Statistical Analysis and Confidence Interval Estimations

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Statistical Analysis and Confidence Interval EstimationsQuestion 1 of 201.0 PointsA lawyer researched the average number of years served by 45 different justices on the SupremeCourt.The average number of years served was 13.8 years with a standard deviation of 7.3 years.Whatis the 95% confidence interval estimate for the average number of years served by all Supreme Courtjustices?Place your limits, rounded to 1 decimal place, in the blanks.Place you lower limit in the firstblank.Place your upper limit in the second blank.When entering your answerdo not use any labels or symbols.Simply provide the numerical value.For example, 12.3 would be alegitimate entry.Answer:11.0 16.6Question 2 of 201.0 PointsIf a sample has 25 observations and a 99% confidence estimate foris needed, the appropriate value of the t-multiple requiredis.Place your answer, rounded to 3 decimal places, in the blank. For example, 3.456would be an appropriate entry.Answer:2.787Question 3 of 201.0 PointsYou are trying toestimate the average amount a family spends on food during a year. In the past, the standarddeviation of the amount a family has spent on food during a year has been$1200. If you want to be 99% surethat you have estimated average family food expenditures within $60, how many families do you need tosurvey?Place your answer, a whole number, in the blank. For example, 1234 would be a legitimateentry.Answer:417Question 4 of 201.0 PointsSenior management of a consulting services firm is concerned about a growing decline in the firm’s weekly numberof billable hours. The firm expects each professional employee to spend at least 40 hours per week on work. In aneffort to understand this problem better, management would like to estimate the standard deviation of the number ofhours their employees spend on work-related activities in a typical week. Rather than reviewing the records of all thefirm’s full-time employees, the management randomly selected a sample of size 51 from the available frame. Thesample mean and sample standard deviations were 48.5 and 7.5 hours, respectively.Construct a 99% confidence interval for the standard deviation of the number of hours this firm’s employees spendon work-related activities in a typical week.Place your LOWER limit, in hours, rounded to 1 decimal place, in the first blank. For example, 6.7 would be alegitimate entry.Place your UPPER limit, in hours, rounded to 1 decimal place, in the second blank. For example, 12.3 would be alegitimate entry.Answer:5.9, 9.5

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