STUDY GUIDE FOR CHAPTERS 9 AND 10 AND LESSON 13.6
1. What can we say with ___% confidence about the maximum error in using a sample mean of ____ to estimate the population mean, if the standard deviation is _____ ? [large sample or small sample]
2. Construct a ___% confidence interval for the mean of a population if a sample of ___ members has a mean of ___ and a standard deviation of ___ [small sample and/or large sample].
3. How large a sample size is needed to estimate the mean of a population at the ___ confidence level if the error of the estimate is to be no more than ____.
4. What can we say with ___% confidence about the maximum error in estimating the true (population) proportion of people weighing over 200 pounds if a sample of ____ people found ___ to be over 200 pounds?
5. Construct a ___% confidence interval for the true proportion of people weighing over 200 pounds if a sample of ____ people found ___% to be over 200 pounds?
6. How large a sample size is needed to assert with a probability of at least ___ that a sample proportion will differ from the true proportion by less than ___ [option: .. if it is known that the true proportion is between ___ and ___
7. What type of error do we commit if we reject [or fail to reject] the null hypothesis when it is actually appropriate to accept [or reject] it.
8. Identify the null hypothesis and alternate hypothesis for the following problem (do not solve the problem): _____[statement of problem]________. Ho: ______; HA: __________
9. Test hypotheses about a population mean for a situation given in a word problem.
--Large sample vs small sample.
--1-tail vs 2-tail
--.01 vs .05 level of significance
--Rejection criterion based on t-value, z-value, or p-value (for p, calculate a p-value or find a range of p-values)
10. Decide which procedure to use for a given word problem:
a. Test a hypothesis mean against a fixed number.
b. Test differences between two means (large sample)
c. (Omit) Test the difference between two means (small sample)
d. (Omit) Test the difference between two means when paired data are involved.
11. Use the F statistic to determine whether there is a significant difference among several means. Be able to calculate the F statistic from
a. Summary information about
several data sets (n, 
, s), with equal size samples (lesson 10.8)
using the definition of F as (n ´ variance of means) / (mean of variances)
b. Complete lists of data for several data sets, with equal or unequal size samples (lesson 10.9)
using an analysis of variance (ANOVA)
12. (from lesson 13.6): Use an H-test (Kruskal-Wallis test) to determine whether there is a significant difference among three or more means. Given the sample results for three or more data sets, be able to
a. rank the data
b. find the rank sums
c. calculate the H-statistic
d. perform a significance test by comparing the H-statistic with the critical value of chi-square (χ2)
Return to: Merced College; Don Power Updated 05/18/04 by Don Power