How likely would it be that a random sample of 36 40-pound bags of dog food would have a mean of more than of 8.4 grams of Melamine per bag? All bags have at least 8 grams 0.05 0.50 None of the bags will have less than 8 grams
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- Researchers conducted a prospective cohort study to assess the association between dietary supplements and cognitive ability among children. A total of 500 children age 12-17 years who take an omega-3 fatty acid supplement are compared with 500 children age 12-17 years who do not take an omega-3 fatty acid supplement. Researchers follow the children for 2 years. During this time, 300 children who take the supplement earn what is classified as a “high” score on a cognitive test while 200 children who do not take the supplement earn what is classified as a “high” score on the same cognitive test. Show calculations. a) Construct a 2x2 table from the information presented above b) The risk difference is:18. Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Breweryemployee William Gosset, who first developed the t distribution), he recorded the ages of randomlyselected passenger cars and randomly selected taxis. The ages can be found from thelicense plates. (There is no end to the fun of traveling with the author.) The ages (in years) arelisted below. We might expect that taxis would be newer, so test the claim that the mean age ofcars is greater than the mean age of taxis.We are interested in analysing the effect of the lockout laws introduced in some areas of the Sydney CBD and nearby surrounds on the number of alcohol-related violent incidents. Suppose we have two samples of data on the number of violent incidents in a number of local areas of the Sydney CBD and nearby surrounds. Pubs, hotels and clubs located in a subset of these areas became subject to the lockout laws when they were introduced in 2014. The first sample is from 2010 before the introduction of the lockout laws, and the second is from 2015 after the introduction of the law. The hypothesis we wish to test is that the introduction of the lockout laws reduces violent incidents in the areas in which the lockout laws were put in place. We use a difference-in-difference model on the pooled data from 2010 and 2015. We find the following results: viol_inc hat = 33.21 (5.29) + 12.43lockout (7.01) – 4.19Yr2015 (2.98) – 3.32 (lockout x Yr2015) (1.85) N = 181, R^2 = 0.128 Where: viol_incis the…
- 10.61 The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee beverages. The question to be determined is how much to cut prices to increase the daily customer count without reducing the gross margin on coffee sales too much. You decide to carry out an experiment in a sample of 24 stores where customer counts have been running almost exactly at the national average of 900. In 6 of the stores, the price of a small coffee will now be $0.59, in 6 stores the price of a small coffee will now be $0.69, in 6 stores, the price of a small coffee will now be $0.79, and in 6 stores, the price of a small coffee will now be $0.89. After four weeks of selling the coffee at the new price, the daily customer count in the stores was recorded and stored in . At the 0.05…PLS ANSWER Q5 and Q6The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450 employed persons and 477 unemployed persons are independently and randomly selected, and that 291 of the employed persons and 242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.05 for the test. Step 3 of 6 : Compute the weighted estimate of p, p‾ . Round your answer to three decimal places.
- The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450 employed persons and 477 unemployed persons are independently and randomly selected, and that 291 of the employed persons and 242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.05 for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1 and pˆ2 . Round your answers to three decimal places.The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450 employed persons and 477 unemployed persons are independently and randomly selected, and that 291 of the employed persons and 242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.05 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test.The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450 employed persons and 477 unemployed persons are independently and randomly selected, and that 291 of the employed persons and 242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.05 for the test. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.
- Pharmaceutical companies promote their prescription drugs using television advertising. In a survey of 90 randomly sampled television viewers, 9 indicated that they asked their physician about using a prescription drug they saw advertised on TV. Develop a 90% confidence interval for the proportion of viewers who discussed a drug seen on TV with their physician. (Round your answers to 3 decimal places.) Is it reasonable to conclude that 30% of the viewers discuss an advertised drug with their physician?(Ch8) True or False? With a given sample, when we lower the confidence level, it will reduce the width of a confidence interval of the population proportion.An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 1 of 2 : Suppose a sample of 1313 new car buyers is drawn. Of those sampled, 341 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.