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Exam2Sol - 1 True of False Questions(30 points ® F a If...

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Unformatted text preview: 1. True of False Questions (30 points): ® F a) If the population mean is known, there is no reason to run a hypothesis test on he population mean. T ® b) The P—value is usually chosen before an experiment is conducted. Cf) F c) In conducting a hypothesis test, it is impossible to simultaneously make both a Type I error and a Type II error. T @ d) The probability of a Type 11 error does not depend on the probability of a Type I error. T G) e) While the normal distribution is symmetric, the t—Idistributions are slightly skewed. CT) F f) The greater the (if, the closer the t—distributions are to the normal distribution. ('13 F g) If there is sufﬁcient evidence to reject a null hypothesis at the 5% level, then there is sufﬁcient evidence4,to reject it at the 10% level. _ 'Pva-baua c 8.2, < i 070 T ® h) In a study of high school students, a positive correlation (r = 0.95) was found between hours spent per week doing homework and scores 0n standardized achievement tests. We can conclude that doing homework helps prepare students for these tests from the data. T ® i) The sample correlation coefﬁcient for the following 10 pairs of data (1, 2), (2, 4), (3, 8), (4, 16), (5, 32), (6, 64), (7', 128'), (8,256), (9, 512), (10, 1024) is approximately 1 because 3; = 23. C1") F j) When 7" z 0, there still can be strong relationship between the variables. 2. (15 points) A random sample of 26 offshore oil workers took part in a simulated escape exercise, and their times (see) to complete the escape are recorded. The sample mean is 370.69 sec and the sample standard deviation is 24.36 sec.- ‘ O (5621) Construct a 95% upper conﬁdence bound on the true average escape time. Interpret your bound. “=19 7—) woes—:2. 76‘, d-Szilg ﬁ:i.708 x=?>‘loa.eai, 5224-9)(3 5g ﬁrs-um; ,__, orLLS-Qaq Ex dbl. «g x + f";— \ISY'L 3‘1 (ft-tune) 1436 "-7- 0. . O - ' 7 526 70.69 + 53% 8J6 ,t?) . 37 8. 85 I \ﬁWPVQﬁ‘mHoW: @ i—g m mmsmjwﬁm Wm . mum M as. was aw“? QSCAppar-HMQ is. ie‘ss Hxavx 3‘15,%4_ SQL_ :5 Pvt-5 b) Construct a 95% lower conﬁdence bound on the true average escape time: Interpret your bound. L; “OT “take, QT") o—Eg vx VOL > 3E» fig—- §0T7§iwweejt 76\$ng “a \ Sh. , Wk, 1 370.6% - ES’A/‘Z 8-16 = IVQ/ZM 5472.53 3. (10 points) A study is to be conducted on the proportion of homeowners who own at least two TV sets. How large a sample is required if we wish to be 90% conﬁdent that the error in estimating this quantity is within 315%? ‘ ‘Pi Ci“)- Zak: [.6455 use. P: ‘ + 5‘3 l-(oq—SX Q V0 WOW Cicero-n. i e—g— (‘ mgr mas-we; (De/3 is [he i\ - E Ii 4. (10 points) An investigator wishes to estimate the difference between population mean SAT-M scores of incoming freshmen in the College of Engineering and in the College of Science at Purdue University. The population standard deviations are both roughly 100 points and equal sample sizes are - to be selected. What value of the common sample size n will be necessary to estimate the difference to within :I:10 points with 99% conﬁdence? ' Mm, divs : 9 32—40 F +23% shdﬁgﬁggﬂ 1t H ﬁ>/J‘O 1-(KS I .. h- 0.5 .21'26 — Li's/575 Vahm: Pﬁt>\.26> = O.H5 é--t=|."5 Lﬁh P_ .- 05 [’50 1:74,; a We” 9-5 i“ bawcwem‘ >'@¥O.05 2 @What is Alices 95% conﬁdence interval for the difference of the mean? (50:534t, 1L134J) 7’ l b) What is Bobs 95% conﬁdence interval for the difference of the mean? (LﬁZWO) te.a7%® a c) Which SAS result is correct? Why? Be b1 S . Thee-Lb W A0200- l taco/mpl‘es’ we"? received WW3, Q) Vbd) Using the correct SAS output, carry out a hypothesis test to determine whether the mean overall distance for brand lzand brand 2 are different? Use or = 0.01. r ‘1 , i) State the null and the alternative hypotheses \(jrs ‘ H01 «Aka-'41:. HOLE ii) Calculate the test statistics based on the correct SAS result on previous page oil-h e6” it XL "-317. [0-4 6 2'“ ""4 ' 1: 9:1. 65'+ 5:: .o + {0.0%} 256 ——: {AL [0 [O q) ﬁsiii) Calculate the p—value. Do you reject the null hypothesis? p-wvmua : 2x 0““ 2; 0,02 ‘7 O-ol do molt W Ho iv) State your conclusion in terms of the problem. \S' \I" , ‘CA '_ We, Glenda/Leis, Wool“ UL; WM owe/Wadi d,i\$‘l—uhC-e. bvmol 1L camel brand 1 owe. ‘l-’\’\.L same od- elf-islet 9"?)‘5 ...
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Exam2Sol - 1 True of False Questions(30 points ® F a If...

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