According to a report, themeanofmonthly cell phonebillswas$49.47three years ago. A researcher suspects that themeanofmonthly cell phonebillsisdifferent fromtoday.(a)Determine the null and alternative hypotheses.(b)Explain what it would mean to make a Type I error.(c)Explain what it would mean to make a Type II error.(a) State the hypotheses. H0:▼ sigmaσppmuμ▼ equals=greater than>less than<not equals≠$H1:▼ sigmaσppmuμ▼ less than<greater than>not equals≠equals=$(Type integers or decimals. Do not round.)

From the given information, the mean of monthly cell phone bills was $49.47.

Answered: According to a report, the mean of…

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

According to a report, the

mean

monthly cell phone

bills

was

$49.47

three years ago. A researcher suspects that the

mean

monthly cell phone

bills

different from

today.

(a)	Determine the null and alternative hypotheses.
(b)	Explain what it would mean to make a Type I error.
(c)	Explain what it would mean to make a Type II error.

(a) State the hypotheses.

H0:

▼

sigmaσ

muμ

▼

equals=

greater than>

less than<

not equals≠

H1:

▼

sigmaσ

muμ

▼

less than<

greater than>

not equals≠

equals=

(Type integers or decimals. Do not round.)

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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