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4. In a soft-drink facility A, a sample of 60 bottles gave the mean no. of defects as 15.96 and the sample variance as 0.2. Consider the following hypothesis: Ho : ? 16 Ha : ? 16 a) Test the hypothesis at 5% level. [3] b) Assuming a normal population and a sample of 20 bottles instead, test the same hypothesis at 5% level if mean and variance are same as before. [3] c) If in an another facility B, a sample of 40 bottles gave the mean no. of defects as 12.32 and the sample variance as 0.4, construct a 95% interval for ?-?2. [4]
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ケー 서 .-( 15-96-16) Co 2) arvcl a .502, 3.7774

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