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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. 99,790 80,966 77,549 67,209 51,244 67,851 93,601 65,537 78,564 74,400 44,297 86,547 60,598 58,254 55,006 78,213 48,026 99,082 80,890 92,561 63,836 74,871 50,754 60,507 91,463 83,755 80,015 64,554 74,072 57,243 47,074 89,955 75,736 62,299 82,764 (a) Find the sample mean. x= (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. s=(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.)