A washing machine manufacturer advertises that the median life of the machines is at least 8 years. A consumer advocacy group located 20 of these machines and found that 12 of them actually lasted less than 8 years, with none of them lasting exactly 8 years. At α α =0.05, test the claim that the median life is less than 8 hours. A. What is the test statistic? B. What is the critical value? C. What is the decision?
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- A washing machine manufacturer advertises that the median life of the machines is at least 8 years. A consumer advocacy group located 20 of these machines and found that 12 of them actually lasted less than 8 years, with none of them lasting exactly 8 years. At α =0.05, test the claim that the median life is less than 8 hours. A. What is the test statistic? B. What is the critical value?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.A researcher did a one-tailed one-sample t-test to test the hypothesis that babies prefer the color blue over the color red. He collected a sample of 26 babies and presented them with a red plastic star and a blue plastic start for 12 seconds. The researcher measured the amount of time each baby spent watching the blue star out of the 12 seconds. What is the critical t value, assuming the alpha level used was .05?
- A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at most 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At α = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582 What is the critical value of the t?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.A series of tests of fire prevention sprinkler systems that use a foaming agent to quell the fire were performed to determine how long it took (in seconds) for the sprinklers to be activated after the detection of a fire by the system. The system has been designed so that the true average activation time is supposed to be at most 25 seconds. Do the data strongly indicate that the design specifications have not been met? The data for the test are given below: 27 41 22 27 23 35 30 33 24 27 28 22 24
- Is there a relationship between taking vitamin C and getting the cold? Of 57 people taking Vitamin C, 36 had a cold within the past 3 months; of 46 people who do not take Vitamin C supplements, 30 had a cold within the past 3 months. What are the expected frequencies within each cell? (Round each to two decimal places), critical value ( alpha0.5), test statistic, and conclusion? Had a cold Did not have a cold Marginal Total Take Vitamin C supplement Do not take Vitamin C supplement Marginal TotalThe operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). a)Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…
- State the t critical value that would be used for a 99% interval based on a sample size of 37.A nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionLet X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?