A random sample of 20 daily workers of State A was found to have average daily earning of dollar 44 with sample variance 900. Another sample of 20 daily workers from State B was found to earn on an average dollar 30 per day with sample variance 400. Test whether the workers in State A are earning more than those in State B.
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- Consider two independent samples — the first of size 10 from a normalpopulation having variance 4 and the second of size 5 from a normalpopulation having variance 2. Compute the probability that the samplevariance from the second sample exceeds the one from the first.The Occupational Safety and Health Administration (OSHA) mandates certain regulations that have to be adopted by corporations. Prior to the implementation of the OSHA program, a company found that for a sample of 40 randomly selected months, the mean employee time lost due to job-related accidents was 45 hours. After implementation of the OSHA program, for a random sample of 45 months, the mean employee time lost due to job-related accidents was 39 hours. It can be assumed that the variability of time lost due to accidents is about the same before and after implementation of the OSHA program (with a standard deviation being 3.5 hours). Find a 90% confidence interval for the difference in the mean time lost due to accidents. Test the hypothesis that implementation of the OSHA program has reduced the mean employee lost time. Use a level of significance of 0.10.The human resources department of a large investment bank announced that the number of people it interviews monthly has a mean of 105, with a variance of 262.44. The management of the bank suspects that the variance exceeds 262.44. Suppose that the management wants to take a small sample of months and carry out a hypothesis test to see if it's suspicious have support. State the thanks hypothesis Ho and alternative hypothesis H1 that it would use for this test.
- When might we want to test a non-directional (two-tailed) hypothesis, as opposed to a one-tailed hypothesis? How many different conditions are seen in a paired-samples T-test design?In a random sample of Formula 1 drivers, 161 were European and 39 were not. Use a 0.05 significance level to test the claim that fewer than a quarter of Formula 1 drivers are not European.The following table shows the results of two random samples that measured the average number of minutesper charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH)rechargeable batteries. Perform a hypothesis test using α =0.05 to determine if the average number ofminutes per charge for Li-ion batteries last longer than NiMH batteries. Assume the population variances forthe number of minutes per charge are unequal.Li-ion NiMH110 8798. 9290 9087. 8992 89101 8898 8788 9187 9299 86100. 88103 9089 92105 90909781 1)State the hypotheses. 2) Compute the test statistic and Compute the p-value. 3) Make the decision and Summarize the results.
- A manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a claim about the percentage of nondefective CD players and is prepared to exaggerate. What is the highest rate of nondefective CD players that the manufacturer could claim under the following condition? His claim would not be rejected at the 0.05 significance level if this sample data were used. Assume that a left-tailed hypothesis test would be performed.For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment, dftotal = 29. True False