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 comma 826 80 comma 284 78 comma 087 68 comma 144 51 comma 571 67 comma 154 93 comma 658 66 comma 234 79 comma 783 74 comma 146 44 comma 779 87 comma 042 60 comma 418 57 comma 805 55 comma 181 77 comma 933 47 comma 519 98 comma 469 81 comma 117 92 comma 762 63 comma 183 74 comma 360 50 comma 576 60 comma 289 91 comma 267 84 comma 217 79 comma 845 64 comma 496 73 comma 635 56 comma 767 46 comma 714 89 comma 212 75 comma 343 62 comma 283 82 comma 621 Question content area bottom Part 1 (a) Find the sample mean. x overbarequals 71906.29 (Type an integer or decimal rounded to two decimal places as needed.) Part 2 (b) Find the sample standard deviation. sequals 15381.85 (Type an integer or decimal rounded to two decimal places as needed.) Part 3 (c) Construct a 98% confidence interval for the population mean. enter your response hereless than mu less than enter your response here (Round to the nearest integer as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 comma 826 80 comma 284 78 comma 087 68 comma 144 51 comma 571 67 comma 154 93 comma 658 66 comma 234 79 comma 783 74 comma 146 44 comma 779 87 comma 042 60 comma 418 57 comma 805 55 comma 181 77 comma 933 47 comma 519 98 comma 469 81 comma 117 92 comma 762 63 comma 183 74 comma 360 50 comma 576 60 comma 289 91 comma 267 84 comma 217 79 comma 845 64 comma 496 73 comma 635 56 comma 767 46 comma 714 89 comma 212 75 comma 343 62 comma 283 82 comma 621 Question content area bottom Part 1 (a) Find the sample mean. x overbarequals 71906.29 (Type an integer or decimal rounded to two decimal places as needed.) Part 2 (b) Find the sample standard deviation. sequals 15381.85 (Type an integer or decimal rounded to two decimal places as needed.) Part 3 (c) Construct a 98% confidence interval for the population mean. enter your response hereless than mu less than enter your response here (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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