the mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. 1 onstruct a 97% Confidence Interval for the true mean age of Winter Foothill College students. The Error Bound is __________(Margin of Error). The 97% confidence interval is:__________________. Conclusion on your confidence interval (In one complete sentence, explain what the interval means.) 2 Using the same mean, standard deviation and level of confidence, suppose that the sample size was 69 instead of 25. Would the error bound become larger or smaller? How do you know
the
1
- onstruct a 97% Confidence Interval for the true mean age of Winter Foothill College students.
The Error Bound is __________(Margin of Error).
The 97% confidence interval is:__________________.
Conclusion on your confidence interval (In one complete sentence, explain what the interval means.)
2
- Using the same mean, standard deviation and level of confidence, suppose that the
sample size was 69 instead of 25. Would the error bound become larger or smaller? How do you know?
3 Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?
4 If we still keep the same confidence level 97%, but also want to reduce the margin of error (error bound), how should we do if using the same standard deviation as above?
5 If we want a 97% confidence that the sample mean age is within 1.5 years of true mean age of Foothill College students, how many randomly selected Foothill College students must be surveyed?
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