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Is this right? 1. (5 points) A company makes self-sealing stem bolts, which are supposed to average 2.00 cm in length. If the mean length

Is this right?

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1. (5 points) 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 a = 0.05 level of significance, analyze this situation using the steps shown below: (a) What is the population which is sampled? in length. The population sampled is self- sealing bolts, length, with a supposed average of 2.00 km (b) Is this one or two tailed? two -tailed test (c) Clearly state both the null and alternative hypotheses. Ho : 1= 2.00 , doesn't have to recalibrate machine H: H . # 2:00 , do have to recalibrate machine (d) Determine terit and tsamp: Sample has * : 1. 98, 3 = 0.08 SX = 0.08/ 7100 = 0.008 +crit = 1.984 ( found in + table) + samp = ( 1.98 - 2,00)/0.008 = -2.5 (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? We reject Ho. Therefore, our sample giving strong statistical evidence to claim that the machinery doesn't have to be recalibrated. (f) Construct a 95% confidence interval for the mean bolt weight. [1. 96, 2. 00] ( from excel)

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