Answered: Choose the correct conclusion of a…

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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25. Choose the correct conclusion of a hypothesis test of the claim, “The population mean number
of hours introductory statistics students spend studying per week is greater than 15.”
a. Fail to reject H0. We have enough evidence to conclude that the true population mean
number of hours introductory statistics students spend studying per week is greater
than 15.
b. Fail to reject H0. We do not have enough evidence to conclude that the true population
mean number of hours introductory statistics students spend studying per week is
significantly greater than 15.
c. Accept H0. We do not have enough evidence to conclude that the true population mean
number of hours introductory statistics students spend studying per week is significantly
greater than 15.
d. Reject H0. We have enough evidence to conclude that the true population mean
number of hours introductory statistics students spend studying per week is significantly
greater than 15.
e. Reject H0. We do not have enough evidence to conclude that the true population mean
number of hours introductory statistics students spend studying per week is significantly
greater than 15.
f. both a and d
g. both c and d
h. all a, c, and d

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

Given information

We are provided with the following statement in the question:

“The population mean number of hours introductory statistics students spend studying per week is greater than 15.”

Let μ be the population mean number of hours introductory statistics students spend studying per week.

Therefore, the hypothesis would be:

$\begin{array}{rcl} H_{o} : μ & \leq & 15 \\ H_{1} : μ & > & 15 \end{array}$

The test is right tailed.

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