3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from...
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3. Independent random samples of n1 = 16 and n2 = 13observations were selected from two normal populations with equalvariances. The sample means and variances are shown below:Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2Sample variance 4.0 4.84 a) Suppose you wish to test if there isdifference between the population means with significance level of? = 0.05. State the null and alternative hypotheses that you usefor the test. b) Find the value of the test statistic c) Find thevalue of the critical value d) Conduct the test and state yourconclusions.
3. Independent random samples of n1 = 16 and n2 = 13observations were selected from two normal populations with equalvariances. The sample means and variances are shown below:Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2Sample variance 4.0 4.84 a) Suppose you wish to test if there isdifference between the population means with significance level of? = 0.05. State the null and alternative hypotheses that you usefor the test. b) Find the value of the test statistic c) Find thevalue of the critical value d) Conduct the test and state yourconclusions.
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