(15 points) The t statistic for a test of Ho : u = 30 HA : u # 30 based on n = 6 observations has the value t = 2.15_ Note that the alternative hypothesis has # in it, which will affect the process by ` which you bound the p-value below: (a) What are the degrees of freedom for this statistic? (b) Using the appropriate table in your formula packet; bound the p-value as closely as possible: p-value
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In this case, n = 6. So, the degrees of freedom are: df = 6 - 1 = 5 (b) Since the alternative hypothesis is HA: u ≠ 30, this is a two-tailed test. We need to find the area in both tails of the t-distribution with 5 degrees of freedom corresponding to the Show more…
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