A. Find the sample meanB. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean(Please what numbers you are putting into the formula, therefore I can understand) 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.99,35880,31877,69567,62251,45867 48793,976 66,202 o78,76273,84544,58787,24960,76757,432 55,286 78,45947,73199,36080,94792.83763,86475,020 50,55560,69791,37784,05580,41263,87074,54056,98047,14089,58675,86061,86282,341(a) Find the sample mean.(Type an integer or decimal rounded to two decimal places as needed.)(b) Find the sample standard deviation.(Type an integer or decimal rounded to two decimal places as needed.)(c) Construct a 98% confidence interval for the population mean.(Round to the nearest integer as needed.)

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A. Find the sample mean B. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean (Please what numbers you are putting into the formula, therefore I can understand)

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.
99,358
80,318
77,695
67,622
51,458
67 487
93,976 66,202 o
78,762
73,845
44,587
87,249
60,767
57,432 55,286 78,459
47,731
99,360
80,947
92.837
63,864
75,020 50,555
60,697
91,377
84,055
80,412
63,870
74,540
56,980
47,140
89,586
75,860
61,862
82,341
(a) Find the sample mean.
(Type an integer or decimal rounded to two decimal places as needed.)
(b) Find the sample standard deviation.
(Type an integer or decimal rounded to two decimal places as needed.)
(c) Construct a 98% confidence interval for the population mean.
(Round to the nearest integer 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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