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
Question
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
Solution
The correct null and alternate hypotheses in this case would be:
H₀: μ ≥ 35 minutes and H₁: μ < 35 minutes
The null hypothesis (H₀) is usually a statement of 'no effect' or 'status quo' and in this case, it represents the current belief that the average commute time for an upGrad employee to and from the office is at least 35 minutes.
The alternate hypothesis (H₁) is what you might believe if the null hypothesis is concluded to be untrue. In this case, it represents the possibility that the average commute time for an upGrad employee to and from the office is less than 35 minutes.
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