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- ch 11 end. 6: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?Your statistics instructor often ponders the relationship between commute time and job satisfaction while driving back and forth to campus. Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction. Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies: Table 2: Commuters by Length of Commute and Job Satisfaction Job Satisfaction Number Who Commute 20 Minutes or Less Number Who Commute 21 to 40 Minutes Number Who Commute 41 Minutes or More Total Number for Each Level of Job Satisfaction Dissatisfied 10 60 140 210 Neutral 45 59 51 155 Satisfied 145 60 30 235 Total Number for Each Commute Time Range 200 179 221 1. Change frequencies to column percentages.According to data from the Tobacco Institute Testing Laboratory, a certain brand of cigarette contains an average of 1.4 milligrams of nicotine. An advocacy group questions this figure, and commissions an independent test to see if the the mean nicotine content is higher than the industry laboratory claims. The test involved randomly selecting n = 15 cigarettes, measuring the nicotine content (in milligrams) of each cigarette. The data is given below: 1.8, 1.8, 1.5, 1.1, 1.4, 1.3, 1.3, 1.4, 1.1, 1.3, 1.6, 1.2, 1.8, 1.4, 1.6; Download .csv file Not sure how to perform some of the tasks with R-Studio? Click to learn more (a) Do the data follow an approximately Normal distribution? Use alpha = 0.05. yes (b) Determine the P-value for this Normality test, to at least three decimal places. P (c) Choose the correct statistical hypotheses. O A. Ho: > 1.4, O B. Ho = 1.4, O C. Ho X = 1.4, O D. Ho: X = 1.4, ⒸE. Ho - 1.4 HA: > 1.4 OF. Ho: X > 1.4, HA: X < 1.4 HA: < 1.4 HA: 1.4 HA: X 1.4 HA: X <…
- A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This phenomenon is known as a “big bang.”) Marilyn responded that this proportion seemed too high to be believable. Let p be the proportion of all major-league baseball games in which a “big bang” occurs. To investigate this claim, we randomly selected one week of the 2006 major-league baseball season, which turned out to be July 31-August 6, 2006. Then we examined the 95games played that week to determine which had a big bang and which did not. Of the95 games in our sample, 47 contained a big bang. Use a two-sided alternative, state the null and alternative hypothesis (in symbols and in words) for testing Marilyn’s claim. 7. Determine the test statistic and p-value. 8. What conclusion would you draw concerning Marilyn’s conjecture using the…An IO psychologist is measuring the number of items a factory worker produces during the morning, afternoon or at night. What kind of test should be used on this data?In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
- Determine whether the given description corresponds to an observational study or an experiment. In a study of 366 women with a particular disease, the subjects were monitored with an EEG while asleep. Does the given description correspond to an observational study or an experiment?The National Hurricane Center provides data that list the number of large (category 3, 4, or 5) hurricanes that have struck the United States, by decade, from 1851-2020. Is there sufficient evidence that the number of large hurricanes have remained constant (per decade)? What are the degrees of freedom? Decade Count Decade Count 1851-1860 6 1941-1950 10 1861-1870 1 1951-1960 8 1871-1880 7 1961-1970 6 1881-1890 5 1971-1980 4 1891-1900 8 1981-1990 5 1901-1910 4 1991-2000 5 1911-1920 7 2001-2010 8 1921-1930 5 2011-2020 10 1931-1940 8 Chi-squared test for given probabilitiesdata: stormsX-squared = 13.589, df = 16, p-value = 0.6293 A. 107 B. 17 C. 13.589 D. 16a report about an isolated community claims there are more newborn females than males although we assume equal frequencies for each. Records indicate 628 boys and 718 girls born in the past month. what are Ho and Ha?
- A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %A breeder of golden retriever dogs has kept records on litter size for several years. They want to know if litter size is dependent on parent age. Age of Sire 9.0 7.0 6.5 4.3 5.0 4.1 3.7 8.0 7.0 4.1 4.5 7.0 6.0 Age of Dam 2.0 2.5 4.0 3.3 6.0 5.0 4.5 4.1 8.2 2.4 2.9 3.7 4.0 Litter Size 11 10 9 12 5 9 9 8 7 10 12 10 9 b. Perform a regression analysis. Define your hypothesis, state your conclusions, and show all work.your car is more crowded than you think. table 5.8 reports results from a 1969 personal transportation survey on "home-to-work" trips in metropolitan areas. The survey stated that the average car occupancy was 1.4 people. check that calculation.