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 99.972 81,305 78,137 67,858 51,838 79,240 74,148 44,549 87,451 60,700 47,464 98,737 80,762 92,464 63.491 92,559 83,701 80,478 63,639 73,875 75,966 61,433 82,287 67,461 94,046 66,482 57,553 55,310 78.255 74,718 50,833 60,385 56.794 47,140 89,054 (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 O (Round to the nearest integer as needed.)

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