Applet Exercise Refer to Example 7.5. If σ2 = 1 and n = 10, use the applet Chi-Square Probabilities and Quantiles to find P(S2 ≥ 3). (Recall that, under the conditions previously given. 9S2 has a χ2 distribution with 9 df.)
7.5 In Example 7.2, the ounces of fill from the bottling machine are assumed to have a normal distribution with σ2 = 1. Suppose that we plan to select a random sample of ten bottles and measure the amount of fill in each bottle. If these ten observations are used to calculate S2, it might be useful to specify an interval of values that will include S2 with a high
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Mathematical Statistics with Applications
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