Answered: Do hardcover and softcover books likely…

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

Question

Do hardcover and softcover books likely to be found on a professor's shelf have different number of pages? The Minitab output from the "2-sample t" procedure follows. Assume that the books are equivalent to a random sample.

Cover	N	Mean	StDev	SEMean
Hard	8	309	134	47
Soft	7	431.4	80.9	31
95% CI for mu (Hard) - mu (Soft): (-246, 2)
T-Test mu (Hard) = mu (Soft)(vs not =): T = -2.16
P = 0.054	DF = 11

(a) Give the null and alternative hypotheses using symbols.
H₀: mu₁ - mu₂ ? = ≠ 0
H_a: mu₁ - mu₂ ? = ≠ 0

(b) What is the value of the test statistic t?
t =

(c) Identify the numbers that were used to compute the t-statistic, and verify that the reported value is correct. (Round the answer to two decimal places.)

xbar₁ =
xbar₂ =
standard error of xbar₁ - xbar₂ (this is the denominator of the test statistic)

(d) What conclusion would be made using a .05 level of significance? Write the conclusion in statistical terms and in the context of the problem.
? Reject Do not reject the null hypothesis. There is ? sufficient insufficient evidence to conclude that the mean number of pages in hardcover books is different from the mean number of pages in softcover books in the population represented by the sample.

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 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Finite State Machine$

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