Solved: A chemical process has produced, on the average,

Chapter 10, Problem 63E

(choose chapter or problem)

A chemical process has produced, on the average, 800 tons of chemical per day. The daily yields for the past week are \(785,805,790,793\), and 802 tons.

a  Do these data indicate that the average yield is less than 800 tons and hence that something is wrong with the process? Test at the \(5 \%\) level of significance. What assumptions must be satisfied in order for the procedure that you used to analyze these data to be valid?
b  Use Table 5 , Appendix 3 , to give bounds for the associated  -value.
c  Applet Exercise Use the applet Student's  Probabilities and Quantiles to find the exact  -value. Does the exact  -value satisfy the bounds that you obtained in part (b)?
d  Use the  -value from part (c) to decide at the \(5 \%\) significance level whether something is wrong with the process. Does your conclusion agree with the one that you reached in part (a)?

Equation transcription:

Text transcription:

785,805,790,793

5 \%

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