For item s 1 to 4, s elect the best statistic al analysis technique for the following research topics.


For item s 1 to 4, s elect the best statistic al analysis technique for the following research topics. Be very precise about your statistical choice. For example, there are several types of t-tests, correlations, and ANOVA tests. Make sure you specify exactly which statistical analysis technique you would use, e.g. One-Way Anova. Note the following abbreviations: IV = independent variable and DV = dependent variable.

  1. You want to study regional differences (IV) in household savings (DV measured in dollars.) You randomly select samples of households in the North, East, South, and West.
  2. You want to compare differences in pounds of weight loss (DV) for 79 middle age adults before and after they have attended a rigorous exercise class.
  3. You wish to test the null hypothesis that age (defined as young = 20 to 30 years old, and middle age = 31 to 50) makes no difference in purchasing one of four makes of cars (DV = Honda, Toyota, Lexus, Chevy). Which statistical test would you conduct?

4. (Pick one) When Helen mistakenly rejected her null hypothesis, she committed a

  • type I error.
  • type II error
  • researcher bias
  • none of the above

For item s 5 to 7 : You want to compare the effectiveness of three methods of training (IV) in how to handle interviews with the press. You plan to administer a test (DV measured on an interval scale) to the participants in three different seminars with each seminar using a different training method.

5. State the research hypothesis you are testing.

6. Which sampling method would yield the best representative sample ? Write a paragraph with the rationale for the selecting the sampling design.

7. Which inferential statistical test would you use for the "method of training" case scenario (described above) and why?

For question s 8 and 9 : Your employer asks you to determine whether sales of cars (DV) can be predicted from the GDP (Gross Domestic Product).

8. What is the appropriate inferential statistical test for the case scenario?

9. Referring back to item 8, if the computed statistical result is significant, what would you know?

10. (Pick one) In testing a hypothesis using the chi square test, the theoretical or expected frequencies are based on the

  • null hypothesis
  • alternative or research hypothesis
  • normal distribution
  • none of the above

11. For questions 11 and 12 The director for training at a company that manufactures electronic equipment is interested in determining whether different training methods have an effect on the productivity of assembly line employees. One of his employees who is tasked with testing this assumption randomly assigns 42 recently hired employees into two groups of 21, of which the first receives a computer assisted, individual-based training program and the other receive a team-based training program. Upon completion of the training, the employees are evaluated on the time (in seconds) it took to assemble a part. The results are as follows:

Computer-Assisted, Individual-Based Program

Team-Based Program

19.4 20.7 21.8 22.4 18.7 19.3
14.1 16.1 16.8 15.6 18.0 21.7
14.7 16.5 16.2 30.7 23.7 12.3
16.4 18.5 16.7 16.0 13.8 18.0
19.3 16.8 17.7 20.8 17.1 28.2
19.8 19.3 16.0 20.8 24.7 17.4
17.7 17.4 16.8 20.1 15.2 23.2

The director is an avid proponent of computer-assisted training and asserts even before the research study that the computer-assisted training program will produce better outcomes than the team-based training program. (Show excel output and calculations needed to answer these questions.)

  • State the hypotheses for this study (both null and research).
  • What would the researcher conclude with these data? Assume a significance level of .05.

12. In the above problem, what is the probability of a type 1 error in this situation?

13. Below is the excel output from a regression analysis with one dependent variable (Y) and three independent variables (X1, X2, and X3). Assume we reject the null hypothesis that there is no relationship. Define the linear regression model using this excel output:

Coefficients
Intercept -6885.009
X1 77.224448
X2 -54.18075
X3 1.6460939

14. For questions 14, 15, and 16 The amount of time a bank teller spends with each

customer is normally distributed with a mean of 3.10 minutes and a standard

deviation of 0.40 minutes. ( Use the z table and excel to answer the

questions below )

If a random sample of 16 customers is selected from the bank, what is the probability that the average time spent per customer will be at least 3 minutes?

15. There is an 85 percent chance that the sample mean will be below how many minutes?

16. A doubting Thomas does not believe that the mean is actually 3.10 minutes since he has often waited longer. He decides to conduct a study and generates a random sample of 25 customers. He calculates the waiting time for all 25 customers and finds the average waiting time to be 4 minutes. Based on this information, what is the best estimate of the population mean assuming 95 percent accuracy. Is the doubting Thomas correct in his assumption?

17. You run a two tail t-test. The critical value for this test at the .05 level is a t of 7.82. What value must the obtained t-test statistic be in order to be considered significant at the .05 level?

18.

Source:

Sig. = Probability Value

Alpha Level = .05

F- critical = 2.76

The above ANOVA test displays the results of three different seminars (IV) each designed to improve self-concept (DV). From the data provided, were any of the seminars more effective than any of the others in improving self-concept? Select the best answer from the list that follows:

  1. Yes, all three seminars enhanced self-concept.
  2. No, there were no differences in the effectiveness of any of the seminars on improving self-concept.
  3. Yes, one of the seminars was significantly more effective than the other two.
  4. None of the above (i.e., a, b, c) is accurate.
Hours Worked and Amount of Sales (in dollars)
Regression Statistics
Multiple R 0.9709
R 2 0.9426
Adjusted R 2 0.9394 F test results
Standard Error 1,889 F value Signif . F
Observations 20 295.51 0.0000
Coefficients Std Error t Stat P-value
Intercept 62,695 1,325 47.31 0.0000
Hours Worked 3,786 220 17.19 0.0000

19.

Which of the following statements are true based on the statistical output featured above?

  1. Hours worked is a significant predictor of amount of sales.
  2. About 94% of amount of sales can be explained by hours worked.
  3. Intercept is not a significant predictor of hours worked.
  4. Both a and b are true.
  5. Neither a, b, or c are true.

20. You are the production manager of the Perfect Parachute Company. Parachutes are woven in your factory using a synthetic fiber purchased from one of four different suppliers. The most important outcome for parachutes is strength of the fabric. You must decide whether the synthetic fibers from your four suppliers result in parachutes of equal strength (one main effect). There are two types of looms in the factory: the Jetta and the Turk. Are the parachutes woven on the Jetta looms and those woven on the Turks looms equally strong (second main effect)? Also, are any differences in the strength of the parachute that can be attributed to the four suppliers dependent on the type of loom used (interaction effect)? You perform an experiment to answer these questions and must eventually decide which supplier and type of loom to use in order to manufacture the strongest parachutes. The data are attached:

Show the excel output needed and answer the following:

Are there main effects?

Is there an interaction effect?

What are the managerial implications of these findings?

Price: $31.6
Solution: The downloadable solution consists of 14 pages, 1760 words and 3 charts.
Deliverable: Word Document


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