HOMEWORK 5A--GENDER AND STATISTICS GRADES--MEANS
HOMEWORK 5a--GENDER AND STATISTICS GRADES--MEANS
1. Use spreadsheet > to conduct estimation and hypothesis testing on the population mean grade of college male and female statistics students. The data are from random samples from the relevant populations. Note: the sample sizes and means are actual data from the Fall, 2002 Statistics I classes.
Sample Sample Estimated Population
Size Mean Standard Deviation
Males (X) 41 71.0 2 times the number of letters in your first name = _____
Females (Y) 34 76.0 2 times the number of letters in your last name = _____
a. The point estimate of the population mean is:
Males: Females:
b. The sampling standard deviation (standard error) of the sample means is:
Males: Females:
c. The 95% confidence interval for the population mean is:
(use point estimate ± error factor format, not LCL and UCL)
Males: __________ ± __________ Females: __________ ± __________
d. What sample size is needed for an error factor "E" of ± 1.50?
Males: Females:
Test the Ho that each population mean is 70.00 against the Ha that it is not 70.00.
e. State the Ho:
Males: Females:
f. State the Ha:
Males: Females:
g. Use alpha = 0.05. State the zt, table-z, or critical value:
Males: Females:
h. The zc, calculated-z or test statistic is:
Males: Females:
i. The hypothesis-test conclusion is:
Males: Females:
j. Explain the conclusion.
Males: Females:
k. What is the p-value in this test?
Males: Females:
2. Using the same data, conduct estimation and hypothesis testing on the difference between population mean grades of college male and female statistics students.
a. The point estimate of the difference between population means is:
b. The sampling standard deviation (standard error) of the differences between sample means is:
c. The 95% confidence interval for the difference between population means is
(use point estimate ± error factor format, not LCL and UCL)
____________ ± ____________
d. What sample size is needed for an error factor "E" of ± 1.25?
Test the Ho that the population means are equal against the Ha that they are not equal.
e. State the Ho:
f. State the Ha:
g. Use alpha = 0.05. State the zt, table-z, or critical value:
h. The zc, calculated-z or test statistic is:
i. The hypothesis-test conclusion is:
j. Explain the conclusion.
k. What is the p-value in this test?
ATTACH THE > SPREADSHEET. ON THE SPREADSHEET, CIRCLE OR HIGHLIGHT, AND LABEL WITH THE ITEM NUMBER (1a, 1b, etc.), EVERY VALUE THAT YOU HAVE WRITTEN ABOVE. The entire spreadsheet will fit nicely on one page.
For practice, verify the spreadsheet results by calculator.
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