Written Assignment 7 - Gabriel A. Godart

# Written Assignment 7 - Gabriel A. Godart - Principles of...

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Principles of Statistics 2010-04-STA-201-009OL Written Assignment 7 Gabriel A. Godart Thomas Edison State College. Exercises Set 10.1 Exercise 10.10 a. The variable is the amount spent. b. Teens (µ1) and Adults (µ2) c. d. Left tailed. Exercise 10.16 a. The mean of is b. No. The determination of the mean is the same for all populations c. No. It is not known that the two populations are normally distributed, and the sample size 3 and 6 are too small to draw such a conclusion.

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Exercises Set 10.2 Exercise 10.24 Not reasonable: Only one sample is large enough and both population standard deviations are not equal. Exercise 10.30 a. Step1: Step2: α = 0.05 Step3: = - +( - ) + - Sp n1 1s12 n2 1 s22n1 n2 2 = . 21 4783 = 4.634 = - + t x1 x2Sp1n1 1n2 = -3/1.89182 = -1.586 Step4: df = 10+15-2 = 23 Critical value = - ∝ t = -1.714 Step5: Since -1.586 > -1.714, Do not reject H0 b. The 90% confidence interval is - ± ∝/ . + x1 x2 t 2 Sp1n1 1n2 - ± . .( . ) + 20 23 1 714 4 634 110 115 -6.243 to 0.243 Exercise 10.34 Population 1: male, n1 =30, x1 =37.1 and s1 =38.5 Population 2: female, n2 =30, x2 =55.8 and s2 =48.3 Step1: Step2: α = 0.01 Step3: = - +( - ) + - Sp n1 1s12 n2 1 s22n1 n2 2 = . 43 6757
= - + t x1 x2Sp1n1 1n2 = -1.6139 Step4: df = 10+15-2 = 58 Critical value = - ∝ t = -2.390 Step5: Since -1.6139 > -2.390, Do not reject H0 Step6: At the 1% significance level, the data do not provide sufficient evidence to conclude that on average, males have a better sense of direction than females. Exercise 10.40 The 98% confidence interval is: - ± ∝/ . + x1 x2 t 2 Sp1n1 1n2 . - . ± . .( . ) + 37 1 55 8 2 390 43 6757 130 130 -45.1521 to 8.752 Exercises Set 10.3 Exercise 10.64 Population 1: CCB, n1 =51, x1 =115.1 and s1 =79.4 Population 2: LLM, n2 =19, x2 =24.3 and s2 =10.5 Step1: Step2: α = 0.01 Step3: = = - + t x1 x2s12n1 s22n2 = 7.98159 Step4: = = + - + - df s12n1 s22n2²s12n1²n1 1 s22n2²n2 1 = 49.0948 = 49

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• Fall '09
• KOHN
• Statistics, Statistical hypothesis testing, Statistical significance

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