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.99,60681,24678,31967,41351,38667,79393,61266,379 78,58574,42844,71786,15860,68957,60454,60977,910 47,31598,28380,67492,97763,41874,70450,71861,151 91,74783,72979,88164,38673,50757,09446,89389,013 75,63662,10282,815 (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.)

Name: The annual earnings (in dollars) of 35 randomly selected microbiologi
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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 populati

a) Sample mean: sample mean=∑xin=99,606+81,246+...+82,81535=2,516,49735=71,900 Therefore, the sample…

Answered: The annual earnings (in dollars) of 35…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

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.)

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions