included in the confidence interval range, Since the we can conclude that there is the manufacture's claim at a 10% significance level.
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- The Ball Corporation’s beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ 5 .000959 mm. If a random sample of 58 sheets of metal resulted in x− 5 0.2731 mm, calculate the 99 percent confidence interval for the true mean metal thickness.The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000780 mm. Assume a random sample of 49 sheets of metal resulted in an x¯x¯ = .1503 mm. Calculate the 99 percent confidence interval for the true mean metal thickness.A trucking fleet-owner owns two semi-trucks and wishes to compare the amount of fuel used per week by the two vehicles. In a random sample of 100 weeks, truck #1 used a mean volume of 340 gallons with a standard deviation of 11 gallons. In a second, independent random sample of 100 weeks, truck #2 used a mean volume of 331 gallons with standard deviation 6 gallons.It is of interest to construct a confidence interval for the difference in population means using a confidence level of 90 percent. ?1−?2, where ?1 is the mean fuel volume used by truck #1 and ?2 is the mean volume of fuel used by truck #2. Note: 340−331=9 and 112100+62100‾‾‾‾‾‾‾‾‾‾‾√=1.25299640861417 Your answers below should be entered as numbers. Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places. (a) The estimate is: gallons. (b) The standard error is: gallons. (c) The multiplier is: .
- A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain areawho favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, theconfidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that thesample proportion does not change, what would be the relationship between the width of the original confidenceinterval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000viewers in the area?(A) The second confidence interval would be 9 times as wide as the original confidence interval.(B) The second confidence interval would be 3 times as wide as the original confidence interval.(C) The width of the second confidence interval would be equal to the width of the original confidence interval.(D) The second confidence interval would be 1/3 as wide as the original confidence interval.(E) The second…A manufacturing company claims that the mean lifetime of bulbs produced was at least 160 hours. In a random sample of 100 bulbs produced, the sample mean lifetime of bulbs was 150 hours and the sample standard deviation was 25 hours. (i)Construct a 95% confidence interval for the mean lifetime of bulbs produced.(ii)Construct a 99% confidence interval for the mean lifetime of bulbs produced.(iii)Calculate the width of confidence interval in (a) and (b). Interpret the result.An athlete has just been drafted by both the NBA to play professional basketball and by MLB to play professional baseball. In order to assist him in deciding which offer to pursue, he enlists a statistician to test whether or not NBA athletes or MLB athletes are more likely to suffer a concussion. The statistician believes that athletes in both leagues are equally likely to suffer a concussion, but decides to test this belief at the alpha = 0.05level of significance using a confidence interval. Let p N represent the proportion of NBA players that have suffered from a concussion and represent the proportion of MLB players that have suffered from a concussion.(Round your results to three decimal places ) 1. Which would be correct hypotheses for this test? O H 0 :p N =p M ,H 1 :p N <p M OH H 0 :p N =p M ,H 1 :p N >p M OH H O :p N ne p M ,H 1 :p N >p M O H 0 :p N =p M ,H 1 :p N ne p M 2. If we are going to test this using a confidence interval, which confidence interval should we…
- The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000652 mm. Assume a random sample of 52 sheets of metal resulted in an x¯x¯ = .3373 mm. Calculate the 95 percent confidence interval for the true mean metal thickness. The 95% confidence interval is from _____ to ______.A factory produces steel sheets whose weights are known to be normallydistributed with a standard deviation of 1.7kg. A random sample of 47 sheetshad a mean weight of 27.3kg. Construct a 95% confidence interval for thepopulation mean.A study conducted to examine the age of commercial jets in the United States sampled 36 planes and found the average age to be 12.6 years with a standard deviation of 2.7 a. Calculate and interpret a 90% confidence interval for the average age of commercial jets in the United States. b. A report in USA Today claimed that the mean age of commercial jets in the United States was 14 years. Using the confidence interval in (a), is there enough evidence to refute this claim?
- An athlete has just been dealted by both the NBA to play professional basketball and by to play professional baseball, In order to assist him in deciding which offer to pursue, he enlists a statistician to whether or not NBA athletes or MLB athletes are more likely to suffer a concussion. The statistician believes that athletes in both leagues are equally likely to suffer a concussion, but decides to test this belief at the alpha = 0.05 level of significance using a confidence interval. Let PN represent the proportion of NBA players that have suffered from a concussion and represent the proportion of MLB players that have suffered from a concussion. (Round your results to three decimal places) 1.Which would be correct hypotheses for this test? O H 0 :p N =p M ,H 1 ;p N ne p M O H O :p N ne p M H 1 :p N >p M l 0 :p N =p M ,H 1 :p N <p M O H 0 :p N =p N ,H 1 : mathfrak p N >p M O 2. If we are going test this using a confidence interval, which confidence literval should we…A random sample of 240 adults over the age of 40 found that 144 would use an online dating service. Another random sample of 234 adults age 40 and under showed that 131 would use an online dating service. Assuming all conditions are met, which of the following is the standard error for a 90 percent confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service?The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. a) Develop a point estimate of the difference between the population mean remodeling costs for the two types of projects.b) Develop a 90% confidence interval for the difference between the two population means.
