Let\'s illustrate the idea of a sampling distribution in the case of a very smal

Question

Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam. Student 3 4 5 6 7 8 9 10 Score 86 61 81 55 72 71 65 67 79 59 The parameter of interest is the mean score Au in this population. The sample is an SRS of size n- 4 drawn from the population. The Simple Random Sample applet can be used to select simple random samples of four single digit numbers between 1 and 10, corresponding to the students. (a) Make a histogram of these 10 scores. Count Count Score 55 60 65 70 75 80 85 90 O 55 60 65 70 75 80 85 90 Count Count Score 55 60 65 70 75 80 85 90 O 55 60 65 70 75 80 85 90

Explanation / Answer

1) THe correct answer is A as observed from the values. Note, the first interval is from 55 to just less than 60 .

[55,60) and so on.

2)Mean = Sum(86+61+81+55+72+71+65+67+79+59)/10 = 69.6

3)x_bar = [72+71+59+61]/4 = 65.75

4) A is the correct answer since the means would converge around the true mean of the population.

5) Correct option is D.

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