A car manufacturer advertises that its new subcompact models get 47 miles per gallon (mpg). Let µ be the mean of the mileage distribution for these cars. You assume that the manufacturer will not underrate the car, but you suspect that the mileage might be overrated. State the null hypothesis and the alternate hypothesis for this case.a.H0: µ = 47mpg  and H1: µ ≠ 47mpgb.H0: µ = 47mpg  and H1: µ < 47mpgc.H0: µ = 47mpg  and H1: µ > 47mpgd.H0: µ ≥ 47mpg  and H1: µ < 47mpg

A consumer claims that car model of type 1 has a lower average miles per gallon than all other cars on the market. Which of the following is the correct null hypothesis?Question 11Answera.µ < µ0b.µ = µ0c.µ ≥ µ0d.µ > µ0

Car MileageSuppose you are asked to define the null and alternative hypotheses when a popular carmaker claims that its cars give a mileage of at least 17 kilometres per litre. Which of these are the most appropriate null and alternative hypotheses if you want to test this claim? (Remember that your motive is to verify whether the carmaker’s claim is false.)Ho: Mileage < 17; Ha: Mileage ≥ 17Ho: Mileage ≤ 17; Ha: Mileage > 17Ho: Mileage ≥ 17; Ha: Mileage < 17Ho: Mileage = 17; Ha: Mileage ≠ 17

Formulating the HypothesesGoodyear has launched a new tyre, which, it claims, can travel more than 7,500 miles before it needs any replacement.Assuming that the ‘average distance travelled before replacement’ is given by μ, what would be the null and alternative hypotheses in this case?Ho: μ ≤ 7500 miles; Ha: μ ≠ 7500 milesHo: μ ≤ 7500 miles; Ha: μ > 7500 milesHo: μ = 7500 miles; Ha: μ ≠ 7500 milesHo: μ ≥ 7500 miles; Ha: μ < 7500 miles

A popular car manufacturing brand claims that their car model Rex500 has an average highway mileage of 21.50 Km/L, you want to test whether this claim is statistically significant or not.You managed to get data from 45 cars of this model and found that the average highway mileage is 20.42 Km/L, with a standard deviation of 2.7 Km/LWith 99% confidence, will you be able to conclude that the average highway mileage is statistically lower than the claimed fuel economy?Use the appropriate test and select the correct option below:

A local car manufacturer manufactures small automobiles that averaged 50 miles per gallon of gasoline in highway driving.The company has developed a more efficient engine for its small cars and now advertises that its new small cars average more than 50 miles per gallon in highway driving.  In a sample of 36 road-tested automobiles,  it showed an average of 51.5 miles per gallon and a standard deviation of 6 miles per gallon.Test to determine whether or not the manufacturer's advertising campaign is legitimate at 0.05 level of significance and using the p-value approach,  Group of answer choicesWith p-value of 0.0668, therefore, do not reject Ho. There is no sufficient evidence to conclude that the new cars average more than 50 mile per gallon.With p-value of 0.0068, therefore, reject Ho. There is sufficient evidence to conclude that the new cars average more than 50 miles per gallon.With p-value of 0.0724, therefore, do not reject Ho. There is no sufficient to conclude that the new cars average more than 50 miles per gallon.With p-value of 0.0008, therefore, reject Ho. There is sufficient evidence to conclude that the new cars average more than 50 miles per gallon.