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In Exercises 5–20, assume that the two samples are independent simple random samples selected from
5. Regular Coke and Diet Coke Data Set 26 “Cola Weights and Volumes” in Appendix B includes weights (lb) of the contents of cans of Diet Coke (n = 36,
a. Use a 0.05 significance level to test the claim that the contents of cans of Diet Coke have weights with a
b. Construct the confidence interval appropriate for the hypothesis test in part (a).
c. Can you explain why cans of Diet Coke would weigh less than cans of regular Coke?
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Chapter 9 Solutions
Essentials of Statistics (6th Edition)
Additional Math Textbook Solutions
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- Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.arrow_forwardA manufacturer knows that their items lifespans are normally distributed according to N(5.1,1.5)N(5.1,1.5).What proportion of the items' lifespans will be longer than 6 years?arrow_forwardThe figure below is a histogram showing the distribution of serum cholesterol level for a sample of men. Use the histogram to answer the following questions:a) Is the percentage of men with cholesterol levels above 240 mg/dL closest to 30%, 50%, or 70%?b) In which interval are there more men: 240–260 mg/dL or 280–340 mg/dL?arrow_forward
- 3arrow_forwardPlease review Section 11.1. Are you an impulse shopper? A survey of 1000 grocery shoppers indicated that 40% of males and 57% of females make an impulse purchase every time they shop. Assume that the survey consisted of 500 males and 500 females. Let group 1 be the males and let group 2 be the females.Ho : pie = pieH1 : pie /= pieCalculate the test statistic: (Round to three decimal places as needed.)Determine the critical value: (Round to three decimal places as needed.)State the Conclusion:arrow_forwardThe American Mineralogist (Oct. 2009) published a study of the evolution of uranium minerals in the Earth's crust. Researchers estimate that the trace amount of uranium x in reservoirs follows a uniform distribution ranging between 1 and 3 parts per million. Complete parts a through c. a. Find E(x) and interpret its value. Select the correct answer below and fill in the answer box to complete your choice. (Simplify your answer.) O A. E(X)= This value gives the minimum parts per million of uranium for the collection of all reservoirs on the Earth. O B. E(X)= This value gives the maximum parts per million of uranium for the collection of all reservoirs on the Earth. O C. E(x)= This value gives the mean parts per million of uranium for the collection of all reservoirs on the Earth. O D. E(X)= This value gives the mean parts per million of uranium in each reservoir on the Earth.arrow_forward
- The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53arrow_forwardThe Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegil, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 89 122 218 71 A USE SALT In the 5-year interval, did the distribution of fish change at the 0.05 level? (a) What is the level of significance? State the null and altemate hypotheses. OH.: The distributions are the same. H.: The distributions are different. OH,: The distributions are different. H,: The distributions are different. OH,: The distributions are different. H,: The distributions are the same. O H: The distributions are the same. H,: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) O Are all the expected frequencies greater than 57 O Yes O No What sampling distribution will vou…arrow_forwardTest scores overall have a mean of 1017 and s = 207. If a college wants to admit only the top 30% of those, what score would they use as the minimum required? (Round to the appropriate whole number score). The would admit scores of ___________and above.arrow_forward
- how to find part d and earrow_forwardResearchers claim that the surface temperature of the world's oceans mainly changes with changing latitude. The warmest waters are near the equator and the coldest waters are in the Arctic and Antarctic regions. To examine this claim, an experiment has been designed and the following data has been collected from coastal areas in the southern hemisphere for 5 consecutive years in the middle of November. The recorded temperatures are all averages across the 5 years of data. Coastal ocean Surface Temperature Latitude TERENGGANGG 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 14.1 15.2 16.2 17.5 18 21 22.1 23.8 24.5 24.2 24.4 26 26.9 28.2 28.5 28.8 29.8 29.8 31.2 32.5 Coastal Air Temperature 16 17 15 15 18.5 22 24.5 24 25 26.5 30 31.6 30.4 33.5 33 32 32 33.5 34 30 Note: Temperature.xlsx is also attached. a) Convert the latitude numerical variable to a categorical variable with 4 levels (very low, low, moderate, high), using a statistical software package. Find the overall mean,…arrow_forwardCritical Thinking. For Exercises 5–20, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c) mode, (d) midrange, and then answer the given question. Football Player Numbers Listed below are the jersey numbers of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII. What do the results tell us?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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