43. The probability of a type II error for the t test for H0:
1

10 can be computed in the same manner as it was computed for the t tests of Chapter 8. If the alternative value of

1 is denoted by

1, the value of d

is first calculated, then the appropriate set of curves in Appendix Table A.17 is entered on the horizontal axis at the value of

d, and
is read from the curve for n  2 df.

An article in the Journal of Public Health Engineering reports the results of a regression analysis based on n
15 observations in which x
filter application temperature

(°C) and y
% efficiency of BOD removal. Calculated quantities include
xi
402,
x2 i
11,098, s
3.725, and
ˆ

1
1.7035. Consider testing at level .01 H0:
1
1, which states that the expected increase in % BOD removal is 1 when filter application temperature increases by 1°C, against the alternative Ha:
1 1. Determine P(type II error) when

1
2,
4.