An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in halfcach of eight small plots of land in different locations and plant each tomato variety on one half of cach plot. After harvest,they compare the yields in pounds per plant at each location considering the eight differences (Variety A - Variety B).After conducting the one-sample test, the tomato experts were not able to reject the null hypothesis. They suspect that therelative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.3pound per plant at the 0.05 significance. Use 0.51 as an estimate of both the population standard deviation o and the value ofthe sample standard deviation s in future samples.What is the power of the test withn=10 for the alternative u= 0.3?(Use decimal notation. Give your answer to two decimal places.)power:

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Answered: An agricultural field trial compares…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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If the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A?
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 215215 of the new racecar engines and 240240 of the old engines. They found that 2222 of the new racecar engines and 1010 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1α=0.1 for the test. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance. 19a. Step 2: Compute the df and locate the critical values. df = _______ Critical value = ________
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance. 19. Step 1: Which of the following is the correct set of hypotheses?A. H0: The preferences will not match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will match production B. H0: \mu_{1}μ1 = \mu_{2}μ2 = \mu_{3}μ3; and H1: At least one of the categories will be different than the others C. H0: The preferences will match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will not match production 19b. Step 2: Compute the df and locate the…
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance. 19. Step 3: Compute the test statistic -- Chi-square χ2 = (use 2 decimal places) _____________ Step 4: Decision and Conclusions 19. Step 4: Decision: A. Reject H0 B. Retain H0 19. Step 5: Conclusion: Did the production of the premium lagers match consumer preferences? A. Yes. The observed frequencies did not differ from the expected frequencies. B. No. The observed frequencies differed from the expected frequencies.
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance.
A local dairy conducted taste tests of their nonfat and low fat cream cheese spreads at three supermarkets on one Saturday. They asked people to compare a cracker with their low fat spread on it and another cracker with the nationally known brand of the same type of spread. At one supermarket, everyone who came to the testing table, located just inside by the front door, and asked to participate was included. At a second market, only people who appeared to be older teenagers and adults were allowed to participate. The testing table was in the section of the store where paper goods are sold. At the third store, the testing table was in the dairy section and everyone who was asked to participate was included. However, they ran out of one of the products and had to stop the test three hours earlier than they planned. The table below shows how many people were tested at each location and their stated preferences Store A Store B Store C Number tasters = 258Number preferring local brand…
In a public opinion survey, 60 out of a sample of 100 high income voters and 40 out of a sample of 75 low income voters supported a decrease in value added tax VAT. Conclude at the 5% level of significance that the proportion of voters favoring a VAT Degrees difference between high and low income voters. (Where P1 is the proportion of all high income voters who is supported a decrease in VAT, p2 is the same for the low income voters ). The value of the test statistic to test the hypothesis is _____ and hence _____ A. T = - 0.668,accept H0 B. T = - 4.117,reject H0 C. Z= 0.882,accept H0 D. T = 2.313,reject H0 E. Z = 0.882,reject H0
Suppose a study was conducted to compare the sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.8%, while this proportion is 7% for Oregon residents. These data are based on simple random samples of 1,545 California and 1,460 Oregon adult residents. a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. Use California as Group A and Oregon as Group B.Test statistic (Round to 4 decimal places): p-value (round to 4 decimal places): Conclusion at the 5% level of significance: We accept the null hypothesis. We reject the null hypothesis. We fail to reject the null hypothesis. b) It is possible the conclusion of the test in part (a) is incorrect (contradicts with the reality). If this is the case, what type of error was made? Type I Error Type III Error Type II Error A…
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 165165 of the new racecar engines and 145145 of the old engines. They found that 1818 of the new racecar engines and 1212 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01α=0.01 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6: Find the vales of the two sample proportions P1 and P2.Round your answers three decimal places. Step 3 of 6: Compute the weighted estimate p. p(line above). Round your answers to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two…
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(�1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(�2). To test this statement, NASCAR took a random sample of 235235 of the new racecar engines and 190190 of the old engines. They found that 2424 of the new racecar engines and 1111 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1�=0.1 for the test.
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let pˆOp^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆNp^N represent the sample proportion of bags packaged on the new machine that are damaged, pˆCp^C represent the combined proportion of damaged bags from both machines, and nOnO and nNnN represent the respective sample sizes for the old machine and new machine. Have the conditions for statistical inference for testing a difference in population proportions been met? No, the condition for independence has not been met, because random samples were not selected. A No, the…

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