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## Mr. Van Miller would like to estimate the population mean for the Final test marks for the law module. He randomly selects final test marks (%) from 29 students from the 2020 class. This sample yields a mean mark of 54% and a standard deviation of 26.31%. It is assumed that the marks come from a normal distribution. To estimate the population mean mark, Mr. Van Miller insists on determining a 98% confidence interval. Use this information to answer the following questions: a. Determine the critical value:    b.  Determine the margin of error:   c. The lower limit of the confidence interval is:   d. The upper limit of the confidence interval is:

Mr. Van Miller would like to estimate the population mean for the Final test marks for the law module. He randomly selects final test marks (%) from 29 students from the 2020 class. This sample yields a mean mark of 54% and a standard deviation of 26.31%. It is assumed that the marks come from a normal distribution. To estimate the population mean mark, Mr. Van Miller insists on determining a 98% confidence interval.

Use this information to answer the following questions:

a. Determine the critical value:

b.  Determine the margin of error:

c. The lower limit of the confidence interval is:

d. The upper limit of the confidence interval is:

(1) Interpretation :Mr. Van Miller is 98% confident that the caculed interval contains the population mean mark

(2) Interpretation : 98% confident  that the calculed interval contains the population mean mark

(3) Interpretation : the population mean mark will fall within the calculated confidence interval 98% of time

(4) Interpretation : There is 98 % chance that the pop. mean mark is in the calculated inteval

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