Answered: Is this a left-tail, right-tail or…

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

Homework Questions (extra for practice, not graded) :
1. Use the t Distribution Table in Appendix A. The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years. Can it be concluded at alpha = 0.05 that the mean age of those playing the slot machines is less than those playing roulette? See Example 9-4

Is this a left-tail, right-tail or two-tailed test?
What is the degree of freedom (d.f.)? =
WHAT IS THE COLUMN VALUE TO USE IN THE TABLE?
WHAT IS THE CRITICAL VALUE (CV) FROM THE TABLE?
For the t calculation, what is the numerator?
For the t calculation, what is the denominator?
WHAT IS Z?

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

Step 1: Write the given information

Let $x with bar on top subscript 1 space comma n subscript 1 space a n d space S subscript 1$ be the sample mean, size, and standard deviation of sample 1. (slot machines) and,

$x with bar on top subscript 2 space comma n subscript 2 space a n d space S subscript 2$ be the sample mean, size, and standard deviation of sample 2. (roulette).

Given,

$x with bar on top subscript 1 space equals 48.7 n subscript 1 equals 25 space S subscript 1 equals 6.8$

$x with bar on top subscript 2 space equals 55.3 n subscript 2 equals 35 space S subscript 2 equals 3.2$

level of significance = 0.05

The difference between 2 means is being tested.