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
Question
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
Solution
The correct null and alternative hypotheses for this case would be:
Ho: μ ≥ 35 minutes; Ha: μ < 35 minutes
The null hypothesis (Ho) is usually the claim or assumption that you want to test, which in this case is that the average commute time is at least 35 minutes. The alternative hypothesis (Ha) is the opposite of the null hypothesis, which in this case is that the average commute time is less than 35 minutes.
Similar Questions
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
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
The pizza chain aims to deliver within 20 minutes on average. What would be the null and alternative hypotheses if the pizza chain wishes to conduct a hypothesis test to assess whether they have exceeded the target delivery time?a.H0 µ = 20 minutes, H1: µ ≠ 20minutesb.H0: µ = 20 minutes, H1: µ < 20 minutesc.H0: µ = 20 minutes, H1: µ > 20 minutesd.H0: µ < 20 minutes, H1: µ > 20 minutes
Suppose the commute times for employees of a large company follow a normal distribution. If the mean time is 22 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within which range?A.17.25 minutes to 26.75 minutesB.17 minutes to 27 minutesC.12 minutes to 32 minutesD.7 minutes to 37 minutesSUBMITarrow_backPREVIOUS
When Parker commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 58 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.