1. From a population of size 400, a random sample of 40 items is selected. The m

ID: 3071634 • Letter: 1

Question

1. From a population of size 400, a random sample of 40 items is selected. The median of the sample

a. must be 200, since 400 divided by 2 is 200

b. must be 10, since 400 divided by 400 is 10

c. must be equal to the median of population, if the sample is truly random

d. None of the above

2. From a population of size 500, a random sample of 50 items is selected. The mode of the sample

a. Must be 500

b. must be equal to the mode of population, if the sample is truly random

c. must be equal to the mean of the population, if the sample is truly random

d. can be larger, smaller or equal to the mode of the population

The test statistic Z is computed to be 2.83. The p-value for this test is

a. 0.4977

b. 0.0023

c. 0.0046

d. 0.9977

#1.
The median of the sample

must be equal to the median of population, if the sample is truly random

The sample median is the sample estimate of the population median

#2.
The mode of the sample

must be equal to the mean of the population, if the sample is truly random

#3.
p-value = 0.0023

use right tailed z-table to look up the value for the area under the curve in right tail for z = 2.83

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