Chapter 8 - Examples

1. What is the difference between confidence interval and confidence level?

2. There were 43 students in a particular Math 2200 class in the past; the mean age if the 43 students was 25.7 years. Assuming that the standard deviation is 4.1 years among all students taking the equivalent to Math 2200, find a 95% confidence interval for the mean age, m, of all people taking the equivalent to Math 2200.

3. What is the relationship between confidence levels and α?

4. a. Determine the sample size to determine that we ensure that we can be 90% confident that m is within 1 year of the measure that we have of 25.7 years.
    b. We need to ensure that we can be 95% confident
that m is within 1 year of the measure that we have of 25.7 years - will need a longer confidence interval or a shorter one?

5. For a t-curve with df = 11, determine the t-value(s):
(a) with area 0.025 to its right.
(b) with area 0.05 to its left.
(c) that divide the area under the curve into a middle 0.90 region.

6. There were 23 students in a particular Math 2200 class in the past; the mean age if the 23 students was 24.9 years; the standard deviation measured from the sample is 4.6. Find a 95% confidence interval for the mean age, m, of all people taking the equivalent to Math 2200.


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h of the snakes obtained will be within 3 inches of the population mean.