CHAPTER 8 Chapter Quick Quiz 433 11. Section 8-3, Exercise 23 “Cell Phone Radiation” 12.Section 8-3, Exercise 24 “Dollar Coins” 13. Randomization with Standard Deviation When dealing with a single list of sample data, hypothesis testing with randomization requires that we modify the original sample data to conform to the assumption used for the null hypothesis. When testing a claim about s with sample data having standard deviation s, we can multiply each sample data value by s>s so that the sample has a standard deviation of s as required. We can then resample the modified data set to find the number of resamples having standard deviations that are at least as extreme as the value of s from the original sample. Apply this method to repeat Example 4 using randomization. How do the results using randomization compare to those obtained from Example 1 in Section 8-4? What does that comparison suggest about the effectiveness of randomness in this case? 14.Randomization Data Set The solution to Exercise 9 included the count of 53 as the number of resamplings with a mean of 11.05mg>g or less. Repeat Exercise 9 many more times (such as 100) and record the counts of the numbers of resamplings with a mean of 11.05mg>g or less. Explore this new data set and identify the mean, standard deviation, range, minimum, maximum, nature of the distribution, and identify any outliers. Comment on the results. 8-5 Beyond the Basics 1.Discarded Plastic Data Set 42 “Garbage Weight” includes weights (pounds) of discarded plastic from 62 different households. Those 62 weights have a mean of 1.911 pounds and a standard deviation of 1.065 pounds. We want to use a 0.05 level of significance to test the claim that this sample is from a population with a mean less than 2.000 pounds. Identify the null hypothesis and alternative hypothesis. 2. Discarded Plastic Find the test statistic used for the hypothesis test described in Exercise 1. 3.Discarded Plastic a. What distribution is used for the hypothesis test described in Exercise 1? b. For the hypothesis test described in Exercise 1, is it necessary to determine whether the 62 weights appear to be from a population having a normal distribution? Why or why not? 4.Discarded Plastic The P-value for the hypothesis test described in Exercise 1 is 0.2565. a. What should be concluded about the null hypothesis? b. What is the final conclusion that addresses the original claim? 5.Streaming Devices A Leichtman Research Group survey of 1150 TV households showed that 49% of them had at least one stand-alone streaming device. We want to use these results with a 0.01 significance level to test the claim that for the population of all homes, more than 45% have streaming devices. Identify the null hypothesis and alternative hypothesis. 6. Streaming Devices Find the test statistic used for the hypothesis test described in Exercise 5. 7.Streaming Devices The P-value for the hypothesis test described in Exercise 5 is 0.0029. a. What should be concluded about the null hypothesis? b. What is the final conclusion that addresses the original claim? Chapter Quick Quiz
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