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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,

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.

100, 611100,611

81, 24081,240

78, 21178,211

67, 66467,664

51, 36751,367

67, 49267,492

94, 55194,551

66, 16766,167

78, 57278,572

74, 12274,122

44, 91344,913

86, 10186,101

60, 48260,482

57, 63657,636

54, 62354,623

77, 76277,762

47, 35947,359

99, 38099,380

80, 53480,534

92, 33592,335

63, 25263,252

75, 05675,056

50, 83450,834

60, 67160,671

91, 32691,326

83, 46883,468

79, 30779,307

64, 38264,382

74, 60874,608

57, 27757,277

46, 92746,927

90, 00890,008

75, 12475,124

62, 11662,116

82, 18182,181

Question content area bottom

Part 1

(a) Find the sample mean.

x overbar equals=enter your response here

(Type an integer or decimal rounded to two decimal places as needed.)

Part 2

(b) Find the sample standard deviation.

s equals=enter your response here

(Type an integer or decimal rounded to two decimal places as needed.)

Part 3

(c) Construct a 98% confidence interval for the population mean.

enter your response here less than mu less than<

(Round to the nearest integer as needed.)

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