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The diameter of 3.5 inch diskettes is normally distributed. Periodically, qualit

ID: 3057147 • Letter: T

Question

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 3.54 and 0.08 inches, respectively. Using a 1% significance level, the appropriate decision is _______.

1.reject the null hypothesis and do not shut down the punch

2. do not reject the null hypothesis and do not shut down the punch

3. do not reject the null hypothesis and shut down the punch

4.reject the null hypothesis and shut down the punch

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 3.5
HA : 3.5

Hypothesis test results:

Since p - value is greater than 0.01,

do not reject the null hypothesis and do not shut down the punch.

Option 2 is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value 3.54 0.02 15 2 0.0639
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