Question
2) The sample average is useful because there is confidence that it is a good estimate of a. the sample standard deviation b. The sample
2) The sample average is useful because there is confidence that it is a good estimate of
a. | the sample standard deviation | |
b. | The sample x-bar | |
c. | the population standard deviation | |
d. | the population average |
3) One would expect that averages taken from large samples would be statistically near the population mean.
a. | TRUE | |
b. | FALSE |
4) If a population does not have a normal distribution, the shape of the corresponding x-bar curve based on samples of size 50 will be
a. | exactly normal | |
b. | approximately normal | |
c. | Non-normal | |
d. | depends on the sample size |
5) If a population is known to be normally distributed, the shape of the corresponding x-bar curve will be
a. | exactly normal | |
b. | approximately normal | |
c. | Non-normal | |
d. | depends on the sample size |
6) Suppose one were to collect every possible sample of size 50 M&Ms from a population, and were to calculate the average weight of the M&Ms in each sample. The distribution of all these sample average would closely resemble a normal distribution.
a. | TRUE | |
b. | FALSE |
7) If a population does not have a normal distribution, the shape of the corresponding x-bar curve will be
a. | exactly normal | |
b. | approximately normal | |
c. | Non-normal | |
d. | depends on the sample size |
8) If a population has a normal distribution, the shape of the corresponding x-bar curve based on samples of size 25 will be
a. | exactly normal | |
b. | approximately normal | |
c. | Non-normal | |
d. | depends on the sample size |
9) The sample average seperating the lower 80% of all sample averages from the upper 20% would be the 20th percentile
a. | TRUE | |
b. | FALSE |
10) In order to minimize the standard error of the sample mean, one would to use a small sample.
a. | TRUE | |
b. | FALSE |
11) As sample size increases, the accuracy of the normal approximation of the Central Limit Theorem
a. | decreases | |
b. | increases | |
c. | stays the same |
12) As sample size increases, the standard deviation of the x-bar curve will
a. | increase | |
b. | decrease | |
c. | remain unchanged | |
d. | explode |
13) A normally distributed population has a mean of 241 and a standard deviation of 17. Determine the value of the 90th percentile. Round to the nearest whole number
14) A normally distributed population has a mean of 98.56 and a standard deviation of 0.29. Determine the sample avergage that is the lower quartile for samples of size 108. Round to the nearest hundredth 15) A normally distributed population has a mean of 115 and a standard deviation of 25. Determine the value of the sample average at the 25th percentile for samples of siz 44. Round to the nearest tenth
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