With reference to Problem 10.34, suppose it is considered an important difference from the hypothesized value of the mean if the average typing speed is at least 64:0 wpm. Determine the probability of (a) Type I error and (b) Type II error.
A random sample of 30 employees at the Secretary II level in a large organization take a standardized word processing test. The sample results are X = 63:0wpm (words per minute) with σ = 5:0 wpm. Test the null hypothesis that the word-processing operators in general do not exceed a keyboarding speed of 60 wpm, using the 1 percent level of significance.