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. 99,756 80,613 78,805 73,461 51,120 78,473 67,695 61,161 44,639 86,935 63,738 80,490 92,395 67,757 94,491 66,321 57,549 55,242 78,710 74,780 50,823 60,610 47,565 98,113 91,647 84,024 80,277 63,908 73,809 56,878 47,096 88,981 75,750 61,418 83,039 (a) Find the sample mean. (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. SH =(Type an integer or decimal rounded to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean. X= (Round to the nearest integer as needed.)

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