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Chapter 11: Q. 4 (page 734)
Assuming is true, the expected number of Hispanic drivers who would receive a ticket is
(a) 8
(c) 11.
(e) 12.
(b) 10.36
(d) 11.84
(d) 11.84
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Skittles Statistics teacher Jason Molesky contacted Mars, Inc., to ask about the color distribution for Skittles candies. Here is an excerpt from the response he received: 鈥淭he original flavor blend for the SKITTLES BITE SIZE CANDIES is lemon, lime, orange, strawberry, and grape. They were chosen as a result of consumer preference tests we conducted. The flavor blend is 20 percent of each flavor.鈥�
(a) State appropriate hypotheses for a significance test of the company鈥檚 claim.
(b) Find the expected counts for a bag of Skittles with 60 candies.
(c) How large a C2 statistic would you need to get in order to have significant evidence against the company鈥檚 claim at the A 0.05 level? At the A 0.01 level?
(d) Create a set of observed counts for a bag with 60 candies that gives a P-value between 0.01 and 0.05. Show the calculation of your chi-square statistic.
Your teacher prepares a large container full of colored beads. She claims that of the beads are red, are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher鈥檚 claim. The smallest number of beads you can take so that the conditions for performing inference are met is
(a) 15. (c) 30. (e) 80.
(b) 16. (d) 40
After randomly assigning subjects to treatments in a randomized comparative experiment, we can compare the treatment groups to see how well the random assignment worked. We hope to find no significant differences among the groups. A study on how to provide premature infants with a substance essential to their development assigned infants at random to receive one of four types of supplements, called PBM, NLCP, PL-LCP, and TG-LCP. The subjects were premature infants. In the experiment, were assigned to the PBM group and to each of the other treatments.
(a) The random assignment resulted in females in the TG-LCP group and 11 females in each of the other groups. Make a two-way table of the group by gender. Calculate the proportion of females in each treatment group. Does it appear that the random assignment roughly balanced the groups by gender? Explain.
(b) Are the differences between the groups statistically significant? Give appropriate evidence to support your answer.
Use Table C to find the -value. Then use your calculator鈥檚 command.
Who were the popular kids at your elementary school? Did they get good grades or have good looks? Were they good at sports? A study was performed to examine the factors that determine social status for children in grades , and . Researchers administered a questionnaire to a random sample of students in these grades. One of the questions they asked was 鈥淲hat would you most like to do at school: make good grades, be good at sports, or be popular?鈥� The two-way table below summarizes the students鈥� responses.
(a) Construct an appropriate graph to compare male and female responses. Write a few sentences describing the relationship between gender and goals.
(b) Is there convincing evidence of an association between gender and goals for elementary school students? Carry out a test at the localid="1653534557186" level and report your conclusion.
(c) Which cell contributes most to the chi-square statistic in part (b)? Explain
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