Purchase Solution

Correct Hypothesis for Different Variances

Not what you're looking for?

Ask Custom Question

1. A company has two different processes that make credit cards. Suspecting that machine B has a higher variability than machine A the manager orders a test to be run. The following data was collected:
Machine A Machine B
Sample size nA= 30 nB=40
Sample Standard Deviation sA= 1.0 sB= 1.7
a. Select the correct hypothesis to test for the difference in the variances.
1. 2.

3. 4.

b. What is the critical value of the F distribution?

c. Perform the test at the .05 level of significance. What is the observed value of the F distribution?

d. What are your conclusions?

2. The null hypothesis and the alternate are:
H0: The cell categories are equal
H1: The cell categories are not equal

Category Observed
A 10
B 20
C 30
Assume a significance level of 5%.
a. What is the critical value of the Chi-square?
b. Compute the observed value of Chi-square.
c. What is your decision regarding H0?

3. Complete the ANOVA summary table shown here.

Source of Variation Sum of Squares Degrees of freedom Mean Square F observed
Between Treatments
150.2
9
Error (Within Treatments)
200.7
Sums of Squares of Total
39

a. How many treatments are there?
b. What is the total sample size?
c. Is there a significant difference at the 5% Level of significance? Would I accept or reject the null Hypothesis. i.e. what is the critical value of the test statistic?

Attachments
Purchase this Solution

Solution Summary

The solution determines the correct hypothesis for difference variances. The critical value of the F distribution are determined.

Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.