A magazine reported that at the top 50 business schools in a region, students studied an average of 14.4 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark. Complete parts (a) through (c) below. Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=14.4 H1: X≠14.4 B. H0: α≠14.4 H1: α=14.4 C. H0: α≠14.4 H1: β=14.4 D. H0: β=14.4 H1: β≠14.4 E. H0: μ≠14.4 H1: X=14.4 F. H0: μ=14.4 H1: μ≠14.4 G. H0: α=14.4 H1: β≠14.4 H. H0: β≠14.4 H1: β=14.4 I. H0: X≠14.4 H1: X=14.4 J. H0: α=14.4 H1: α≠14.4 K. H0: μ≠14.4 H1: μ=14.4 L. H0: X=14.4 H1: X≠14.4 Part 2 b. What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is different B. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is not different C. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is different Part 3 c. What is a Type II error for your test? A. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is not B. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is different C. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is not different

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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Question content area bottom

Part 1

a. State the null and alternative hypotheses. Choose the correct answer below.

H0:

μ=14.4

H1:

X≠14.4

H0:

α≠14.4

H1:

α=14.4

H0:

α≠14.4

H1:

β=14.4

H0:

β=14.4

H1:

β≠14.4

H0:

μ≠14.4

H1:

X=14.4

H0:

μ=14.4

H1:

μ≠14.4

H0:

α=14.4

H1:

β≠14.4

H0:

β≠14.4

H1:

β=14.4

H0:

X≠14.4

H1:

X=14.4

H0:

α=14.4

H1:

α≠14.4

H0:

μ≠14.4

H1:

μ=14.4

H0:

X=14.4

H1:

X≠14.4

Part 2

b. What is a Type I error for your test?

Concluding that the mean number of hours studied at your school

is different

from the reported

14.4

hour benchmark when in fact it

is different

Concluding that the mean number of hours studied at your school is different from the reported

14.4

hour benchmark when in fact it is not different

Concluding that the mean number of hours studied at your school is not different from the reported

14.4

hour benchmark when in fact it is different

Part 3

c. What is a Type II error for your test?

Concluding that the mean number of hours studied at your school is different from the reported

14.4

hour benchmark when in fact it is not

Concluding that the mean number of hours studied at your school is not different from the reported

14.4

hour benchmark when in fact it is different

Concluding that the mean number of hours studied at your school

is not different

from the reported

14.4

hour benchmark when in fact it

is not different

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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