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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

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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.

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