We will analyze the difference in the fuel efficiency of two new brands of hybrid vehicles....
We will analyze the difference in the fuel efficiency of two new brands of hybrid vehicles. The standard deviations of these two populations are unknown, but the engineers from these companies believe that they are equal. A sample of 38 hybrid vehicles produced by Forde Motors had a mean of 70.3 MPG and standard deviation of 1.6 MPG, and a sample of 33 hybrid vehicles produced by GeM motors had a mean of 69.7 MPG and standard deviation of 4.9 MPG. A claim is made that the mean fuel efficiency of the Forde hybrid vehicle (μ1) is greater than the mean fuel efficiency of the GeM hybrid vehicle (μ2
).
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value =
(b) Use your calculator to find the P-value of this test.
P-value =
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We will analyze the difference in the fuel efficiency of
two new brands of hybrid vehicles....
Government regulators need to analyze the distance that two brands of electric cars can be driven...
Government regulators need to analyze the distance that two brands of electric cars can be driven between charges. A sample of 39 Lincomb Auto Company electric vehicles could drive a mean distance of 75.9 miles with a standard deviation of 4.1 miles. A sample of 38 Shevroley Auto Company electric vehicles could drive a mean distance of 74.3 miles with a standard deviation of 3.4 miles. A claim is made that the mean distance for Lincomb vehicles (μ1) is greater...
The average fuel efficiency of vehicles in a light weight class in 2012 was 31mpg. If...
The average fuel efficiency of vehicles in a light weight class in 2012 was 31mpg. If the standard deviation of the population (σ) was 3 and the gas ratings were normally distributed, what is the probability that the mean mpg for a randomly selected light weight vehicle is between 27mpg and 34mpg?
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these...
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records: MPG 13 41.5 50.7 36.6 37.3 34.2 45.0 48.0 43.2...
8. In a recent year the fuel economy of all passenger vehicles was 19.8 mpg. A...
8. In a recent year the fuel economy of all passenger vehicles was 19.8 mpg. A trade organization sampled 50 passenger vehicles for fuel economy and obtained a sample mean of 20.1 mpg with standard deviation 2.45 mpg. The sample mean 20.1 exceeds 19.8, but perhaps the increase is only a result of sampling error. a. Perform the relevant test of hypotheses at the 20% level of significance using the critical value approach. b. C. Compute the observed significance of...
1. When hybrid vehicles were introduced the mean time required for savings from increased fuel economy...
1. When hybrid vehicles were introduced the mean time required for savings from increased fuel economy to recover the additional initial cost was 4.2 years. To test whether it is now less an economist performed a study of 12 hybrid vehicles. The mean time cost recovery time was 3.9 years with sample standard deviation 0.6 years. The test is performed at the 1% level of significance. Assume that the population of recovery times is normally distributed. a) State the null...
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these...
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records: MPG 41.5 43.2 50.7 44.6 36.6 48.4 37.3 46.4 34.2...
We need to examine the difference in the average time it takes two different passenger trains...
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Dylan Jones kept careful records of the fuel efficiency of his new car. After the first...
Dylan Jones kept careful records of the fuel efficiency of his new car. After the first eleven times he filled up the tank, he found the mean was 27.3 miles per gallon (mpg) with a sample standard deviation of 1.3 mpg. Compute the 95% confidence interval for his mpg.
The chief physician at a hospital wants to analyze the amount of time it takes two...
The chief physician at a hospital wants to analyze the amount of time it takes two doctors to complete a particular surgical procedure. A sample of 40 of these procedures performed by Dr. McCoy were completed in a mean time of 70.8 minutes with a standard deviation of 1.5 minutes. A sample of 35 these procedures performed by Dr. Turk were completed in a mean time of 71.4 minutes with a standard deviation of 2.4 minutes. A claim is made...
In the year 2000, the average vehicle had a fuel economy of 24.09 MPG. You are...
In the year 2000, the average vehicle had a fuel economy of 24.09 MPG. You are curious as to whether the average in the present day is greater than the historical value. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≤ 24.09, Alternative Hypothesis: μ > 24.09. A random sample of 34 vehicles shows an average economy of 24.24 MPG with a standard deviation of 3.185 MPG. What is the test statistic and p-value for this test?...
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records: MPG 13 41.5 50.7 36.6 37.3 34.2 45.0 48.0 43.2...
8. In a recent year the fuel economy of all passenger vehicles was 19.8 mpg. A trade organization sampled 50 passenger vehicles for fuel economy and obtained a sample mean of 20.1 mpg with standard deviation 2.45 mpg. The sample mean 20.1 exceeds 19.8, but perhaps the increase is only a result of sampling error. a. Perform the relevant test of hypotheses at the 20% level of significance using the critical value approach. b. C. Compute the observed significance of...
1. When hybrid vehicles were introduced the mean time required for savings from increased fuel economy to recover the additional initial cost was 4.2 years. To test whether it is now less an economist performed a study of 12 hybrid vehicles. The mean time cost recovery time was 3.9 years with sample standard deviation 0.6 years. The test is performed at the 1% level of significance. Assume that the population of recovery times is normally distributed. a) State the null...
30 Fuel efficiency. Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records: MPG 41.5 43.2 50.7 44.6 36.6 48.4 37.3 46.4 34.2...
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