Measurements from a normal distribution

Reference no: EM1319667

Assume that the measurements came from a normal distribution. The variability of the manufacturing process is unknown means the same as the standard deviation is unknown.

Auto crank shafts. Here are measurements (in millimeters) of a critical dimension for 16 auto engine crankshafts:

224.120	224.001	224.017	223.982	223.989	223.961
223.960	224.089	223.987	223.976	223.902	223.980
224.098	224.057	223.913	223.999

The dimension is supposed to be 224 mm and the variability of the manufacturing process is unknown. Is there evidence that the mean dimension is not 224mm?

1. The appropriate test to use is

a. TTest

b. 1-PropZtest

c. ZTest

d. Paired T test

2. The appropriate type of test to use based on the tails of the distribution

a. Left-tailed

b. Two-tailed

c. Right-tailed

3. The p-value of the test is closest to

a. 0.9289

b. 0.0431

c. 0.0134

d. 0.9019

4. Based on the above analysis (p-value and α= 0.025), we conclude that:

a. The mean dimension of the crankshafts is 224mm.

b. The mean dimension of the crankshafts is 224mm.

c. We do not have enough information to draw a conclusion

Reference no: EM1319667

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