Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of 30 cars from each manufacturer is selected, and 30 drivers are selected to drive each automobile for a specified distance. Download the data file that contains the results of the test (in miles per gallon). Assume the population of differences is normally distributed. (hint: Matched sample)
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- The Excel file Room Inspection provides data for 100 room inspections at 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Test an appropriate hypothesis to determine if management can make this claim.A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.The dataset lowbwt.dat contains information collected for a sample of 100 low birth weight infants. Measurements of systolic blood pressure are saved under the variable sbp. Values of the Apgar score recorded five minutes after birth (a measure of neonatal oxygen deprivation) are saved under the variable apgar5. sbp apgar543 751 842 039 848 731 031 740 957 664 946 747 663 856 149 887 746 866 842 852 751 747 954 464 937 736 345 739 729 461 353 764 735 634 962 759 836 947 845 262 575 744 039 848 743 619 463 742 644 925 826 827 935 840 744 666 859 324 740 349 553 945 950 864 748 648 458 767 840 848 836 544 653 945 654 844 242 550 048 529 530 236 044 046 951 451 543 748 552 843 642 848 549 862 745 951…
- A sample of people attending a professional football game averages 13.7 years of formal education. The surrounding community is estimated to have a mean education of 12.1 years. Which test should be used to see if this sample of game attendees is different from the larger population of residents?Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
- Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .For each scenario, indicate whether the parameter of interest is one proportion , a difference in two proportions , one mean (μ), a difference in means from separate samples , or the mean difference from matched pairs data, . Each answer can be selected once, more than once, or not at all. A tire manufacturer tested the braking performance of one of its tire models on a test track, interested in how tires perform under both wet and dry pavement conditions. The company tried the tires on 18 different car models, recording the stopping distance for half of them on wet pavement and the other half of dry pavement. Student Computing Services surveys a random sample of students to compare the percent of students that have PCs to the percent of students that have Macs. Married couples are asked about the number of hours of sleep they get each night. We want to see if husbands get more sleep than their wives. 36 of 75 patients receiving a treatment experienced pain relief, while only…Each year, marketing and information firm J.D. Power and Associates surveys new car owners 90 days after they have purchased their cars. The data collected are used to rate auto brands (Toyota, Ford, and others) on initial quality and initial customer satisfaction. USA Today reported both the number of manufacturing defects per 100 vehicles and a satisfaction score for all 33 brands sold in the United States.† A research group decides to compare the mean number of defects for 2 specific models of cars, A and B, made this year by taking random samples of 100 cars of each model. (a) After collecting the data, the research group calculates a 95% confidence interval to estimate the difference in population means. In this case, what is the population? all cars for models A and B that were produced this yearthe defects all cars made this yearthe 100 cars from each model (b) Suppose the calculated confidence interval is (84, 92) number of defects. What is the value of the point…
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