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Consider the following hypothesis statement using a =0.05 and data from two independent samples: HO: M1 - M2 0 x1 = 14.6 s1 = 5.8

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Consider the following hypothesis statement using a =0.05 and data from two independent samples: HO: M1 - M2 0 x1 = 14.6 s1 = 5.8 and n1 = 25 and 2 = 11.5s2 = 4.9 and n2 = 27 Assume the samples are independent and normally distributed with equal variance. Calculate the test statistic, p-value and state the conclusions (use 3 decimal places). O t-statistic 2.088, p-value is between 0.01 and 0.025. Because this range is less than 0.05, we reject the null hypothesis O Because we don't know the population standard deviation, we cannot make any conclusions about the hypothesis test. O t-statistic -2.088, p-value is greater than 0.025. Because this range is greater than 0.05, we fail to reject the null hypothesis. O t-statistic 1.676, p-value is equal to 0.05. Because this range is equal to 0.05, we fail to reject the null hypothesis

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