fter two weeks, more complaints were received from the Car X users. Therefore, you wantto test the variability of the fuel consumption. Teslow claims that a standard deviation is nomore than 0.8 km/litre. Explain why this test is needed. Then, test* the hypotheses
Question
fter two weeks, more complaints were received from the Car X users. Therefore, you wantto test the variability of the fuel consumption. Teslow claims that a standard deviation is nomore than 0.8 km/litre. Explain why this test is needed. Then, test* the hypotheses
Solution
This test is needed to verify the claim made by Teslow about the standard deviation of fuel consumption. If the standard deviation is indeed no more than 0.8 km/litre, it would mean that the fuel consumption of Car X is consistent and does not vary much. However, if the standard deviation is found to be more than 0.8 km/litre, it would indicate a higher variability in fuel consumption, which could be a reason for the complaints received from the users.
To test the hypotheses, we would first set up our null and alternative hypotheses. The null hypothesis (H0) would be that the standard deviation is no more than 0.8 km/litre, as claimed by Teslow. The alternative hypothesis (H1) would be that the standard deviation is more than 0.8 km/litre.
Next, we would collect a sample of fuel consumption data from Car X users and calculate the sample standard deviation. If the sample standard deviation is found to be significantly more than 0.8 km/litre, we would reject the null hypothesis in favor of the alternative hypothesis. This would suggest that the variability in fuel consumption is indeed more than what Teslow claims, which could be a potential reason for the complaints from the users.
On the other hand, if the sample standard deviation is not significantly more than 0.8 km/litre, we would not reject the null hypothesis. This would suggest that the variability in fuel consumption is as claimed by Teslow, and we would need to look for other potential reasons for the complaints from the users.
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During a dynamometer test a 4 cylinder, 4 stroke diesel engine develops an indicated meaneffective pressure of 850 KN/m2 at an engine speed of 2000rpm. The engine has a bore of93mm and stroke of 91mm. The test runs for 5 min, during which time 0.8kg of fuel isconsumed. Mechanical efficiency is 83%. Calorific value of the fuel is 43MJ/kg.Calculatei) The indicated power and Brake power (6 marks)ii) The energy supplied from the fuel per second. (5 marks)iii) The indicated and brake thermal efficiency. (6 marks)iv) The Brake specific fuel consumption in kg/KWh
During a dynamometer test a 4 cylinder, 4 stroke diesel engine develops an indicated meaneffective pressure of 850 KN/m2 at an engine speed of 2000rpm. The engine has a bore of93mm and stroke of 91mm. The test runs for 5 min, during which time 0.8kg of fuel isconsumed. Mechanical efficiency is 83%. Calorific value of the fuel is 43MJ/kg.Calculatei) The indicated power and Brake power (6 marks)ii) The energy supplied from the fuel per second. (5 marks)iii) The indicated and brake thermal efficiency.
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