Hey, anon from another board here, I'm stuck on my statistics assignment and figured this would be a good place to ask questions.
It's a first year course so this should be literal child's play tier material for you guys. Essentially, I need to determine if there's a reason to believe the true mean isn't 4, given a sample mean of 4.014 for one question, and 3.979 for another. In both questions the standard deviation is 0.05 and alpha, or the acceptable probably of a type 1 error, is 0.01. So I figure I need to make a 99% confidence interval, which is easy cause it's just the mean +/- 3 standard deviations, which is why I suspect I'm approaching the question wrong, it's TOO easy, plus it just sorta FEELS like that's not quite right. But I'm not sure what exactly the issue is, if there even is one.
Can anyone who understands statistics help me out? I'm probably just missing something obvious
It's a first year course so this should be literal child's play tier material for you guys. Essentially, I need to determine if there's a reason to believe the true mean isn't 4, given a sample mean of 4.014 for one question, and 3.979 for another. In both questions the standard deviation is 0.05 and alpha, or the acceptable probably of a type 1 error, is 0.01. So I figure I need to make a 99% confidence interval, which is easy cause it's just the mean +/- 3 standard deviations, which is why I suspect I'm approaching the question wrong, it's TOO easy, plus it just sorta FEELS like that's not quite right. But I'm not sure what exactly the issue is, if there even is one.
Can anyone who understands statistics help me out? I'm probably just missing something obvious
