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6. Independent random samples of 45 and 55 observations are drawn from two quantitative populations, 1 and 2, respectively. The sample data summary is shown

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6. Independent random samples of 45 and 55 observations are drawn from two quantitative populations, 1 and 2, respectively. The sample data summary is shown here: Sample 1 Sample 2 Sample Size 45 55 Sample Mean 2.28 2.40 Sample Variance 0.088 0.096 (6+6=12 marks) At 5% level of significance do the data present sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2? Use the p-value approach and the critical value approach and explain your conclusion

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