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Brittney N.

Elementary Statistics a Step by Step Approach

9 months ago

hi in this problem, we will use these T tests for hypothesis testing because we only know the and sample standard deviation and there's no guarantee that the sample standard deviation is also the population standard deviation. So we have to use the t distribution to account for that uncertainty. Yeah, so let's get started. We know t value has this formula Which is equal to 2.4 -2, three over .5, But we sample size is 12. Put it back to the calculator, you'll get AT score 0.693. What a normal distribution? No, no, no, sorry. T distribution, that would be around here and want to find the area to the right of that, that's going to be a p value. And they were your freedom for this. T distribution is going to be 11 because degree of freedom is equal to um 12 minus what. Okay, so that's our t score. We don't we're not asked to find a p value. So we proceed to question be With a sample size 18 and a non standard deviation 0.4. We were using Z tests because we know what the truth, standard deviation is. The Z score is going to be equal to the sample mean minus population means or with a standard error, which is equal to let me see, mm hmm. Um two points, It was 2.4 -2.3 over The standard deviation 0.4 over the square root of The sample size in this case is 18. So summer says 18, You want to get C scores 1.6. That's going to be our answer. I hope that helps.

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