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Problem 4. Two coffee-packing machines, producing 100-gramms coffee cans are tested. Some cans were opened and amount of the coffee inside was precisely weighted. Sample of 8 cans packed by first machine resulted in mean 98.71 and standard deviation 2.38; Sample of 12 cans packed by second machine resulted in mean 101.87 and standard deviation Test the hypothesis at 5% significance level: 4.32. (a) H, : μ 14 against the alternative Hi :4 < A-Find P-value. (b) HO:14 100 against the alternative H, :14,#100. Find P-value. (c) H, :ơ_ος against the alternative Hioce (d) H,.: σ.oç against the alternative Hi:q: (e) Formulate the assumptions you have made in (a) (d)
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