7. The national distribution of scores on the Advanced Placement (AP) examinatio

Question

7. The national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. to Score Count or2 3 18 19 37 26 Under the appropriate null hypothesis, what is the expected number of students in the sample who get a score of 5 on the AP exam? 8. The national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score Percentage 40% 25% 23% 12% 1 or 2 3 A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. Score Count l or 2 18 3 19 37 26 What are the appropriate degrees of freedom for the chi-square statistic under the appropriate null hypothesis? 9. According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female2: All male 10 3: Mixed gender 57 Total 78 Under the null hypothesis that the claim made in the medical journal is indeed true, what is the contribution to the chi-square statistic from each of the three cells?

Explanation / Answer

The answers to the questions would be as follows: -

7.

The expected number of students who get 5 on the AP exam is 12.

8.

DF would be (r-1)(c-1)=3

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