A chemical plant is expected to have a mean daily production of at least 740 tons when it is properly operating. A quality control engineer has measured the output on a simple random sample of 60 days. The sample had a mean of 730 tons/day and a standard deviation of 24 tons/day. The engineer is required to judge whether the plant is producing as per expectations. (i). Write down the null and alternative hypothesis using correct symbols.. (iii). Show the rejection region graphically at 5% level.. (iv). Should the null hypothesis be rejected at 5% level? Based on your answer explain, whether the plant is operating properly..

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A chemical plant is expected to have a mean daily production of at least 740 tons when it is properly operating. A quality control engineer has measured the output on a simple random sample of 60 days. The sample had a mean of 730 tons/day and a standard deviation of 24 tons/day. The engineer is required to judge whether the plant is producing as per expectations.

(i). Write down the null and alternative hypothesis using correct symbols..

(iii). Show the rejection region graphically at 5% level..

(iv). Should the null hypothesis be rejected at 5% level? Based on your answer explain, whether the plant is operating properly..

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