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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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