A random sample of 50 pieces of candy from a bag of assorted types is examined. Which of the following types of candy contributes the most to the chi-square statistics and why?
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A random sample of 50 pieces of candy from a bag of assorted types is examined. Which of the following types of candy contributes the most to the chi-square statistics and why?
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- A consumer testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 n y s Miles Driven 25 27 35 42 28 37 40 31 29 33 30 26 31 28 30 15 31.47 5.04 a. Place a 99% confidence interval on the average number of miles driven, m, prior to the tires wearing out. b. Is there significant evidence (a 5 .01) that the manufacturer’s claim is false? What is the level of significance of your test? Interpret your findings.If the probablitiy of being hit by lightning is 1/100,000, what is the probablitiy of not getting hit by lightning?A lawyer received a complaint from a representative for factory workers somewhere in Pampanga. The workers were being forced to work for more than 8 hours. 8 hours is the average/normal work time per day in the Philippines as stated in the Labor Code and was initially stipulated by their employer when they were hired. They also reported that they were not receiving any compensation for their overtime work. The lawyer commissioned you to conduct a survey involving 10 randomly selected workers from the factory to inquire about their work time. The data you collected is displayed below. 8 hours 6 hours 5 hours 10 hours 14 hours 3 hours 9 hours 8 hours 11 hours 14 hours Use the P-Value Approach in testing the complaint of the workers. 1) Estimate μ at 99% confidence interval. 2) If you drew the wrong conclusion and gave the labor lawyer the wrong advice, what type of error would you have committed?
- A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car Miles Driven 1 25 2 27 3 35 4 42 5 28 6 37 7 40 8 31 9 29 10 33 11 30 12 26 13 31 14 28 15 30 Average 31.47 Standard 5.04 Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.The Pew Research Group conducted a poll in which they asked, "Are you in favor of, or opposed to, executing persons as a general policy when the crime was committed while under the age of 18?" Of the 580 randomly selected Catholics surveyed, 180 indicated they favored capital punishment; of the 600 randomly selected seculars (those who do not associate with religion) surveyed, 238 favored capital punishment. State the following values: 1. Sample estimate for the seculars (2 decimal places): 2. Sample estimate for the Catholics (2 decimal places): 3. Critical value for the confidence interval: 4. Estimate of the standard error (3 decimal places): 5. Confidence interval for seculars -catholics (2 decimal places each value):The Los Angeles City Controller's office calculated that in 2013, the city employed 4703047030 full‑time employees and 1014210142 part‑time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part‑time workers into full‑time workers throughout 2014. The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per‑event employees) who are full‑time employees ?p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per‑event employees) in June 2014 and found that 845845 were full‑time employees and 155155 were part‑time employees. If the advocacy group planned to use a one‑sample z-z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be Assume…
- The Institute of Education Sciences measures the high school dropout rate as the percentageof 16-through 24-year-olds who are not enrolled in school and have not earned a high schoolcredential. Last year, the high school dropout rate was 8.1%. A polling company recently took asurvey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are highschool dropouts. The polling company would like to determine whether the dropout rate hasdecreased at a 5% significance levelIn a survey, it was found that consuming fruit juices is not as healthy as consuming fruit. It is believed that fruit juices contain artificial flavors and preservatives (Source: http://www.fda.gov/food/guidanceregulation/guidancedocumentsregulatoryinformation/labelingnutrition/ucm064880.htm). Assume that in a survey to assess whether or not people believe fruit juices contain artificial flavor, 53% believed that fruit juices contain artificial flavors. In a random sample survey of 100, construct a 95% confidence interval for the population proportion who believe that fruit juices contain artificial flavors. Do the results indicate that the majority of the population believes that they contain artificial flavors? Now modify the sample from 100 to3,600, construct a 95% confidence interval for the population proportion that believes that fruit juices contain artificial flavors. What do the results indicate now?31 travelers who took the bus to work spent an average of 1445 minutes for their commute. 30 travelers commuting by car, spent an average of 820 minutes on their commute. Is there enough evidence to suggest that the car travelers have a shorter commute time at a 1% significance level?
- Based on past records, it is generally believed that on an average, a typical University of Technology and Applied Sciences, Nizwa student spends about 25 hours in the LRC per week. Recently, the library has been shifted to a new location which is further away from the academic block. As a result, theadministration feels that students may be spending less time in the library. Accordingly a random sample of 41 students were selected and the average number of hours they spend in the library came out to be 16.78 with a standard deviation of 5.17. Carry out an appropriate test of hypotheses for the above problem to test whether the shifting of the library has adversely impacted the study time in the population of all students. (You may assume that study times/week approximately follow anormal distribution in the population).Define pros and cons of using large sample in your study? Please use law of large numbers and biased sample in your answer?31 travelers who took the bus to work spent an average of 1445 minutes for their commute. 30 travelers spent an average of 820 minutes on their commute. Is there enough evidence to suggest that the car travelers have a shorter commute time at a 1% significance level?
