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- A car manufacturer claims that less than 10% of its cars should need repairs in the first three years of their life, the warranty period. A random sample of 50 three-year-old cars found that 8 had required attention. Does this contradict the maker’s claim? Test the car manufacturer’s claim. b) Find the critical value and the rejection region to test the hypothesis at the 10% significance level.A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem. Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…A medical team wanted to learn if children between 5 and 17 years old in an area known for high lead contamination have higher lead concentrations in their blood than children between 5 and 17 years old in an area 20 miles away from the first area. (Note: Sampling revealed that lead is only present in the environment at extremely low levels in the second area.) After analyzing blood samples that were collected from children in both regions (under a protocol approved for high ethical standards), an (unpaired/randomized) t-test (data met the assumptions) resulted in a p-value of 0.423. Subsequently, one of the researchers noticed that by chance the ages of the children in the study happened to mean that there was exactly one child of each of the following ages at both of the locations: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 years old. Therefore, they were able to run a paired analysis, with blocking by age. The data met the assumption of the paired t-test, which yielded a p-value…
- A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Specify the competing hypotheses to test the manufacturer's claim. Calculate the value of the relevant test statistic. Compute the p-value.A random sample of 54 students from a college are selected from a normal population with mu equal to 20 and sigma equal to 5. After a treatment is administered to the students, the researcher calculated the sample mean to be 21. Is there enough evidence to conclude that the treatment had a significant effect at the 5% significance level? What is the alternative hypothesis?Eleven percent of the products produced by an industrial process over the past several months have failed to conform to specifications. The company modifies the process in an attempt to reduce the rate of nonconformities. In a random sample of 300 items from a trial run, the modified process produces16 nonconforming items. Do these results provide convincing evidence that the modification is effective? Support your conclusion with a test of significance. BoldItalicUnderline
- In a study of 420,052 cell phone users, 131 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Use the P-value method and the normal distribution as an approximation to the binomial distribution.In a study of 420,115 cell phone users, 128 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.Question content area bottomPart 1Which of the following is the hypothesis test to be conducted?A.H0: p≠0.00034H1: p=0.00034B.H0: p=0.00034H1: p≠0.00034C.H0: p>0.00034H1: p=0.00034D.H0: p=0.00034H1: p<0.00034E.H0: p=0.00034H1: p>0.00034F.H0:…In a study of 420,056 cell phone users, 100 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
- The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375.00 hours at a 95.00% confidence level. The STDEV.P = 100.00 hours. A random sample of 64 light bulbs indicate a MEAN.S of 350.00 hours. What will be the hypothesis of the study? What will be the area of rejection in this study using the Z Stat critical value? Create the statement of rejection and non-rejection based upon the Z Stat value and the Z Stat critical value What will be the conclusion of the study? (check figure: Z Stat = -2.00)In a study of 420,110 cell phone users, 125 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. 1. What is the test statistic? z= ______ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _____ (Round to four decimal places as needed.) 3. What is the conclusion on the null hypothesis? A. Reject…In previous years, 46% of candidates taking a Business Analytics exam have passed and have therefore been exempt from one prerequisite course. Resources made available such as tutoring and library prep books have improved the passing rates of candidates. In a sample of 300 recent applicants, 150 passed the exam. At the 0.01 level of significance, can we conclude that the proportion of candidates passing the exam has increased? Determine and interpret the p value for the test.