Chapter 11: Q.3 (page 692)
Aw, nuts! Calculate the chi-square statistic for the data in Exercise . Show your work.
Short Answer
From the given information, the test statistics are
Chapter 11: Q.3 (page 692)
Aw, nuts! Calculate the chi-square statistic for the data in Exercise . Show your work.
From the given information, the test statistics are
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Get started for freeMars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown
State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&M’S
Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below.
(a) Explain why it is acceptable to use two-sample t procedures in this setting.
(b) Construct and interpret a confidence interval for the difference in the mean English grade for light and heavy readers.
(c) Does the interval in part (b) provide convincing evidence that reading more causes an increase in students’ English grades? Justify your answer.
Removing warts A recently reported study looked at the use of oral zinc supplements to get rid of warts. The treatment group took an oral zinc supplement. Of these people, were rid of their warts after one month, and additional patients were rid of them after two months. The subjects in a control group were given a placebo. Of these, was rid of his warts after one month and additional patients were rid of their warts after two months. The reported results of the study included this table.
(a) The researchers say they did a chi-square test on this table. Explain why that makes no sense. Then make a correct two-way table displaying the results of the experiment.
(b) Explain why it is not appropriate to use a chi-square test in this setting even with the correct two-way table.
The appropriate null hypothesis for performing a chi-square test is that
(a) equal proportions of female and male teenagers are almost certain they will be married in years.
(b) there is no difference between female and male teenagers in this sample in their distributions of opinions about marriage.
(c) there is no difference between female and male teenagers in the population in their distributions of opinions about marriage.
(d) there is no association between gender and opinion about marriage in the sample.
(e) there is no association between gender and opinion about marriage in the population.
Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains cashews, almonds,macadamia nuts, and 8% brazil nuts. To test this claim, a quality control inspector takes a random sample of nuts from the latest batch. The one-way table below displays the sample data.
(a) State appropriate hypotheses for performing a test of the company’s claim.
b) Calculate the expected counts for each type of nut. Show your work.
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