A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 68 with standard deviation o = 20. One year, the teacher taught a much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class affected scores in any way. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was x = 78. The hypothesis the teacher tested was Ho : pu = 68 vs. H. : µ # 68. To reduce the probability of a Type I error, the teacher should: increase the sample size. decrease the sample size. choose a two-sided alternative. do nothing; a Type I error is not affected by sample size.

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A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean
score over all those students on the first midterm was u
68 with standard deviation o = 20. One year, the teacher taught
a much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class affected scores in any way.
We can consider the small class as an SRS of the students who took the large class over the years. The average midterm
score was x = 78. The hypothesis the teacher tested was Ho : u = 68 vs. H. : u + 68.
To reduce the probability of a Type I error, the teacher should:
increase the sample size.
decrease the sample size.
O choose a two-sided alternative.
do nothing; a Type I error is not affected by sample size.
Transcribed Image Text:A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u 68 with standard deviation o = 20. One year, the teacher taught a much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class affected scores in any way. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was x = 78. The hypothesis the teacher tested was Ho : u = 68 vs. H. : u + 68. To reduce the probability of a Type I error, the teacher should: increase the sample size. decrease the sample size. O choose a two-sided alternative. do nothing; a Type I error is not affected by sample size.
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