# Project #40211 - Statistics 4 Hypothesis Tests for Two or More Samples

**The initial response should be at least 100 words. In addition, you should also reply to any questions classmates may have about your own post. The replies to classmates should be at least 50 words each and should be direct replies to classmates’ initial posts. ALL WORK SHOULD BE ORIGINAL AND PLAGIRISM FREE. PLEASE USE REFERENCES AND CITE. ALL COMPLETED WORK IN THE ASSIGNMENT WILL HAVE TO COME FROM THE READING MATERIAL I HAVE PROVIDED AND BY INSTRUCTIONS I’VE GIVEN PER MY PROFESSOR.

The reference for this assignment in APA is: Mirabella, J. (2011). Introduction to statistics. Retrieved: https://www.betheluniversityonline.net/cps.

**********Please read all instructions and attachments. It will include pertinent information to complete the assignment.**************************

Discussion question #1. (100 words minimum)

Choose a single variable in your own organization or another organization in which you are interested.  Write a hypothesis that you might test to compare two or more samples of that single variable. Clearly state your null hypothesis in terms of how or whether you expect the value for the variable to vary between samples. Then describe the test you would use (are you using a directional or non-directional test? are you using a two sample test for a mean or proportion? are are you using ANOVA?). Finally describe the samples you would need to take (what are the sample sizes? how would they be selected?). To support your choice of test include a brief discussion of the type of variable you have (nominal, ordinal, etc.), the number of samples involved, and whether the samples are related or independent.  Include the name of the variable you have chosen in the title of your post.  In the replies to your classmates indicate how your organization might use hypothesis tests similar to the ones your classmates are describing.

Classmate #1A Jessica:  (50 words minimum, when responding to classmates, please refer to them by name so that I can identify which response goes with what discussion question)

In the organization I work for we have two robots that weld frames and we might want to monitor if the two robots produce close to the same amount of parts.  This would tell us if there was a potential problem with one of the robots.  We would use the null hypothesis to determine if robot 1 ran more parts than robot 2 in a given time frame.  We would record how many each robot ran each day for a month or 20 days. A two-tail test would be used because the fact we want to know if there were differences between the two robots.  From the example below the sample mean was 27.200 for robot 1 and 27.150 for robot 2 and the computed test statistics was 0.13 which is higher than the lower critical value of -2.0244, this would tell us not to reject the null hypothesis.  We would conclude that there is not a significant difference in the two robots which would tell us there is not a problem with them.

Classmate Response#1B:(50 words minimum) Will present classmate response tomorrow once they upload their answer

************Assignment***************************

Use the Student_Data.xls file which consists of 200 MBA students at Whatsamattu U. The file includes variables regarding students’ age, gender, major, GPA, Bachelors GPA, course load, English speaking status, family, weekly hours spent studying. Each of the three assigned problems should be formatted as a one page memo. Answers to all three of the problems should be submitted via the Drop Box as a single Word document with each of the problems clearly labeled. Be sure to include your name on the document itself!

COMPLETE PROBLEM 1: The battle of the sexes lives on still today. Since admission standards do not address gender there should be an equally diverse group of men and women in school, but do they perform equally well? Using the sample of 200 students, conduct a hypothesis test for two independent samples to determine if the mean GPA differs for men and women. Use a .05 significance level. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart (a bar chart or column chart will probably work best) comparing the means of the two groups.

COMPLETE PROBLEM 2: You have heard that men are more likely than women to declare a major in an MBA program. Using the sample of 200 students (in the data file), conduct a hypothesis test of proportions to determine if the proportion of women with “no major” is greater than the proportion of men with “no major”. Use a .05 significance level. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart comparing the proportion of men without a major with the proportion of women without a major.

COMPLETE PROBLEM 3: You have probably heard that if you want something done, give it to a busy person. So is one’s employment status a factor in their academic performance? 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. Report on your findings (100+ words, 3 or more sentences). In your report, be sure to include the results of the hypothesis test and indicate whether you are using a two-tail, upper-tail, or lower-tail test. Also include a chart comparing the means of the three groups. For this problem, a bar chart or column chart will work well; the display of the confidence intervals of the groups will also work.

Course objectives:

*The adult learner will select and utilize the appropriate statistical test for making inferences about a

population based on a sample. These tests include confidence intervals  independent and paired t-tests, ANOVA, and chi-square tests.

*The learner will describe and discuss statistics and hypotheses that are relevant to his or her own

organization or to another organization in which (s)he is interested.

*The learner will demonstrate the ability to analyze data using Excel and report on the results in a

clear and coherent manner.

*The learner should relate these concepts and decision making tools to real world situations.

*This assignment in detail of what’s expected:

Choose a single variable in your own organization or another organization in which you are interested. Write a hypothesis that you might test to compare two or more samples of that single variable. Clearly state your null hypothesis in terms of how or whether you expect the value for the variable to vary between samples. Then describe the test you would use (are you using a directional or non-directional test? are you using a two sample test for a mean or proportion? are are you using ANOVA?). Finally describe the samples you would need to take (what are the sample sizes? how would they be selected?). To support your choice of test include a brief discussion of the type of variable you have (nominal, ordinal, etc.), the number of samples involved, and whether the samples are related or independent. Include the name of the variable you have chosen in the title of your post. In the replies to your classmates indicate how your organization might use hypothesis tests similar to the ones your classmates are describing.

*****We’ll be creating charts, graphs, and histograms for assignments throughout the course. In Units 1 and 2, many of them were created automatically. Starting in Unit 3, you’ll need to create them yourself. There are two easy ways to do this.

One way is to make the charts directly in Word. To get started, put the cursor in the Word document where you want the chart to appear. Then click the Insert tab and choose the type of chart you want. This will create a default chart in Word and allow you to input your own data. You’ll see the chart change as you input the data, so you’ll know when you’re doing it right.

Another way is to work directly in Excel. Just type the information you need into a new worksheet so that one column contains the data labels and the next column contains the values. Using Unit 3 Practice Problem 1 as an example, you would type in:

Null hypothesis 205,000
Sample mean 216,710

Then, select or highlight those four cells. Go to the Insert tab and then choose the type of chart you want. A column chart works well.

Either method will generate output very similar to Dr. Mirabella’s Frequency Distribution worksheet. You can add titles and labels after the chart is created. As always, feel free to give me a call so I can walk you through these, especially if you are unfamiliar with Excel.******

 Subject Mathematics Due By (Pacific Time) 09/17/2014 01:30 pm
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