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. 100,481 80,500 77,492 68,137 51,154 67,844 94,595 65,771 78,913 73,903 44,543 87,265 60,856 57,435 54,820 77,763 47,477 98,525 81,061 92,856 63,650 74,364 50,811 60,577 91,155 83,675 80,486 63,963 73,792 56,780 47,040 88,929 75,943 61,491 82,415 (a) Find the sample mean. x= (Type an integer or decimal rounded to two decimal places as needed.)
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. 100,481 80,500 77,492 68,137 51,154 67,844 94,595 65,771 78,913 73,903 44,543 87,265 60,856 57,435 54,820 77,763 47,477 98,525 81,061 92,856 63,650 74,364 50,811 60,577 91,155 83,675 80,486 63,963 73,792 56,780 47,040 88,929 75,943 61,491 82,415 (a) Find the sample mean. x= (Type an integer or decimal rounded to two decimal places as needed.)
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. 100,481 80,500 77,492 68,137 51,154 67,844 94,595 65,771 78,913 73,903 44,543 87,265 60,856 57,435 54,820 77,763 47,477 98,525 81,061 92,856 63,650 74,364 50,811 60,577 91,155 83,675 80,486 63,963 73,792 56,780 47,040 88,929 75,943 61,491 82,415 (a) Find the sample mean. x= (Type an integer or decimal rounded to two decimal places as needed.)
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.
100,481
80,500
77,492
68,137
51,154
67,844
94,595
65,771
78,913
73,903
44,543
87,265
60,856
57,435
54,820
77,763
47,477
98,525
81,061
92,856
63,650
74,364
50,811
60,577
91,155
83,675
80,486
63,963
73,792
56,780
47,040
88,929
75,943
61,491
82,415
(a) Find the sample mean.
x=
(Type an integer or decimal rounded to two decimal places as needed.)
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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