The 95% confidence interval for the population mean will have the following form. x+ (t critical value) The study was made up of 65 students with sample mean and standard deviation given to be 35.8 and 6.38, respectively, so we have n= 65, x- 35.8, and s - 6.38. The t critical value is based on n- 1 - 64 degrees of freedom and can be found from the table excerpt below. Central area captured 0.80 0.90 0.95 0.98 0.99 0.998 0.999 Confidence level 80% 90% 95% 98% 99% 99.8% 99.9% 40 1.30 1.68 2.02 2.42 2.70 3.31 3.55 Degrees of Freedom 60 1.30 1.67 2.00 2.39 2.66 3.23 3.46 120 1.29 1.66 1.98 2.36 2.62 3.16 3.37 Since there is not a row for 64 degrees of freedom, we will use the row for the closest degrees of freedom,-Select-V critical value will be found by moving along this row until reaching the column for the desired confidence level, 95%. Thus, the neededt The needed critical value is

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