4. a) Professor Smith and Professor Brown teach different sections of the same English course, and Professor Smith believes that she attracts better writers. To test that claim, both professors administer the same writing test and the results are given below. Assume both populations normal and the variances are unequal. a) At the .05 significance level, test the claim that both groups have equal means. Smith Brown n, = 25 X, = 77.7 I, = 73.3 n, = 30 s, =14.6 | s, =14.2 claim null hypothesis... alternative hypothesis... Calculator Screen Name... test statistic pvalue/alpha comparison... decision Conclusion b) Construct a 95% confidence interval for µ, – µ, based on the sample data above. Interpret the interval in a complete sentence. Confidence Interval Name Interval Interpret

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4. a) Professor Smith and Professor Brown teach different sections of the same English
course, and Professor Smith believes that she attracts better writers. To test that claim,
both professors administer the same writing test and the results are given below. Assume
both populations normal and the variances are unequal.
a) At the .05 significance level, test the claim that both groups have equal
means.
Smith
Brown
n, = 25
X, = 77.7 I, = 73.3
n, = 30
s, =14.6 | s, =14.2
claim
null hypothesis...
alternative hypothesis...
Calculator Screen Name...
test statistic
pvalue/alpha comparison...
decision
Conclusion
b) Construct a 95% confidence interval for µ, – µ, based on the sample data
above. Interpret the interval in a complete sentence.
Confidence Interval Name
Interval
Interpret
Transcribed Image Text:4. a) Professor Smith and Professor Brown teach different sections of the same English course, and Professor Smith believes that she attracts better writers. To test that claim, both professors administer the same writing test and the results are given below. Assume both populations normal and the variances are unequal. a) At the .05 significance level, test the claim that both groups have equal means. Smith Brown n, = 25 X, = 77.7 I, = 73.3 n, = 30 s, =14.6 | s, =14.2 claim null hypothesis... alternative hypothesis... Calculator Screen Name... test statistic pvalue/alpha comparison... decision Conclusion b) Construct a 95% confidence interval for µ, – µ, based on the sample data above. Interpret the interval in a complete sentence. Confidence Interval Name Interval Interpret
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