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The Meaning of a 95% T Confidence Interval for the Mean
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[QUOTE="FredericChopin, post: 4961061, member: 458053"] [h2]Homework Statement [/h2] A diet pill is given to 9 subjects over six weeks. The average difference in weight (follow up - baseline) is -2 pounds. What would the standard deviation have to be for the 95% T confidence interval to lie entirely below 0? ANSWER: Around 2.6 pounds or less Refer to the previous question. The interval would up being [-3.5, -0.5] pounds. What can be said about the population mean weight loss at 95% confidence? A: We can not rule out the possibility of no mean weight loss at 95% confidence. B: There is support of mean weight gain at 95% confidence. C: There is support at 95% confidence of mean weight loss. D: We can not rule out the possibility of mean weight gain at 95% confidence. [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] I have three attempts to answer this question. On my first attempt, I said D, thinking that since 5% of intervals do not contain the population mean, there is a chance that the population mean could be positive (and there a mean weight gain). But I got the wrong answer, and I don't understand why. On my second attempt, I thought that "weight gain" wasn't necessarily going to occur but "no mean weight loss" was, so I chose A, and I still got the wrong answer. I am surprised that confidence intervals will guarantee a support (as the remaining answers of the question suggest), so I now think the answer is C. B sounds ridiculous, because it doesn't make sense why there is support for mean weight [I]gain[/I] at 95% confidence. Can someone help me understanding the question? I hope I finally get this question right. Thank you. [/QUOTE]
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The Meaning of a 95% T Confidence Interval for the Mean
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