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Chapter 8: Q.3 (page 477)
Which distribution should you use for this problem?
The distribution is.
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Using the same mean, standard deviation, and level of confidence, suppose that n were 69 instead of 25. Would the error bound become larger or smaller? How do you know?
A sample of small bags of the same brand of candies was selected. Assume that the population distribution of bag
weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation
of ounces. The population standard deviation is known to be ounce.
b. In words, define the random variable
c. In words, define the random variable
d. Which distribution should you use for this problem? Explain your choice.
e. Construct a confidence interval for the population mean weight of the candies.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
f. Construct a confidence interval for the population mean weight of the candies.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
g. In complete sentences, explain why the confidence interval in part is larger than the confidence interval in part .
h. In complete sentences, give an interpretation of what the interval in part means.
The average height of young adult males has a normal distribution with a standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 93 per cent confidence. How many male students must you measure?
The data in the Table are the result of a random survey of national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let the number of colors on a national flag.
Construct a confidence interval for the true mean number of colors on national flags.
The confidence interval is_____.
A camp director is interested in the mean number of letters each child sends during his or her camp session. The
population standard deviation is known to be . A survey of campers is taken. The mean from the sample is with a
sample standard deviation of
a.
localid="1651507797100"
b. Define the random variables
in words.
c. Which distribution should you use for this problem? Explain your choice.
d. Construct a confidence interval for the population mean number of letters campers send home.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
e. What will happen to the error bound and confidence interval if campers are surveyed? Why?
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