Maths Final Exam Assignment Questions

| September 29, 2018

________________________________ Date __________

____ A college administrator is concerned over stories that the overall
average grade for all college students in the U.S. is not 75%. Assuming the administrator took a random
sample and wanted to perform a test, which of the following statements is true.
a. The null
hypothesis should state that H0: u
= 75, while the alternate hypothesis should be Ha: u ¹ 75
b. It is a two
tailed test where the null hypothesis states H0: u = 75 and the
alternate hypothesis states that Ha: u <75 c. It is a two tailed test where the null hypothesis states H0: u = 75 and the alternate hypothesis states that Ha: u >75
d. The null
and alternate hypothesis cannot be determined.

____ The average cost of tuition, room and
board at small private liberal arts colleges is reported to be $8,500 per term,
but a financial administrator believes that the average cost is higher. A study conducted using 150 small liberal
arts colleges showed that the average cost per term is $8,745 with a standard
deviation of $1,200. Leta = 0.05.What is the null and alternative
hypotheses for this study?
a. Null:
m= $8,745; alternative:m > $8,745
b. Null:
m= $8,745; alternative:m < $8,745 c. Null: m= $8,500; alternative:m > $8,500
d. Null:
m= $8,500; alternative:m < $8,500 3. ____ In the regression equation, what does the letter "b" represent? A) Y intercept B) Slope of the line C) Any value of the independent variable that is selected D) Value of Y when X=0 4. ____ Which is not a step in hypothesis testing? a. compute the test statistics b. determine the decision rule c. write the null hypothesis d. compute the population mean 5. ____ The ANOVA test is used when: a. N<120 b. population standard deviation is known c. there are more than two groups of data d. the correlation coefficient is greater than .8 6. ____ The degrees of freedom in the single sample t test for is calculated by: a. N-1 b. square root of the mean c. N d. s2 7. ____ Your decision was to reject the null hypothesis and the correct decision was to reject the null hypothesis. Which describes your decision? a. Type I error b. p = beta (b) c. Type II error d. p = 1 - beta (b) 8. ____ In ANOVA, the null hypothesis is: A) Ho:s21 =s22=s23 B) Ho:s21¹s22¹s23 C) Ho:m1 =m2=m3 D) Ho:m1¹ m2¹m2 9. ____ What is the chart called when the paired data (the dependent and independent variables) are plotted? A) Scatter diagram B) Bar chart C) Pie chart D) Histogram 10. ____ What condition would need to be present to prevent you from conducting a t test for the difference of paired scores? a. unequal n’s in the variables b. having the same person before and after c. the means of the two groups be different from each other d. degrees of freedom greater than 120 11. Aircraft tires were examined to see their temperature after landing and breaking. New were developed to decrease the amount of heat retained. The same aircraft were used with the left wheel having the old tire and the right wheel with the new tire; with both tires flown at the same time. Test to see if there is a difference in tire temperatures. (show all steps of hypothesis testing) Old tire New Tire 190 198 140 130 210 185 105 106 175 170 200 180 161 140 Use the below information for the next question. The table below shows the gender and the percentage of each gender that spent different amounts at local toy store. 0- to $20 $20 to $50 Greater than $50 Male shopper 18% 49% 33% Female shopper 20% 62% 18% 12. Test at the .05 if there is significant difference between the proportions of shoppers. (show all steps of hypothesis testing) Use the following information to answer the next 2 questions. One of several aircraft manufactures of fuel parts claims that their part will withstand heat temperatures below the mean temperature of all other manufactures combined. The means temperature of all manufactures is -30 degrees. 13. What test would be used? 14. What is the null and alternative hypothesis? 15. What happens to type I error if multiple t tests are done rather than ANOVA? 16. Complete the below table Source of Variation SS df MS F Between Groups 19138.61538 2 Within Groups 731916.4615 36 Total 17. A manufacturer is testing the days it takes for a new synthetic rubber seal to breakdown at different temperatures. They believe that it takes less number of days at a temp of 250 degrees to fail. Test this hypothesis using all the steps of hypothesis testing using a level of significance of .05. (show all steps of hypothesis testing) Temp150 Temp200 Temp250 4 2 1 7 8 3 10 11 5 13 12 6 18 17 9 21 19 4 22 20 5 24 23 6 18. Suppose the least squares regression equation is Y' = 1202 + 1,133X. When X = 3, what does Y' equal? For next 4 questions, use this information: A very weird professor wants to see the effect of studying has on test scores. He surveyed a group of students on their study time and compared it to the test scores. The information is below. Hours studying Test score 3 8 1 2 4 4 2 6 2 2 3 4 3 7 4 6 1 4 4 8 4 7 19. For the data, would you reject or retain the null hypothesis with alpha =.05? 20. What is the value of the slope? 21. Write out the entire regression equation 22. Predict the test score would someone expect to receive if they studied for 5 hours.

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