Answered: Many people believe that the average…

Name: Many people believe that the average number of Facebook friends is 135
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Many people believe that the average number of Facebook friends is 135. The population standard deviation is 36.2. A random sample of 39 high school students in a particular county revealed that the average number of Facebook friends was 155. At α=0.

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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Many people believe that the average number of Facebook friends is 135. The population standard deviation is 36.2. A random sample of 39 high school students in a particular county revealed that the average number of Facebook friends was 155. At α=0.10, is there sufficient evidence to conclude that the mean number of friends is greater than 135?

A) State the hypotheses and identify the claim with the correct hypothesis.

H₀:

H₁:

This hypotheses test is a _____ test.

B) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

C) Compute the test value. Always round z score values to two decimal places.

D) Make the decision.

__________ the null hypothesis.

E) Summarize the results

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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