In a comparison of the effectiveness of distance learning
with traditional classroom instruction, 12 students
took a business administration course online, while
14 students took it in a classroom. The final
scores were as follows.
Online 64 66 74 69 75 72 77 83 77
91 85 88
Classroom 80 77 74 64 71 80 68 85 83
59 55 75 81 81
Can you conclude that the mean score differs between
the two types of course

An experiment was conducted to compare the alcohol content of soy sauce on two different production lines. Production was monitored eight times a day in both production lines. Production line 1 has a sample standard deviation of 0.15 and Production line 2 has a sample standard deviation of 0.8. Assume both populations are normal.

State and conclude your hypothesis at the 0.05 level of significance if the both of production lines have the same variability?

By hand, find the data value that would correspond to the 20^th percentile when m = 142 and s = 7.

A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.

1. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) 2. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.100 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H₀: ρ ≤ 0; H₁: ρ > 0 Reject H₀ if t > 1.330 3. Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) 4.  Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)

1) A multiple regression model to predict nacho sales at a baseball game yields the following coefficients:

Intercept 1500

Home Team Score 80

Temp. (Degrees F) 100

Home Team Loss? -2000

Assuming that all variables in this model are significant, what would be the expected result of the home team scoring another run?

A- There would be no effect

B- Nacho sales would increase by 80

C- Nacho sales would decrease by 80

D- Not enough info

2) The regression models that we have attempt to describe

A- Future occurrences

B- Time series data

C- None of these

D- A linear relationship between two or more variables

3) A simple regression model is really a hypothesis tests against two models. What is the null hypothesis model?

A- The "Full Model"

B- Beta 1 (aka Intercept = 0)

C- None of these

D- The Intercept (aka Beta 1 = 0)

4) A regression model attempts to correlate a student's exam grade with the number of hours spent studying. The resulting output is:

y = 45 + 7x

If a student spent 5.5 studying hours for the exam, what is the students predicted score?

A- None of these

B- 6.5

C- 83.5

D- 52

5) True or False:

In a multiple regression model, we can only evaluate the marginal effect of a change in one variable at a time

Why is it true or false?

6) A multiple regression model returns the following overall results:

R-Square = 0.75

P-Value = 0.22

Is this a good model to use? Why or why not? What might be causing these factors?

In the 2002 Winter Olympic Games, a scandal rocked the Figure Skating community. A tight competition between Russian pair skaters Elena Berezhnaya and Anton Sikharulidze and Canada’s Jamie Salé and David Pelletier ended in a major judging controversy that resulted in the Russian skaters being awarded the Gold medal and Canadian skaters the Silver medal. It was later determined that the French judge had been pressured to vote for the Russian pair as part of a deal to obtain votes for the French ice dance couple in a later event. Responding to media and public pressure, Salé and Pelletier’s medal was upgraded to a Gold medal, which they shared with the Russian pair skaters. The data describes judges’ scores for the leading pair skaters who competed in the Figure Skating event, for both the short- and long-programs (there were nine judges). Using these data for the 2010 Winter Olympic Games. A complete answer includes setting the null and alternative hypotheses, conducting the test in Excel, drawing conclusion with regard to each hypotheses, and interpreting each result. Use 5% LoS

Among a sample of 360 biology program applications, 198 of them are female applicants. (a) Find a 90% confidence interval of the true population proportion of female who applied to the biology program. (b) At a 0.05 significance level, test that the population proportion of female applicants is greater than 0.5 (Use critical value approach).

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1700 voters in the town and found that 73% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 70%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

Step 1 of 7: State the null and alternative hypotheses.

Step 2 of 5 :  Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 5 : Specify if it is one tailed or two tailed

Step 4 of 5 :  Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 5 : Make the decision to reject or fail to reject the null hypothesis.

State the conclusion of the hypothesis test.

A jar contains 38 red marbles numbered 1 to 38 and 44 blue marbles numbered 1 to 44. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions.

(a) The marble is red. P(red)=

(b) The marble is odd-numbered. P(odd)=

(c) The marble is red or odd-numbered. P(red or odd) =

(d) The marble is blue or even-numbered. P(blue or even) =

To determine if their 3.00 centimeter industrial belts are properly adjusted, Hutcheson & Gregory Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample.

Table:

Step 1 of 7 : What is the Center Line of the control chart? Round your answer to three decimal places.

Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places.

8. (6) Researchers believe that human male infertility has increased significantly in recent years due to exposure to BPA and related chemicals. A recent study provided evidence for this by interviewing lab technicians at a sperm donor bank in Chicago, which purchases sperm mainly from college students from a small local college. They report that the number of donors with acceptable sperm counts (at least 15 million sperm per milliliter of semen) has declined by almost 60% since 1980. Relate the following questions to this information:

1. Define sample vs. population and explain what each would be in this study.
   • Sample is one selection from a population. Sample would be
2. Define Random Variation and explain how it could be a factor in making conclusions about sperm quality and quantity?
3. Define confounding factor, and list one potential Confounding factor in using this sample to represent the population.
4. Provide an argument for why this sample might not contain independent data points.
5. Define sampling error and discuss whether it might be occurring in this study.

To do this assignment, choose a statistical model from the list below and come up with a hypothetical study related to your research interests that could be conducted using the model. Assignment must include the following:

1. Brief background information on your topic, the research question and hypothesis.
2. State the population of interest and the sample. State the IV including levels and the DV. Be specific about what your variables are. Review “operational definitions”
3. Detail what the procedure would be for those participating in your study. Be specific about each step in the procedure.
4. Come up with a sample data set for your hypothetical study (how you think the data might look; minimum of 30 data points total). **You do not have to collect actual data** Demonstrate how the data would be analyzed using the formulas learned in class.
5. Interpret the results of the test. Relate your analysis to the question posed by your hypothetical study. NOTE: If the hypothetical data you come up with does not have significant differences, state potential reasons why there are no group differences and how a follow-up study could be conducted.

Choose from the following statistical models:

Independent t-test

Dependent t-test

One-way between-subjects ANOVA

One-way within-subjects ANOVA