The annual earnings (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to (a) find the sample mean, (b) find the sample standard deviation, and (c) construct a 98% confidence interval for the population mean. 99,714 80,587 77,739 68,186 51,847 78,675 74,043 67,469 94,467 65,553 D 44,670 86,691 61,294 57,644 54,809 77,939 74,664 50,775 61,190 56,986 46,591 88,868 47,874 99,204 80,457 79,523 83,047 92,808 63,361 92,482 84,445 63,871 73,481 76,047 62,084 (a) Find the sample mean. (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. = Type an integer or decimal rounded to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean. (Round to the nearest integer as needed.)

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