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

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

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

Formulating the HypothesesIt is believed that the average commute time for an employee to and from their office in Hyderabad is at least 35 minutes. Now, suppose you want to test this claim.What will be the null and alternative hypotheses in this case if the average commute time is represented by μ?Ho: μ ≤ 35 minutes; Ha: μ > 35 minutesHo: μ > 35 minutes; Ha: μ ≤ 35 minutesHo: μ ≥ 35 minutes; Ha: μ < 35 minutesHo: μ < 35 minutes; Ha: μ ≥ 35 minutes

A tire manufacturer has a 60,000-mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 8% are worn out at 60,000 miles.The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 15 of them are worn out. With this data, we test the following hypotheses at the 5% significance level.H0: The proportion of tires that are worn out after 60,000 miles is equal to 0.08.Ha: The proportion of tires that are worn out after 60,000 miles is less than 0.08.The p-value is 0.15. Which conclusion is correct? Reject H0. Fail to reject H0. Accept H0.

The average commute time for an upGrad employee to and from the office is at least 35 minutes.What will be the null and alternate hypotheses in this case if the average time is represented by μ? H₀: μ ≤ 35 minutes and H₁: μ > 35 minutesH₀: μ > 35 minutes and H₁: μ ≤ 35 minutesH₀: μ ≥ 35 minutes and H₁: μ < 35 minutesH₀: μ < 35 minutes and H₁: μ ≥ 35 minutes