Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations, as shown below. Complete parts a and b. X P(x) | 3 0.1 4 0.2 5 0.3 6 0.4 a. Complete the sampling distribution table. Type the medians in ascending order. Median 3 4 Probability 0.04 (Simplify your answers. Type integers or decimals.) 03- pim) Q Q b. Construct a probability histogram for the sampling distribution of the sample median and compare it with the probability histogram for the sample mean. Choose the correct graph below. OA. OB. OC. O D. 0.2 pim) Q 0.2 pim) 5 Q 0.24 0.47Pim) How does the probability histogram for the sampling distribution of the sample median compare to the probability histogram for the sample mean? OA. They are the same because the probabilities of the x-values skew the values of the mean. If the probabilities were equal, the histograms would be different OB. They are different because the mean can never equal the median OC. They are the same because, in this case, the means and medians are the same values. OD. They are different because the probabilities of the x-values skew the values of the mean. If the probabilites were equal, the histograms would be the same. Full data set 4.5 4.6 0.06 0.08 Sample 3,3 3.4 3.5 3.6 4,3 Probability 0.01 0.02 0.03 0.04 0.02 0.04 Sample 5,3 5,4 5.5 5.6 6,3 6.4 6.5 6.6 Probability 0.03 0.06 0.09 0.12 0.04 0.08 0.12 0.16
Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations, as shown below. Complete parts a and b. X P(x) | 3 0.1 4 0.2 5 0.3 6 0.4 a. Complete the sampling distribution table. Type the medians in ascending order. Median 3 4 Probability 0.04 (Simplify your answers. Type integers or decimals.) 03- pim) Q Q b. Construct a probability histogram for the sampling distribution of the sample median and compare it with the probability histogram for the sample mean. Choose the correct graph below. OA. OB. OC. O D. 0.2 pim) Q 0.2 pim) 5 Q 0.24 0.47Pim) How does the probability histogram for the sampling distribution of the sample median compare to the probability histogram for the sample mean? OA. They are the same because the probabilities of the x-values skew the values of the mean. If the probabilities were equal, the histograms would be different OB. They are different because the mean can never equal the median OC. They are the same because, in this case, the means and medians are the same values. OD. They are different because the probabilities of the x-values skew the values of the mean. If the probabilites were equal, the histograms would be the same. Full data set 4.5 4.6 0.06 0.08 Sample 3,3 3.4 3.5 3.6 4,3 Probability 0.01 0.02 0.03 0.04 0.02 0.04 Sample 5,3 5,4 5.5 5.6 6,3 6.4 6.5 6.6 Probability 0.03 0.06 0.09 0.12 0.04 0.08 0.12 0.16
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5. Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations, as shown below. Complete parts a and b
P(x) |
0.1
X
3
4
5
6
0.2
0.3
0.4
. Complete the sampling distribution table. Type the medians in ascending order.
Median
3
Probability
0.3
p(m)
0.04
(Simplify your answers. Type integers or decimals.)
Construct a probability histogram for the sampling distribution of the sample median and compare it with the probability histogram for the sample mean. Choose the correct graph below.
O A.
O B.
O C.
O D.
192
Q
Q
G
0.24
p(m)
Q
Q
Im G
6
03p(m)
0.2
5
Q
Q
0.4-
p(m)
0.24
Q
Q
OB. They are different because the mean can never equal the median.
OC. They are the same because, in this case, the means and medians are the same values.
O D. They are different because the probabilities of the x-values skew the values of the mean. If the
probabilites were equal, the histograms would be the same.
6
m C
How does the probability histogram for the sampling distribution of the sample median compare to the probability histogram for the sample mean?
O A. They are the same because the probabilities of the x-values skew the values of the mean. If the
probabilities were equal, the histograms would be different.
Full data set
Sample 3,3 3,4 3.5 3.6 4.3
4,4
4,5 4,6
Probability 0.01 0.02 0.03 0.04 0.02 0.04 0.06 0.08
Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6
Probability 0.03 0.06 0.09 0.12 0.04 0.08 0.12 0.16
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