A company makes self-sealing stem bolts, which are supposed to average 2.00 cm in length. If the mean length is not 2.00cm, the machinery must be recalibrated. A random sample of 100 bolts has a mean length of 1.98cm, with a sample standard deviation is 0.08cm. At an α = 0.05 level of significance, analyze this situation using the steps shown below: (a) What is the population which is sampled? (b) Is this one or two tailed? (c) Clearly state both the null and alternative hypotheses.

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A company makes self-sealing stem bolts, which are supposed to average 2.00 cm in length. If the mean length is not 2.00cm, the machinery must be recalibrated. A random sample of 100 bolts has a mean length of 1.98cm, with a sample standard deviation is 0.08cm. At an α = 0.05 level of significance, analyze this situation using the steps shown below:
(a) What is the population which is sampled?
(b) Is this one or two tailed?
(c) Clearly state both the null and alternative hypotheses.
(d) Determine tcrit and tsamp.
(e) What decision do you make about your hypotheses? Briefly, interpret this answer in terms of the actual situation – what is the company’s reaction?
(f) Construct a 95% confidence interval for the mean bolt weight.

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