User Account

All Pages

Student performance across discussion sections

Assignment Help Business Economics
Reference no: EM131963918

Student performance across discussion sections:  A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section.

Sec 1 Sec 2 Sec 3 Sec 4 Sec 5 Sec 6 Sec 7 Sec 8

ni 33 19 10 29 33 10 32 31

x¯i 92.94 91.11 91.8 92.45 89.3 88.3 90.12 93.45

si 4.21 5.58 3.43 5.92 9.32 7.27 6.93 4.57

The ANOVA output below can be used to test for differences between the average scores from the different discussion sections.

Df Sum Sq Mean Sq F value Pr(>F)

section 7 525.01 75 1.87 0.0767

residuals 189 7584.11 40.13

Conduct a hypothesis test to determine if these data provide convincing evidence that the average score varies across some (or all) groups. Check conditions and describe any assumptions you must make to proceed with the test.

(a) Write the hypotheses for evaluating if there is a difference between average scores across sections.

a. Ho: μ1 = μ2 = ... = μ8

Ha: At least one pair of means is the same

a. Ho: μ1 = μ2 = ... = μ8

b. Ha: μ1 ≠ μ2 ≠ ... ≠ μ8

c. Ho: μ1 = μ2 = ... = μ8

Ha: At least one of the means is different

(b) Assume that the conditions required for this inference are satisfied.

(c) What is the test statistic associated with this ANOVA test?

(please round to two decimal places)

(d) What is the p-value associated with this ANOVA test?

(please round to four decimal places)

(e) Interpret the conclusion of the test in the context of the study:

a. Since p ≥ 0.05, there is no difference in average scores across the different sections

b. Since p ≥ 0.05, we do not have enough evidence to claim a difference in average scores across the different sections

c. Since p is close to 0.05, we cannot make a decision

d. Since p ≥ 0.05, there is enough evidence to claim a difference in average scores across the different sections

Reference no: EM131963918

Questions Cloud

What are the firms major products or services : What are the firm's major products or services? What is firm's commitment towards economic objectives? What is firm's attitude/orientation towards employees?
Review and analyze anti-miscegenation statutes : Research, review, and analyze Anti-Miscegenation Statutes in the United States and chose two (2) relevant cases.
Should we make rudeness or disrespect a crime offense : Should we make rudeness or disrespect a crime or a civil offense? Where should we draw the line?
Define the steps of the critical process : Why is the map approach to culture better and more conclusive than the vertical approach? Define the steps of the critical process Campbell.
Student performance across discussion sections : A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance
What were the weaknesses and strengths of the research study : POL 104:Do you believe that research in this area was needed? Do you think that this type of research is important? Explain your rationale.
Defining types of causation : In this week's reading we learned about four types of causality: causally necessary, causally sufficient, causally necessary and sufficient.
Is the set of claims an argument : Your assessment should include answers to the following questions: Is the original claim (when translated) an if . . . then or and statement?
Describe some of steps that are involved in designing goods : Describe some of the steps that are involved in designing goods and services. Select two services or two products that are currently on the market.

Reviews

Write a Review

Business Economics Questions & Answers

  Gasoline taxes are effective means for raising tax revenue

Explain whether increases in gasoline taxes are effective means for raising tax revenue. Circa 1990 Colorado decided that long-haul truckers needed to pay for a larger proportion of the wear and tear on the state's highways and increased the tax on d..

  Paper creates a fundamental contradiction

Paper creates a fundamental contradiction. Your task was to recommend policies to protect the industry in the event of the next economic crisis. Your main recommendation was to open the industry and allow more competitors into the industry.

  Suppose a firm with a production function

Suppose a firm with a production function given by Q = 30K^0.5L^0.5 produces 3,000 units of output. The firm pays a wage of $40 per unit and pays a rental rate.

  When government or corporation sells bonds to raise money

When a government or corporation sells bonds to raise money, it can do so in one of two ways. It can target a certain amount to raise or it can target a certain amount to pay back at the end of the bond (this is simplified for the purpose of the prob..

  Illustrate what three of those assumptions likely are

One of basic economic laws is ‘law of one price.' It says that provided certain assumptions one would expect that if free trade is allowed, illustrate what three of those assumptions likely are.

  Terms of historical volatility of realized returns

Rank stocks, bonds and (Treasury) bills from least risky to most risky, in terms of historical volatility of realized returns. a. stocks, bonds, bills b. bonds, stocks, bills c. bills, stocks, bonds d. bills, bonds, stocks e. stocks, bills, bonds

  Capital markets and labor markets are intimately connected

College students often borrow money to attend school. Generally, the plan is to pay loans back through future earnings. In this way, capital markets and labor markets are intimately connected.

  Walmart labor practices

Is it wrong for Walmart to fight Unionization? Sam Walton always felt the company should function as one big happy family and that the unions.

  What is the subgame perfect equilibrium for the game

Consider the following (not so unrealistic) scenario for a conflict between Iraq and the United States in the Persian Gulf area. Iraq moves first and decides whether or not to invade Kuwait. what is the subgame perfect equilibrium for the game?

  Union wage demands

You are watching the evening news on television. The news anchor reports that union wage demands are much higher this year because the workers

  What might be wrong with their reasoning

Some business owners make a statement something to the effect, "We're too busy to bother with strategy. We have to take care of the present." What might be wrong with their reasoning?

  Assume the government purposely incurs budget deficit

Assume the government purposely incurs a budget deficit that is financed by borrowing. As a result, interest rates rise and the amount of consumption spending declines.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd