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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.

99,

90899,908

80, 88380,883

77, 66177,661

68, 02368,023

51, 91151,911

67, 87367,873

94, 77994,779

65, 89365,893

78, 75878,758

73, 54673,546

44, 85944,859

87, 04987,049

60, 90560,905

57, 39457,394

55, 01655,016

78, 25278,252

47, 61047,610

99, 41299,412

81, 36281,362

93, 09693,096

63, 73963,739

74, 88974,889

51, 05251,052

60, 57560,575

91, 69491,694

83, 86183,861

80, 24080,240

64, 08964,089

74, 59474,594

57, 22357,223

46, 56446,564

89, 41889,418

75, 05075,050

62, 07962,079

82, 95282,952

Question content area bottom.

Part 1

(a) Find the sample mean.

overbar x= ________ enter your response here

(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.

__________ less than p less than ___________ (rounded tothe nearest integer as needed).

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