71. Show that the test of Problem 5(i) reduces to (i) [x( nl - x(1)l/S < c for normal vs, uniform; (ii) [x - xod/S < c for normal vs. exponential; (iii) [x - x o d / [x(n) - xod < c for uniform vs. exponential. (Uthoff,1970 .) Note . When testing for normality, one is typically not interested in distinguishing the normal from some other given shape but would like to know more generally whether the data are or are not consonant with a normal distribution. This is a special case of the problem of testing for goodness of fit, briefly referred to at the end of Section 13. Methods particularly suitable for testing normality are discussed for example in Shapiro, Wilk, and Chen (1968), Hegazy and Green (1975), D'Agostino (1982), Hall and Welsh (1983), and Spiegelhalter (1983), and for testing exponentiality in Galambos (1982), Brain and Shapiro (1983), Spiegelhalter (1983), Deshpande (1983), Doksum and Yandell (1984), and Spurrier (1984). See also Kent and Quesenberry (1982).