Answered: baseball team claims that the mean…

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

A baseball team claims that the mean length of its games is

1.6

hours. State

and

in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

State the null hypothesis in words and in symbols. Choose the correct answer below.

The null hypothesis expressed in words is, "the mean length of a baseball team's games

1.6

hours." The null hypothesis is expressed symbolically as,

"H0:

μ=1.6."

The null hypothesis expressed in words is, "the mean length of a baseball team's games

is more than

1.6

hours." The null hypothesis is expressed symbolically as,

"H0:

μ≠1.6."

The null hypothesis expressed in words is, "the mean length of a baseball team's games

is at most

1.6

hours." The null hypothesis is expressed symbolically as,

"H0:

μ≤1.6."

The null hypothesis expressed in words is, "the mean length of a baseball team's games

is at least

1.6

hours." The null hypothesis is expressed symbolically as,

"H0:

μ≥1.6."

State the alternative hypothesis in words and in symbols. Choose the correct answer below.

The alternative hypothesis expressed in words is, "the mean length of a baseball team's games

is less than

1.6

hours." The alternative hypothesis is expressed symbolically as,

"Ha:

μ<1.6."

The alternative hypothesis expressed in words is, "the mean length of a baseball team's games

is more than

1.6

hours." The alternative hypothesis is expressed symbolically as,

"Ha:

μ>1.6."

The alternative hypothesis expressed in words is, "the mean length of a baseball team's games

is not equal to

1.6

hours." The alternative hypothesis is expressed symbolically as,

"Ha:

μ≠1.6."

The alternative hypothesis expressed in words is, "the mean length of a baseball team's games

1.6

hours." The alternative hypothesis is expressed symbolically as,

"Ha:

μ=1.6."

The hypothesis test is

▼

two dash tailedtwo-tailed

left dash tailedleft-tailed

right dash tailedright-tailed

because the

▼

alternative

null

hypothesis contains

▼

not equals .≠.

less than or equals .≤.

greater than .>.

greater than or equals .≥.

less than .<.

equals .

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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