Boxplots and Outliers — Unit test Answers

The scores for 21 students on an exam are summarized in the stemplot below.

The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country.

The resting heart rates for a sample of 15 students are recorded in the following stemplot.

A prior study estimated as 34%. The analysts would like to conduct a second study on the same topic with a margin of error, E, of 0.027 and a confidence level of 90% (z*-score 1.645).

The five-number summary of a data set is given below.Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20Which of the following is a true statement about outliers for this distribution?

Sarah randomly selected 80 shoppers at a grocery store to taste two different types of Greek yogurt. Yogurt brand B was chosen as the favorite by 53 of them.

A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent of the products are faulty and will cost the company $200 each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of $2.00 per item?

A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in the table below.Probability of Profit and Loss by ContractContractProfit, Probability of ProfitProbability to Break EvenLoss, Probability of LossSoutheast$45,000, 50%30%$6,000, 20%Southwest$60,000, 35%40%$10,000, 25%California$112,000, 20%40%$40,000, 40%

The parallel dotplots below display the number of absences for students in each of two classes.

Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home runs are included in the hits data.) If he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.Which statement is a correct comparison of the distribution of granola bag weights for brands A and B?

Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

The stemplot below displays the grades (out of 30) that 26 students received on a quiz.Which of the following boxplots correctly displays the distribution of quiz grades?

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5