Hi I need help on what is the answer for this four stats problem. Below are the questions and answers with explanation is recommended. References and other concerns will be in the comment section. I hope that you can help me and surely I will give you full positive feedbacks

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Learning Activity Perform as indicated. 1. A company manufactures impellers for use in jet-turbine engines. One of the operations involves grinding a particular surface finish on a titanium alloy component. Two different grinding processes can be used, and both processes can produce parts at identical mean surface roughness. The manufacturing engineer would like to investigate if the two processes have different variability in surface roughness. A random sample of 10 parts from the first process results in a sample standard deviation of 4.7 microinches, and a random sample of 6 parts from the second process results in a sample standard deviation of 5.1 microinches. Assuming that the two processes are independent and that surface roughness is normally distributed. Use 5% level of significance.Learning Activity Perform as indicated: 1. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 800 hours and a standard deviation of 40 hours. Using 0.05 level of significance, find the confidence interval estimate for the population mean and then test the hypothesis that # = 800 hours against the alternative # # 800 hours if a random sample of 30 bulbs has a mean life of 788 hours. Use a 0.05 level of significance. (Hint: a is known) 2. An automated filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s'= 0.0153 sq. fl. oz. If the variance of fill volume exceeds 0.01 sq. fl. oz., an unacceptable proportion of bottles will be underfilled or overfilled. Is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles? Use a= 0.05, and assume that fill volume has a normal distribution. Use the confidence interval estimate for the population variance to test the hypothesis.Learning Activity Perform as indicated: 1. An automated filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s2= 0.0153 sq. fl. oz. If the variance of fill volume exceeds 0.01 sq. fl. oz., an unacceptable proportion of bottles will be underfilled or overfilled. Is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles? Use a = 0.05, and assume that fill volume has a normal distribution