Statistics and Confidence Interval Calculations Assignment

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Statistics and Confidence Interval Calculations AssignmentQuestion 1 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces(e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly statedvalues.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The percent defective for parts produced by a manufacturing process is targeted at 4%. The process ismonitored daily by taking samples of sizes n = 160 units. Suppose that today’s sample contains 14defectives.Determine a 95% confidence interval for the proportion defective for the process today.Place your LOWER limit, rounded to 3 decimal places, in the first blank. For example, 0.123 would be alegitimate answer.0.044Place your UPPER limit, rounded to 3 decimal places, in the second blank. For example, 0.345 would bea legitimate entry.0.131Question 2 of 201.0PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces(e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly statedvalues.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.After calculating the sample size needed to estimate a population proportion to within 0.05, you havebeen told that the maximum allowable error (E) must be reduced to just 0.025. If the originalcalculation led to a sample size of 1000, the sample size will now have to be4000. Place youranswer, as a whole number in the blank. For example, 2345 would be a legitimate entry.Question 3 of 201.0 Points

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Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces(e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly statedvalues.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Senior management of a consulting services firm is concerned about a growing decline in the firm’sweekly number of billable hours. The firm expects each professional employee to spend at least 40hours per week on work. In an effort to understand this problem better, management would like toestimate the standard deviation of the number of hours their employees spend on work-relatedactivities in a typical week. Rather than reviewing the records of all the firm’s full-time employees, themanagement randomly selected a sample of size 51 from the available frame. The sample meanandsample standard deviations were 48.5 and 7.5 hours, respectively.Construct a 95% confidence interval for the standard deviation of the number of hours this firm’semployees spend on 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 wouldbe a legitimate entry.6.3Place your UPPER limit, in hours, rounded to 1 decimal place, in the second blank. For example, 12.3would be a legitimate entry.9.3Question 4 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces(e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly statedvalues.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sample of 9 production managers with over 15 years of experience has anaverage salary of $71,000and a sample standard deviation of $18,000.Assuming that s = 18,000 is a reasonable estimate forwhat sample size would be needed to ensurethat we could estimate the true mean salary of all production managers with more than 15 yearsexperience within $4200 if we wish to be 95% confident? Place your answer, as a whole number, in theblank. Do not use a dollar sign, a comma, or any other stray mark. For examples, 34 would be a

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