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which one? Suppose the amount of sleep time last night for a given group of stud

ID: 3182134 • Letter: W

Question

which one?

Suppose the amount of sleep time last night for a given group of students is recorded and a 90% confidence interval is produced from this data. Describe how the confidence interval would have been different if the only change had been a larger sample mean by 0.5 hours.

answer4:

answer 5: If the sample mean had been larger by 0.5  hours, the midpoint of the confidence interval would be larger by 0.5 hours. The width of the confidence interval would increase.

answer 1: If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be larger by 0.5 hours. The width of the confidence interval would decrease. Suppose the amount of sleep time last night for a given group of students is recorded and a 90 86 confidence interval is produced from this data. Describe how the confidence interval would have been different if the only change had been a larger sample mean by 05 hours. If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be larger by 0.5 hours. The width of the confidence interval would decrease. If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be larger by 0.5 hours, but the width of the confidence interval would not change. If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be smaller by 0.5 hours, but the width of the confidence would not change. If the sample mean had been larger by 0.5 hours, neither the midpoint of the width of the confidence interval would change If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be larger by 0.5 hours. The width of the confidence interval would increase.

Explanation / Answer

as width of the confidence interval depends on std error and z or t stat and has nothing to do with sample mean.

hence answer 2: If the sample mean had been larger by 0.5 hours, the midpoint of the confidence interval would be larger by 0.5  hours, but the width of the confidence interval would not change.