Asked by Sushmita Rathour on Jun 26, 2024
Verified
Two independent random samples of sizes = 4 and = 5 are selected from each of two normal populations: Calculate , the pooled estimator of .
______________
Find a 90% confidence interval for ( ), the difference between the two population means.
CI = ______________ Enter (n1, n2)
Test for = 0.05.
Conclusion:
We ______________ have sufficient evidence to indicate .
Independent Random Samples
Samples drawn from a population in such a way that each individual sample is obtained independently and from the same distribution.
Confidence Interval
A range of values derived from sample data that estimates the range within which a population parameter is believed to lie with a certain level of confidence.
Pooled Estimator
A method used to estimate a common mean or variance from two or more samples, especially in t-tests involving independent samples with assumed equal but unknown variances.
- Utilize pooled variance for hypothesis testing and estimating confidence intervals.
- Interpret confidence intervals for the difference between two population means.
Verified Answer
Learning Objectives
- Utilize pooled variance for hypothesis testing and estimating confidence intervals.
- Interpret confidence intervals for the difference between two population means.
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