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WeekPoints113.70219.4038.6048.1055.70633.90IME 2610 Homework #5*This assignment is due in class on 10/28. Please show work so that partial credited can be awarded.1. Consider a 95% confidence interval with a standard deviation of 7 and a sample size of 12.A. If the standard deviation was increased to 9 what would happen to the width of the interval?B. If the sample size was changed to 6 what would happen to the width of the interval?C. If the confidence decreased to 90% what would happen to the width of the interval?D. Why is a prediction limit wider than a confidence limit given the same data and same alpha?4. At a local manufacturing facility that produces mattresses the quality department is in charge