Independent random samples selected from two normal populations produced the following sample means and standard deviations. Sample 1 Sample 2 n1 = 14 n2 = 11 1 = 7.1 2 = 8.4 s1 = 2.3 s2 = 2.9 Find and interpret the 95% confidence interval for Write separately the pooled standard deviation, -critical value.
Independent random samples selected from two normal populations produced the following sample means and standard deviations.
| Sample 1 | Sample 2 |
| n1 = 14 | n2 = 11 |
| 1 = 7.1 | 2 = 8.4 |
| s1 = 2.3 | s2 = 2.9 |
Find and interpret the 95% confidence interval for Write separately the pooled standard deviation, -critical value.
Confidence Interval: A confidence interval, in statistics, refers to the probability that a population parameter will fall between the two set values for a certain proportion of times. confidence interval measures the degree of uncertainty or certainty in a sampling method.
Given,
Sample size = n1 = 14 n2 = 11
Sample mean =
Sample standard deviation = s1 = 2.3 s2 = 2.9
Level of significance = = 1-95% = 0.095 = 0.05
Here we use two sample t-test because sample standard deviations are given,
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