Purchase Solution

A hypothesis test to determine if there is a significant difference in means across two groups.

Not what you're looking for?

Ask Custom Question

The American Association of University Professors conducts salary studies of college professors and publishes its finding in the AAUP Annual Report. College professors are divided into two populations: faculty in public institutions and faculty in private institutions. The summary statistics for the starting salaries of the two populations are given below. Use the traditional method to test for a difference in the means of the two groups at the 0.02 level of significance. Find the 98% confidence interval for the difference between the two means and interpret the result.

Institution
Sample 1:Public mean -$33,890 sd-$1,820 n-37
Sample 2: Private mean- $32,610 sd-$1,730 n-35.

Purchase this Solution
Solution Summary

The following outlines the process for determining if there is a significant difference in means across two groups. Additionally a 98% confidence interval is calculated.

Solution Preview

Please refer to the attachment.

Find the 98% confidence interval for the difference between the two means
Let Md=µ2-µ1= (-$32,610) - (-$33,890)= 1280
Applying the general formula,

The estimated standard error , is computed assuming that the variances in the two populations are equal. when n1 n2. The first difference is that MSE is computed differently. If the two values ...

Purchase this Solution
Free BrainMass Quizzes
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.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

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

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.

View More Free Quizzes
Related BrainMass Solutions

  • Experimental Design and Analysis

    Ho = There is no difference between the sample means of the training groups Ha = There is a difference between means of the training groups 2.

  • ANOVA and Significance Levels

    Just like you would use a z-test or a t-test to see if two groups have significantly different means, you would use ANOVA to compare the means of three or more groups. In other words, ANOVA is like a t-test for more than two groups.

  • Independent Sample/F Distribution/Type I Error

    Why is the F distribution important? How do you determine if a significant difference exists among the groups in ANOVA? How do you determine differences between the groups in ANOVA? a.

  • ANOVA Analysis Of College Student's Age Survey

    We can see that in this example if the significance level is below 0.05, there is a statistically significant difference between the group means of ages of students in each year of college.

  • A hypothesis testing on equal means for two groups

    Conclusion: we have evidence to claim that there is no significant difference in the scores between the two groups. The solution gives detailed steps on conducting a hypothesis testing on equal means for two groups.

  • Hypothesis Testing for Graded Assignment

    Using the sample of 200 students (in the data file), conduct a hypothesis test using Analysis of Variance to determine if there is a difference in the mean GPA for those who are unemployed vs. work part-time vs. work full-time.

  • Independent sample t test: Times required by sprinters

    (µ1= µ2) The alternative hypothesis is H1: There is significant difference in the mean time required by the two groups. (µ1 ≠ µ2) Calculate the mean and standard deviation for each group.

  • Testing Procedure, p-Value and Confidence Interval

    Here independent sample t test can be applied. H0: There is no significant difference in the mean calcium intake among the two groups. H1: There is significant difference in the mean calcium intake among the two groups.

  • difference between the chi-square goodness-of-fit test and t tests

    For independent t-tests, the null hypothesis states there is no significant difference between the two sample means. The alternative hypothesis is that there is significant difference between the two sample means.

  • Statistics and Hypothesis Testing Practice Quiz

    As a result of the test, one can concluded that: a. that there is a significant difference in the success rates of the two groups. b. that there is not a significant difference in the success rates of the two groups.

View More Related Solutions