Question

In: Statistics and Probability

Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were...

Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were tested with additive 1 and nine cars were tested with additive 2. The following data show the miles per gallon obtained with the two additives.

Additive 1 Additive 2
18.3 18.7
19.4 18.8
20.1 21.3
15.7 20.0
18.2 23.1
18.6 18.7
17.5 19.8
20.7
19.2

Find the value of the test statistic and p-value.

please do step by step? I saw there was a similar problem but table 8 in Appendix B Tables isn't there so I wasn't able to finish the answer.

Solutions

Expert Solution

Let denote the average gasoline mileage for cars with additive 1 and additive 2 respectively.

Conclusion in probelm context :

There is significant effect on gasoline mileage.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were...
Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were tested with additive 1 and nine cars were tested with additive 2. The following data show the miles per gallon obtained with the two additives. Additive 1 Additive 2 17.3 17.7 17.4 18.8 20.1 21.3 15.7 20.0 18.2 22.1 17.6 19.7 17.5 18.8 19.7 21.2 Use α = 0.05 and the MWW test to see whether there is a significant difference between gasoline mileage...
Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were...
Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were tested with additive 1 and nine cars were tested with additive 2. Data: Additive 1 - 17.3,18.4, 19.1, 17.7, 17.2, 17.6, 18.5; Additive 2 - 18.7, 18.8, 20.3, 20.0, 21.1, 18.7, 18.8, 20.7, 21.2. The following data show the miles per gallon obtained with the two additives. I am struggling to determine the p-value.
Twenty-five different cars were​ tested, and their weights​ (in pounds) and mileage​ (miles per​ gallon) were...
Twenty-five different cars were​ tested, and their weights​ (in pounds) and mileage​ (miles per​ gallon) were measured. The regression of mileage on weight has the MINITAB regression output shown below. Answer parts ​a-d. Predictor Coef SE Coef T P Constant 49.01549.015 2.5492.549 19.22919.229 0.000 Weight negative 0.006672−0.006672 0.00078890.0007889 negative 8.457−8.457 0.000 For the prediction equation determine the value of the​ y-intercept and the slope? Interpret the slope in terms of a​ 1000-pound increase in the vehicle weight? Interpret the​ y-intercept?
In automobile mileage and gasoline-consumption testing, 6 automobiles were road tested for 300 miles in both...
In automobile mileage and gasoline-consumption testing, 6 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance. City 16.2 16.7 15.9 14.4 16 16.2 Highway 19.4 20.6 18.3 18.6 18.6 18.7 Use mean, median, and mode to make a statement about the difference in performance for city and highway driving. Which area of Statistics helps you to either validate or disprove such a statement and why?
1. Three different makes of cars were tested for fuel efficiency. For each make of car...
1. Three different makes of cars were tested for fuel efficiency. For each make of car eighteen automobiles were randomly selected and subjected to standard driving procedures. Using the data from the following results compute the between treatments estimate of σ² and the within treatments estimate of σ². At the α=.05 level of significance, can the null hypothesis, that all fuel economies are the same, be rejected? Construct the ANOVA table for this data. (Use the formulas to compute the...
We are interested in predicting the fuel efficiency (gasoline mileage in mpg) using the weight of...
We are interested in predicting the fuel efficiency (gasoline mileage in mpg) using the weight of a vehicle in pounds. A random sample of 12 vehicles is taken. The Excel output is given below. Use the output and the fact that R2 = 0.640 to answer the following questions. Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 48.409 5.978 8.098 0.000 35.089 61.728 Weight -0.006 0.002 -4.214 0.002 -0.010 -0.002 Interpret the slope in context. Find and...
Two different formulations of an oxygenated motor fuel are being tested to study their road octane...
Two different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The population variance of road octane number for formulation 1 is =1.5, and for formulation 2, it is =1.2. Two random samples of size =15 and =20 are tested, and the mean road octane numbers observed are =89.6 and =92.5. Assume normality. a.) Construct a 95% two-sided confidence interval on the difference in mean road octane number. b.) If formulation 2 produces a...
Two different formulations of an oxygenated motor fuel are being tested to study their road octane...
Two different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The population variance of road octane number for formulation 1 is =1.5, and for formulation 2, it is =1.2. Two random samples of size =15 and =20 are tested, and the mean road octane numbers observed are =89.6 and =92.5. Assume normality. a.) Construct a 95% two-sided confidence interval on the difference in mean road octane number. b.) If formulation 2 produces a...
The ACME Fuel Company is testing three gasoline additives that potentially improve miles per gallon (mpg)....
The ACME Fuel Company is testing three gasoline additives that potentially improve miles per gallon (mpg). Data on the mpg increases are listed below. (a) For each of the three additives, make boxplots, probability plots, run Anderson-Darling tests, and Shapiro-Wilks tests to check for normality. (b) Based the results in part (a), which test (Hartley’s F-max, Bartlett’s, Levene’s) is best to use to check for a difference between the variances of mpg increases for the three additives? (c) Run the...
Two types of medication for hives are being tested to determine if there is a difference...
Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions. Twenty out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. Twelve out of another random sample of 180 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance. 1) For this hypothesis test, the null and...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT