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1. If the claim says that the population mean is greater than 200 and the sample mean is 215, we can say that the claim is true even without a formal test.
Just in case you're wondering - my answer is up in the blue box.
Is that your answer, or is that part of the question? Your post confused me :)
ah, I was wondering... thanks :)
Does the problem give you the null hypothesis and the alternative hypothesis?
Well, the question does say that the claim is the population mean is greater than 200. So, I guess I could say that the null hypothesis is: H(0): \[H(0): \mu \le 200\]
In general, I think you understand. Knowing the sample mean is 215 is not enough, without more information, to claim that the population mean is above 200. With more information, you could state something like, "There is a 95% chance that the population mean is greater than 200 based on a sample mean of 215". But you would need more information... something like standard deviation... to calculate that.
Okay, I think I understand what you're saying.
It would be like sampling student heights in a classroom. You measure a sample of 5 kids' heights... you find the sample mean... but you would need more information to make a claim about the overall student population mean height in the school.
Oh, okay - that makes sense! Thank you very much! =)
Glad to help :) Good luck!