11. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for he scale is to be recalibrated if either x 
10.1032 or x  9.8968. What is the probability that recalibration is carried out when it is actually unnecessary?

c. What is the probability that recalibration is judged unnecessary when in fact
10.1? When
9.8?

d. Let z
(x  10)/(/n). For what value c is the rejection region of part

(b) equivalent to the “two-tailed”
region either z  c or z  c?

e. If the sample size were only 10 rather than 25, how should the procedure of part

(d) be altered so that 
.05?

f. Using the test of part (e), what would you conclude from the following sample data:
9.981 10.006 9.857 10.107 9.888 9.728 10.439 10.214 10.190 9.793 g. Reexpress the test procedure of part

(b) in terms of the standardized test statistic Z
(X  10)/(/n).