MAT_122__SP_16.pdf - Syracuse University Probability and...

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Syracuse University Probability and Statistics for the Liberal Arts II MAT122, Spring 2016 Instructor: Dr. A. Bourhim Name: SUID: _______________ _ Section: ------------------- Final Exam ********************************************** ** ********** * ************************ Write your full name. Write clearly, and give sufficient details to justify your answers. The use of mobile phones or pagers is not allowed. You are responsible to check that there are 6 problems (with parts) and 11 pages to this exam including this cover page. *********************************************************************************** Question 1: /15 Question 2: /18 Question 3: /20 Question 4: /20 Question 5: /15 Question 6: /12 TOTAL: /100
1. A simple random sample of 35 working mothers is obtained, and the average daily time they spend talking with their children is 45.9 minutes with a sample standard deviation of minutes. With a 0.01 significance level, we wish to test the claim that the daily mean time all working mothers spend talking with their children is more than 42 minutes. (a) Express the claim and its opposite in symbolic forms. (b) Identify the null hypothesis Ho and alternative hypothesis ( c) Verify the necessary requirements, and if met, compute the value of the appropriate test statistic. 11.2 H1.
(d) Make a decision about Ho, and state tho right conclusion about tho claim.
2. Consider the following simple random sample of 10 paired values X 10 12 9 7 11 y 13 17 11 7 14 13 8 19 9 The results of some preliminary statistical calculations appear LX = 109 LY= 143 LXY = 1676. I:x 2 = 1249 LY 2 = 2277 x = 10.9 y = 14.3 (a) Fiud the corrclatiou coefficient r for the given Sx = 2.60 Sy= 5.08 (b) Use a 0.01 significance level to test the claim that there is a linear correlation between the two variables x and (x, y): 10 14 11 19 15 23 below. data. y.

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