A Study Reports the Results of a Regression Analysis Based $\degree$

A study reports the results of a regression analysis based on n = 15 observations in which x = filter application temperature ( $\degree$
C) and y = % efficiency of BOD removal. Calculated quantities include $\sum x _ { 1 } = 402 , \sum x _ { l } ^ { 2 } = 11,098 , s = 3.725 , \text { and } \hat { \beta } _ { 1 } = 1.7035$
a. Test at level .01 $H _ { 0 } : \beta _ { 1 } = 1$
which states that the expected increase in % BOD removal is 1 when filter application temperature increases by 1 $\degree$
C, against the alternative $H _ { \pm } : \beta _ { 1 } > 1$
b. Compute a 99% CI for $\beta _ { 1 } ,$
the expected increase in % BOD removal for a 1 $\degree$

C increase in filter application temperature.