8.40 If a light bulb manufacturing company wants to estimate, with 95% confidence, the mean life of compact fluorescent light bulbs to within ±200 hours and also assumes that the population standard deviation is 1,000 hours, how many compact fluorescent light bulbs need to be selected?
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- The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 42 seconds. would a sample of 18 fire calls with a mean response time of 7 minutes 22 seconds provide sufficient evidence to show that the goal is not being met at a=.01? choose the appropriate hypothesis a)H0:µ≤ 7 min vsH1:µ> 7 min, Reject Hθ if zcalc> 2.326 b)H0:µ≥ 7 min vsH1:µ< 7 min, Reject Hθ if z calc> 2.326The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 42 seconds. would a sample of 18 fire calls with a mean response time of 7 minutes 22 seconds provide sufficient evidence to show that the goal is not being met at a=.01? choose the appropriate hypothesis a)H0:µ≤ 7 min vsH1:µ> 7 min, Reject Hθ if zcalc> 2.326 b)H0:µ≥ 7 min vsH1:µ< 7 min, Reject Hθ if z calc> 2.326 c) Use Excel to find the p-value.(round your answer to 4 decimal places).?In a random sample of 75 eighth grade students scores on a national mathematics assessment test has a mean score of 266. The test result prompts a state school administration to declare that the mean score for the stated eighth graders on this exam is more than 260. Assume the population standard deviation is 34. At a=0.09, is there enough evidence to support the administrations claim? Write the claim mathematically and identify Ho and Ha Find the standardized test statistic z, and its corresponding area
- A computer monitors and records how many rings it takes for an operator at a large food products company to answer, how much time each caller spends "on hold," and other data. As a check on the computer system, approximately how many calls should be manually monitored during the next year to estimate the true mean time that callers spend on hold to within 2 seconds with 90% confidence? Answer this question for the following values of the standard deviation of waiting times (in seconds): 10, 17, and 24. Question content area bottom Part 1 The company must sample enter your response here calls in order to estimate the true mean time that callers spend on hold to within 2 seconds with 90% confidence and a waiting time standard deviation of 10 seconds.A computer monitors and records how many rings it takes for an operator at a large food products company to answer, how much time each caller spends "on hold," and other data. As a check on the computer system, approximately how many calls should be manually monitored during the next year to estimate the true mean time that callers spend on hold to within 1 seconds with 90% confidence? Answer this question for the following values of the standard deviation of waiting times (in seconds): 4, 11, and 18. Question content area bottom Part 1 The company must sample enter your response here calls in order to estimate the true mean time that callers spend on hold to within 1 second with 90% confidence and a waiting time standard deviation of 4 seconds. (Round up to the nearest integer.)The article “Approximate Methods for Estimating Hysteretic Energy Demand on PlanAsymmetric Buildings” (M. Rathhore, A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering, 2011: 99–123) presents a method, based on a modal pushover analysis, of estimating the hysteretic energy demand placed on a structure by an earthquake. A sample of 18 measurements had a mean error of 457.8 kNm with a standard deviation of 317.7 kNm. An engineer claims that the method is unbiased, in other words, that the mean error is 0. Can you conclude that this claim is false?
- A manufacturing company regularly consumes a special type of glue pur-chased from a foreign supplier. Because the supplier is foreign, the time gap betweenplacing an order and receiving the shipment against that order is long and uncertain.This time gap is called “lead time.” From past experience, the materials manager notesthat the company’s demand for glue during the uncertain lead time is normally dis-tributed with a mean of 187.6 gallons and a standard deviation of 12.4 gallons. Thecompany follows a policy of placing an order when the glue stock falls to a pre-determined value called the “reorder point.” Note that if the reorder point is x gallonsand the demand during lead time exceeds x gallons, the glue would go “stock-out” andthe production process would have to stop. Stock-out conditions are therefore serious.a. If the reorder point is kept at 187.6 gallons (equal to the mean demand duringlead time) what is the probability that a stock-out condition would occur?b. If the…The Scottsdale fire department aims to respond to fire calls in 8 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 48 seconds. Would a sample of 18 fire calls with a mean response time of 8 minutes 49 seconds provide sufficient evidence to show that the goal is not being met at α = .01? (a) Choose the appropriate hypotheses. H0: µ ≤ 8 min vs H1: µ > 8 min, Reject H0 if zcalc > 2.326 H0: µ ≥ 8 min vs H1: µ < 8 min, Reject H0 if zcalc > 2.326 a b (b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.) zcalc _________ (c) Use Excel to find the p-value. (Round your answer to 4 decimal places.) p-value _________ (d) If α = .01, we would Fail to reject the null hypothesis. Reject the null hypothesis.What price do farmers get for their seedless watermelon crops? In a recent month, a simple random sample of 31 farming regions gave a sample mean of $12.15 per 100 pounds of seedless watermelon. Assumer that σ=$1.46 per 100 pounds. Find the sample size necessary for a 90% confidence level with a margin of error E=0.61 for the mean price per 100 pounds of seedless watermelon. (Increase to the next whole number.)
- Ackerman and Goldsmite found that students who studed tesxt from printed hardcopy had better test scores than students who studied from text presented on a screen. In a related study, a professor noticed that several students in a large class had purchased the e-book version of the course textbook. For the final exm, the overall average for the entire class was μ = 81.7 but the n = 9 students who used e-books had a mean of M = 72.2 with a standard deviation of s = 5.7 a. is the sample sufficient to condluce that scores for students using e-books were significantly different from scores for the regular class? use a two-tailed test with alpha = .05 b. Construct the 90% confidence interval to estimate the mean exam score if the entire population used e-booksA manufacturer of light bulbs claims that its light bulbs have a mean life of 1520 hours with an unknown standard deviation. A random sample of 40 such bulbs is selected for testing. If the sample produces a mean value of 1505 hours and a sample standard deviation of 86, is there sufficient evidence to claim that the mean life is significantly less than the manufacturer claimed? Assuming that light bulb lifetimes are roughly normally distributed, with LOC at 99%As a result of complaints from customers about delivery times, the manager at a pizza delivery service is ready to undertake a study to determine whether the average delivery time differs from the status quo of 30 minutes. State the null and alternative hypotheses.