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In: Statistics and Probability

In order to compare the means of two populations, independent random samples are selected from each...

In order to compare the means of two populations, independent random samples are selected from each population, with the results shown in the table below. Use these data to construct a 98% confidence interval for the difference in the two population means.

Sample 1 Sample 2
Sample size 500 400
Sample mean 5,280 5,240
Sample standard dev. 150 200

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Expert Solution

A 98% confidence level has significance level of 0.02 and critical value is,

The 95% confidence interval for difference in two population means is,

Therefore, the 98% confidence interval for the difference in two population means is (11.9431, 68.0569)

​​​​​​Note : if we used TI-83 plus calculator then we get, the 98% confidence interval is, (11.987, 68.013)

orchestra answered 1 year ago
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