Estimating and testing for means We will work with the following (sorted) data, assumed to represent...

Estimating and testing for means We will work with the following (sorted) data, assumed to represent a simple random sample from a normal distribution

−1.0173 −0.3243 0.36416 0.96709 −0.7724 −0.1004 0.49382 0.98607 −0.7492 −0.0661 0.49734 1.08517 −0.6438 0.08449 0.51945 1.15909 −0.5727 0.11064 0.64080 1.23061 −0.4562 0.15022 0.66312 1.30328 −0.3986 0.25865 0.84739 1.57912

The usual summaries are Sum 7.83952 Count 28 Sum of squares 16.1280 1. Confidence Intervals Determine a confidence interval for the mean of the normal distribution we sampled above, for at least one confidence level of your choice. Of course, we don’t know the true variance. 2. Statistical Test: Significance Perform a test at a significance level of your choice with the following hypotheses: H0: μ = 0 H1: μ ≠ 0 What was the p – value of your test? Note: If you use tables, they will, most likely, not provide you with a precise p – value, but you can get bounds, as in “no less than.../no more than...”. A spreadsheet will have no problem at all. Of course, this is a t-test.

Use the "simple calculator" method.

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orchestra answered 1 year ago

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