Discuss the reasons and situations in which researchers would want to use linear regression. How would a researcher know whether linear regression would be the appropriate statistical technique to use? What are some of the benefits of fitting the relationship between two variables to an equation for a straight line?

Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to increase. Discuss causation vs. relationships.

What are the differences between MANOVA and discriminant analysis? What situations best suit each multivariate technique?

a) If the probabilities that Joan, Beverly and Evelyn will be elected secretary of a ski club are 1/8, 2/5, and 1/3 respectively, find the probability that one of the three will be elected.

b) Chris and Janet are among twenty girls who enter a tennis tournament. What is the probability that either one of these two girls will win the tournament?

c) If the probabilities that Mary and Sue will receive awards in a contest are 3/5 and 1/3 respectively, what is the probability that one or the other will receive an award?

d) A bag contains six white balls, four green balls, and three brown balls. If three balls are drawn, one at a time, and the ball is replaced after each drawing, what is the probability that the balls drawn will be green, white and brown?

The length of time needed to complete a certain test is normally distributed with mean 77 minutes and standard deviation 11 minutes. Find the probability that it will take between 74 and 80 minutes to complete the test.

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is believed that the machine is underfilling the bags. A 42 bag sample had a mean of 425 grams. Assume the population variance is known to be 625. A level of significance of 0.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Using the information from the following scenario, conduct a one-way ANOVA and specify the LSD post hoc test.

Scenario

The superintendent is continuing to examine the data that has been reported for the district. Another question concerned the differences in performance on high stakes tests. To examine this issue, the superintendent obtained the average scale scores for schools that participated in the high stakes testing for the district and two comparison districts. The following scores were collected:

Questions

1. What is the mean scale score for each district?

Superintendent’s District=314.71

Comparison District 1=301.29

Comparison 2=297.86

2. What is the standard deviation of the scale scores for each district?
3. State an appropriate null hypothesis for this analysis.
4. What is the observed or computed value of F?
5. What are the reported degrees of freedom for the Between Groups variance?
6. What are the reported degrees of freedom for the Within Groups variance?
7. What is the reported level of significance?
8. Based on the results of the one-way ANOVA, would you accept or reject the null hypothesis?
9. Based on the results of the LSD post hoc test, identify which districts are significantly different.
10. Present the results as they might appear in an article. This must include a table and narrative statement that reports the results of the one-way ANOVA and LSD post hoc test.

Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable.

JC Manufacturing (JCM) has a policy for its raw materials to keep 1 week’s (or ¼ month’s) supply as safety stock for every item it carries. For one item, it uses an average of 200 units per month. The item has a value of $24, ordering costs are $175, and holding costs are $6/item/year. The item is ordered in batches of 200, the lead time is 0.5 months and the standard deviation of lead time demand is 25 units.

a) How many shortages are expected per year? (5 points)

b) If the cost of a stockout is $200, what is the expected cost of this policy (holding, ordering and shortage)? (10 points total; 1 for setup, 3 each for holding, ordering and shortage)

Using appropriate examples

(i) differentiate between structured and unstructured data

(ii) discuss the need for alternative techniques of data analysis between the two

A sample of 45 movie tickets had a mean price of $9.50 with a standard deviation of $1.50. Find the 95% confidence interval for the population mean of the price of movie tickets AND State what type of confidence interval you used (ZInterval, TInterval, 1-PropZInterval)

Discuss five sources of unstructured data, why analysis of these data are important and use examples to support your answers.

Discuss the assumptions that are inherent in production setup cost, ordering cost and carrying cost. How valid are they?

Answer the within-subjects ANOVA questions using the data below. Use α = 0.05.

a) Compute the preliminary statistics below.
SS_BG =  ; df_BG =  
SS_BS =  ; df_BS =  
SS_E =  ; df_E =  
SS_T =  ; df_T =  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one week differs on the GRE verbal score.No week is different on GRE verbal score.    

e) Conduct Tukey's Post Hoc Test for the following comparisons:
1 vs. 3: difference =  ; significant:  ---Select--- Yes No
1 vs. 2: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 2: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 4: test statistic =  ; significant:  ---Select--- Yes No

The weights of a certain brand of candies are normally distributed with a mean weight of0.8612g and a standard deviation of 0.0514g. A sample of these candies came from a package containing 452 candies, and the package label stated that the net weight is 385.9g.​ (If every package has452candies, the mean weight of the candies must exceed 385.9 Over 452 =0.8538g for the net contents to weigh at least 385.9

​g.)a. If 1 candy is randomly​ selected, find the probability that it weighs more than

0.8538

g.The probability is

​(Round to four decimal places as​ needed.)

b. If 452candies are randomly​ selected, find the probability that their mean weight is at least 0.8538g.The probability that a sample of

452candies will have a mean of 0.8538g or greater is

(Round to four decimal places as​ needed.)

c. Given these​ results, does it seem that the candy company is providing consumers with the amount claimed on the​ label?

▼

No,

Yes,

because the probability of getting a sample mean of

0.8538

g or greater when

452

candies are selected

▼

is not

is

exceptionall small