Question: Please show all the necessary solutions. I. Problem 1 A random sample of monthly starting salaries (in thousand pesos) of university graduates in Metro Manila

Please show all the necessary solutions.

I.

Please show all the necessary solutions.I. Problem 1 A random sample ofmonthly starting salaries (in thousand pesos) of university graduates in Metro Manilais given below: Problem 2 A researcher wishes to estimate the numberof days it takes an automobile dealer to sell a Montero Sport.A sample of 50 cars had a mean time on the dealer'slot of 54 days. Assume that if follows a normal distribution andthe standard deviation is six (6) days. Compute the point estimate ofmean monthly starting salaries of university graduates: (Round off to 2 decimalplaces) What can you say about the confidence interval as the samplesize changes based on the results in Questions 6 and 9? OAs the sample size increases, the width of the confidence interval decreases.O As the sample size increases, the width of the confidence interval

Problem 1 A random sample of monthly starting salaries (in thousand pesos) of university graduates in Metro Manila is given below: Problem 2 A researcher wishes to estimate the number of days it takes an automobile dealer to sell a Montero Sport. A sample of 50 cars had a mean time on the dealer's lot of 54 days. Assume that if follows a normal distribution and the standard deviation is six (6) days. Compute the point estimate of mean monthly starting salaries of university graduates: (Round off to 2 decimal places) What can you say about the confidence interval as the sample size changes based on the results in Questions 6 and 9? O As the sample size increases, the width of the confidence interval decreases. O As the sample size increases, the width of the confidence interval also increases. O As the sample size decreases, the width of the confidence interval slightly changes. O There is insignificant change in the confidence interval as the sample size changes.Compute the point estimate of variance of the monthly starting salaries of university graduates: (Round off to 2 decimal places) Compute the point estimate of standard deviation of the monthly starting salaries of university graduates: (Round off to 2 decimal places) Compute the standard error of the mean estimate of the monthly starting salaries of university graduates: (Round off to 2 decimal places) Find a 95% confidence interval of the mean monthly starting salaries of university graduates: Do not use rounded values in your calculation. Try to use as much information (include as many digits after the decimal point) as you can from previously computed values. A. Margin of Error (Round off to 4 decimal places): B. 95% Confidence Interval (Round off to 2 decimal places):

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