問題詳情

1. The scores of individual students on the American College Testing (ACT)Program composite college entrance examination have a normal distributionwith mean 18.6 and standard deviation 6.0. At Northside High, 36 seniors takethe test. If the scores at this school have the same distribution as national scores,what is the mean of the sampling distribution of the average (sample mean)score for the 36 students?
(A)1.0
(B) 3.1
(C)6.0
(D)18.6

參考答案

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增

用户評論

【用戶】Chih-sheng

【年級】高三下

【評論內容】The mean of the sampling distribution of the average score for the 36 students is equal to the mean of the distribution of the individual scores, which is 18.6. Therefore, the correct answer is (D) 18.6.It's important to note that the standard deviation of the sampling distribution of the average score is not equal to the standard deviation of the distribution of individual scores. The standard deviation of the sampling distribution is given by the formula:standard deviation of the sampling distribution = standard deviation of the population / √(sample size)In this case, the standard deviation of the sampling distribution would be 6.0 / √(36) = 1.6.