Three randomly selected households are surveyed. The numbers of people in the ho
ID: 3350927 • Letter: T
Question
Three randomly selected households are surveyed. The numbers of people in the households are 2, 3, and 10-Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (c). 2.2 2.3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 2 9 2 0.5 24.5 32 9 (Type an integer or a fraction. Use ascending order of the sample variances.) b. Compare the population variance to the mean of the sample variances. Choose the correct answer below. 0 A. The population variance is equal to the square of the mean of the sample variances O B. The population variance is equal to the mean of the sample variances. O C. The population variance is equal to the square root of the mean of the sample variances. c. Do the sample variances target the value of the population variance? In general, do sample variances make good estimators of population variances? Why or why not? A The sample variances do not arge he population variance here ore. sample ana es do not make good es ma ors po ula On var ances B. The sample variances arge the population variance here ore. Sample variances do not ma ego es a s pop ation nances. C. The sample variances do not arge he population variance there re sample an ances make good es m or s on population var ances. O D. The sample variances target the population variances, therefore, sample variances make good estimators of population variances Click to select your answer(s). javascriptdoExercise(T)Explanation / Answer
Result:
X1
X2
Sample variance
2
2
0
2
3
0.5
2
10
32
3
2
0.5
3
3
0
3
10
24.5
10
2
32
10
3
24.5
10
10
0
Population variance = 12.667 and average of sample variances = 12.667
b).
B. The population variance is equal to the mean on the sample variances.
c).
D. the sample variances target the population variances, therefore sample variances make good estimators of population variances.
X1
X2
Sample variance
2
2
0
2
3
0.5
2
10
32
3
2
0.5
3
3
0
3
10
24.5
10
2
32
10
3
24.5
10
10
0
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