![]() Sample standard deviation from the sample from field A is 0.5. This numerator is going toīe equal to 1.3 minus 1.6, 1.3 minus 1.6, all of that over the square root of, let's see, the standard deviation, the And let's see, we haveĪll the numbers here to calculate it. The sample size from A, plus the sample standard deviation from the B sample squared, This will be the sample standard deviation from sample A squared, over ![]() Of the sampling distribution of the difference of the sample means. And our T statistic is going to be equal to the differencesīetween the sample means, all of that over our estimate of the standard deviation And then we wanna calculate a T statistic based on this sample data that we have. We assume our null hypothesis, and remember we're assuming that all of our conditions for inference are met. And to do this two sample T test now, we assume the null hypothesis. He's not saying whetherĪ is bigger than B, or whether B is bigger than A, and so his alternative hypothesis would be around his suspicion, that the mean of A is notĮqual to the mean of B, that they differ. The sizes of his tomato plants differ between the two fields. Now what about our alternative hypothesis? Well, he wants to see whether The mean size in field A is equal to the mean size in field B. And that's going to be the situation where there is no differenceīetween the mean sizes, so that would be that So like always, let's firstĬonstruct our null hypothesis. The two sample T test here, to see whether there's evidence that the sizes of tomato plantsĭiffer between the fields. And let's assume that we are working with a significance level of 0.05. The random condition, the normal condition, and And let's assume thatĪll of the conditions for inference are met, ![]() "Here is a summary of the results:" So what I want you toĭo, is pause this video, and conduct a two sample T test here. Of plants from each field "and measures the heights of the plants. The sizes of his tomato plants "differ between the two fields. "When the tomatoes are ready to be picked, "he is curious as to whether
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