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# Normal Distribution, Testing of Hypothesis

1. For any normal distribution, any value less than the mean would have a _______.

a) negative probability of occurring
b) negative z-score
c) positive z-score
d) negative variance

2. The diameter of 3.5 inch diskettes is normally distributed. Periodically, quality control inspectors at Dallas Diskettes randomly select a sample of 16 diskettes. If the mean diameter of the diskettes is too large or too small the diskette punch is shut down for adjustment; otherwise, the punching process continues. The last sample showed a mean and standard deviation of 3.49 and 0.08 inches, respectively. Using alpha = 0.05, the appropriate decision is _______.

a) do not reject the null hypothesis and shut down the punch
b) reject the null hypothesis and do not shut down the punch
c) reject the null hypothesis and shut down the punch
d) do not reject the null hypothesis and do shut down the punch

#### Solution Preview

1. For any normal distribution, any value less than the mean would have a _______.

a) negative probability of occurring
b) negative z-score
c) positive z-score
d) negative variance