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. 99,606 81,246 78,319 67,413 51,386 67,793 93,612 66,379   78,585 74,428 44,717 86,158 60,689 57,604 54,609 77,910   47,315 98,283 80,674 92,977 63,418 74,704 50,718 61,151   91,747 83,729 79,881 64,386 73,507 57,094 46,893 89,013   75,636 62,102 82,815                 ​(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.     ________<μ<________ ​(Round to the nearest integer as​ needed.)

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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.

99,606

81,246

78,319

67,413

51,386

67,793

93,612

66,379

 

78,585

74,428

44,717

86,158

60,689

57,604

54,609

77,910

 

47,315

98,283

80,674

92,977

63,418

74,704

50,718

61,151

 

91,747

83,729

79,881

64,386

73,507

57,094

46,893

89,013

 

75,636

62,102

82,815

 

 

 

 

 

 

 

 

​(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.

 

 

________<μ<________

​(Round to the nearest integer as​ needed.)

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