween 58 and 64 inches? 2) Approximately how many students are taller than 5'6"? Nurses providing free screenings at a health fair recorded the body temperatures for everyone they screened. The body temperatures were normally distributed, with a mean of 98.2° Fahrenheit. Sixty-eight percent of the temperatures were between 97.6° and 98.8° Fahrenheit. 3) What is the standard deviation of body temperatures taken at the health fair? 4) What percent of body temperatures were between 96.4° and 100° Fahrenheit? Sketch each type of data set. 5) Uniform distribution.
6) Skewed left.
The mean score on the mathematics section of a particular state's high school exit exam in 2011 was 514 and the standard deviation was 117. Stephanie scored a 680 on the test. 7) What was Stephanie's z-score? 8) What percent of the students who took the test scored higher than Stephanie on the mathematics section? Use the table on U1-39. 9) Find the z-score for a student who completes the course in 40 seconds. Asia wonders if the amount of seltzer water present in a 12-ounce bottle is actually 12 ounces. She selects a sample of 30 12-ounce bottles of seltzer water from a local supermarket and measures the volume of liquid in each bottle. Her results are shown in the following table. U1-60 10) Identify any outliers. Give a possible reason for the existence of an outlier. 11) What percent of the bottles in the sample have a volume of liquid within one standard deviation of the mean? 12) Is the normal distribution an appropriate model for the volume of liquid in the population from which these bottles were drawn? Justify your answer. Choose the best response. 13) Which of the following involves population monitoring rather than sampling? A) a government census B) television ratings C) market research D) water-quality testing
Worksheet by Kuta Software LLC
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Use the table to answer each question. U1-101
14) Find the sample of 3 dog food blends with the greatest mean. Determine the mean of this sample rounded to the nearest tenth. 15) Explain how you can select a simple random sample of 3 dog food blends from the 8 blends given in the table. Identify which method of study could be used to best accomplish the results sought in each scenario. Sample survey, experiment, or observational study? Explain your reasoning. 16) Siberia will soon become home ot the world's largest gamma-ray telescope. Researchers will use the telescope study cosmic rays. What type of study might the researchers conduct with the new telescope? Design an appropriate study to find the desired information. State whether your study is a survey, experiment, or observational study.
17) The designer of a new type of light bulb that uses less electricity wants to publish the average yearly savings for families who switch to the new bulb. Know definitions for the following terms: 18) Lesson 1: continuous data, Empirical Rule, mean, median, normal distribution, outlier, population, sample, statistic of interest, skewed, standard deviation, uniform distribution, z-score 19) Lesson 2: bias, cluster sample, convenience sample, parameter, population, random number generator, simple random sample, stratified sample, systematic sample, validity. 20) Lesson 3: bias, confounding variable, control group, experiment, neutral, observational study, placebo, sample survey, survey.
Worksheet by Kuta Software LLC
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