Confidence Interval Estimation The manufacturer of Ice Melt claims that its products will melt snow and ice at temperatures as low as 0˚ Fahrenheit. A representative for a large chain of hardware stores is interested in testing this claim. The chain purchases a large shipment of 5-pound bags for distribution. The representative wants to know, with 95% confidence and within ±0.05, what proportions of bags of Ice Melt perform the job as claimed by the manufacturer   How many bags does the representative need to test? What assumption should be made concerning the population proportion? (This is called destructive testing; i.e., the product being tested is destroyedby the test and is then unavailable to be sold.) Suppose that the representative tests 50 bags, and 42 of them do the job as claimed. Construct a 95% confidence interval estimate for the population proportion that will do the job a claimed.

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Confidence Interval Estimation

The manufacturer of Ice Melt claims that its products will melt snow and ice at temperatures as low as 0˚ Fahrenheit. A representative for a large chain of hardware stores is interested in testing this claim. The chain purchases a large shipment of 5-pound bags for distribution. The representative wants to know, with 95% confidence and within ±0.05, what proportions of bags of Ice Melt perform the job as claimed by the manufacturer

 

How many bags does the representative need to test? What assumption should be made concerning the population proportion? (This is called destructive testing; i.e., the product being tested is destroyedby the test and is then unavailable to be sold.)

Suppose that the representative tests 50 bags, and 42 of them do the job as claimed. Construct a 95% confidence interval estimate for the population proportion that will do the job a claimed.

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