For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is less thanless than 119119. Sample data: nequals=1313, x overbarxequals=117117, sequals=33. The significance level is alphaαequals=0.05. LOADING... Click the icon to view a table of critical t-values. a. Choose the correct null hypothesis (Upper H 0H0) and alternative hypothesis (Upper H 1H1). A. Upper H 0H0: muμless than<119119 Upper H 1H1: muμequals=119119 Your answer is not correct. B. Upper H 0H0: muμless than<119119 Upper H 1H1: muμgreater than>119119 C. Upper H 0H0: muμequals=119119 Upper H 1H1: muμnot equals≠119119 D. Upper H 0H0: muμequals=119119 Upper H 1H1: muμless than<119119 This is the correct answer.

Name: For the following claim, find the null and alternative hypotheses, t
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Description: For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The

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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For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d.

Claim: The mean IQ score of statistics professors is

less thanless than

119119.

Sample data:

nequals=1313,

x overbarxequals=117117,

sequals=33.

The significance level is

alphaαequals=0.05.

Click the icon to view a table of critical t-values.

a. Choose the correct null hypothesis

(Upper H 0H0)

and alternative hypothesis

(Upper H 1H1).

Upper H 0H0:

muμless than<119119

Upper H 1H1:

muμequals=119119

Your answer is not correct.

Upper H 0H0:

muμless than<119119

Upper H 1H1:

muμgreater than>119119

Upper H 0H0:

muμequals=119119

Upper H 1H1:

muμnot equals≠119119

Upper H 0H0:

muμequals=119119

Upper H 1H1:

muμless than<119119

This is the correct answer.

b. Determine the test statistic t.

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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