43. The probability of a type II error for the t test for H0: 1 10...

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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.

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