A. Find the sample mean B. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean (please show what numbers you are putting into the formula for part b)
A. Find the sample mean B. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean (please show what numbers you are putting into the formula for part b)
A. Find the sample mean B. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean (please show what numbers you are putting into the formula for part b)
A. Find the sample mean B. Find the sample standard deviation
C. Construct a 98% confidence interval for the population mean
(please show what numbers you are putting into the formula for part b)
Transcribed Image Text: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.
99,649
80,807
77,417 67,833
51,552
68,093 94,046 66,134 E
79,445
73,761
44,839
86,469
60,365
57,825 54,921
78,493
47,859
98,985
80,517 92,071
63,096 74,039 50,647 60,591
92,289
83,490
80,113 64,169
74,203
56,909 47,197 89,794
75,923
62,124
83,078
(a) Find the sample mean.
x = 71964.1 (Type an integer or decimal rounded to two decimal places as needed.)
(b) Find the samnle standard deviation
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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