A motorcycle service manage has been using a model that can run an average top speed of 45 kph. A new model is being considered to replace all the motorcycle in service. Then, the company manager gained access to data of 16 motorcycles of the new model and computed the following statistics: Mean = 43.5 kph, Standard dev = 3.0 kph. At alpha = 0.05, does sample evidence indicate that the average top speed of the new motorcycle is greater than 45 kph? Note: Explicitly perform all necessary CS Scannedwith GomScanner stops in hypothesis testing
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- The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. Each metropolitan statistical area has at least one urbanized area of 50,000 or more inhabitants. The data in Sheet 10 are the rental vacancy rates (%) for metropolitan statistical area in four geographic regions of the U.S. for the first quarter of 2008. Use alpha = 0.05 to test whether the mean vacancy rate is the same for each geographic region. Sheet 10 Midwest Northeast South West 16,2 2,7 16,6 7,9 10,1 11,5 8,5 6,6 8,6 6,6 12,1 6,9 12,3 7,9 9,8 5,6 10 5,3 9,3 4,3 16,9 10,7 9,1 15,2 16,9 8,6 5,6 5,7 5,4 5,5 9,4 4 18,1 12,7 11,6 12,3 11,9 8,3 15,6 3,6 11 6,7 18,3 11 9,6 14,2 13,4 12,1 7,6 1,7 6,5 8,7 12,9 3,6 11,4 5 12,2 11,5 13,1 4,7 13,6 16,3 4,4 3,3 8,2 3,4 24 5,5 12,2 22,6 12 14,5 12,6 9,5 10,1 Select one: a) Sum of Squares Between Groups = 376.87 >…The valve pressure was tested on 250 engines and the mean pressure was 5.9 lbs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs about the specifications?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 .
- 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…one study of smokers who tried to quit smoking with nicotine path therapy, 38 were smoking one year after the treatment, and 32 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking a year after the treatment. a. Define the parameter A. mu = The mean number of smokers who used the patch and were smoking a year after the treatment B. mu = The proportion of all smokers who used the patch and were smoking a year after the treatment C. p = The proportion of all smokers who used the patch and were not smoking a year after the treatment D. p = The proportion of all smokers who used the patch and were smoking a year after the treatment b. State the null and alternative hypotheses A. Upper H 0 : p equals 38 Upper H 1 : p less than 38 B. Upper H 0 : p…
- A doctor at a hospital read that a newborn baby loses an average of 7 ounces in weight in the first 2 days of its life. The doctor feels it is less than that in his hospital. A random sample of 32 babies had a mean weight loss of 6.5 ounces with std deviation of 1.8 ounces for the population. Test at the alpha = .01 level.A sample of 12 Maxfli XS golf balls have an average diameter of 1.681 inches with a standard deviation of 0.004 inches . Assuming we have Normal data, test the claim that the mean diameter of all Maxfli XS golf balls equals to 1.68 inches which is the standard set by the Golf Association ). Use alpha = 0.10 as the significance level.An engineer wants to compare the tensile strengths of steel bars that are produced using a conventional method and an experimental method. (The tensile strength of a metal is a measure of its ability to resist tearing when pulled lengthwise.) To do so, the engineer randomly selects steel bars that are manufactured using each method and records the following tensile strengths (in Newtons per square millimeter). At α=.10, can the engineer claim that the experimental method produces steel with greater mean tensile strength? Should the engineer recommend using the experimental method? First use the F test to determine whether or not to use equal variances in choosing the model.(??? ????? ?? ???? ?̅ ??? ? ??? ???ℎ ???ℎ??) Experimental 395 389 421 394 407 411 389 402 422 416 402 408 400 386 411 405 389 Conventional 362 352 380…
- Following maintenance and calibration, an extrusion machine produces aluminum tubing with a mean outside diameter of 2.500 inches. As the machine functions over an extended number of work shifts the combination accumulated deposits and mechanical wear causes the mean diameter to drift away from the desired 2.500 inches. For a recent random sample of thirty-four tubes, the mean diameter was 2.491 inches and the standard deviation was 0.027 inches. Does the machine appear to be in need of maintenance and calibration (use α = 0.01)? Also, determine the p-value for the test. A. Provide the hypothesis B. Provide the test statistics formula C. Conduct the calculations and provide results D. Discuss the decision of whether or not to reject the hypothesis E. Discuss the business conclusionFollowing maintenance and calibration, an extrusion machine produces aluminum tubing with a mean outside diameter of 2.500 inches. As the machine functions over an extended number of work shifts the combination accumulated deposits and mechanical wear causes the mean diameter to drift away from the desired 2.500 inches. For a recent random sample of thirty-four tubes, the mean diameter was 2.491 inches and the standard deviation was 0.027 inches. Does the machine appear to be in need of maintenance and calibration (use α = 0.01)? Also, determine the p-value for the test. a. Provide the hypothesis (2 Points) b. Provide the test statistics formula(s) (3 Points) c. Conduct the calculations and provide results (6 Points) d. Discuss the decision of whether or not rejecting the hypothesis (2 Points) e. Discuss the business conclusion (2 Points)Two competing internet routers, A and B, are being compared for the transmission speeds they can achieve for a random selection of transmitted files. The company which produces router A claims that its transmission speed exceeds that of router B. To compare, 1000 randomly selected file transmissions are monitored for each router. The sample mean and sample standard deviation of the transmission speed for router A was determined to be 10.04 and 0.987 GB/sec, respectively, while the same parameters for router B were 8.972 and 1.032 GB/sec, respectively. a) Is it reasonable to assume that the true standard deviations are known? Why or why not? b) Construct a 95% confidence interval on the mean transmission speed for router A. c) Construct a 95% confidence interval on the mean transmission speed for router B. d) By constructing a 95% confidence interval on the difference between the means, would you say that the claim made by the company producing router A is reasonable?