A chemical engineer found that by adding different amounts of an additive to gasoline, she could reduce the amount of nitrous oxides (NOx) coming from an automobile engine A specified amount was added to a gallon of gas and the total amount of NOx in the exhaust collected Suppose, in suitable units, the data are (a) Obtain the least squares fit, of a straight line, to the amount of NOx (b) Test whether or not the slope ( beta 0 ) Take ( alpha ) 0 10 as your level of significance (c) Give a 99 confidence interval for the mean value of NOx when the amount of additive is 9 (d) What additional danger is there when using your estimate in part (c) Amount of additive 1 2345 NOx 19 17 14 13 12

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Question: A chemical engineer found that by adding different amounts of an additive to gasoline, she could reduce the amount of nitrous oxides (NOx) coming from

A chemical engineer found that by adding different amounts of an additive to gasoline, she could reduce the amount of nitrous oxides (NOx) coming from an automobile engine. A specified amount was added to a gallon of gas and the total amount of NOx in the exhaust collected. Suppose, in suitable units, the data are Amount of additive 1 2345 NOx 19 17 14 13 12

(a) Obtain the least squares fit, of a straight line, to the amount of NOx.

(b) Test whether or not the slope $\beta=0$. Take $\alpha=$ 0.10 as your level of significance.

(c) Give a 99% confidence interval for the mean value of NOx when the amount of additive is 9 .

(d) What additional danger is there when using your estimate in part (c)?

Amount of additive 1 2345 NOx 19 17 14 13 12

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