Doncouse_Jeremy_Week8

# Doncouse_Jeremy_Week8 - Jeremy Doncouse ID 92575 MATH116...

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Jeremy Doncouse ID: 92575 3 MATH116 4 2 What is meant by Type I error? Type I error means that you reject the null hypothesis when it is true. What is a Type II error? A Type II error means you accept the null 8 hypothesis even though it is false. They are both errors which occur based on poor judgement or poor choice of samples which negatively affect the outcome of the testing. 4 Explain the difference between a 1-tailed and 2-tailed test. A 1-tailed test means the alternative hypothesis is either greater than or less than the null hypothesis, but a 2-tailed test means the alternative hypothesis simply does not equall the null hypothesis. 6 What symbols are used to represent the null hypothesis and the alternative hypothesis? equals the null hypothesis, while equals the alternative. 8 What is meant by significant difference? A significant difference is the range of values that fall within the critical or rejection region. This is the range of values that indicate that the null hypothesis should be rejected. 10 List the steps in hypothesis tesing. 10 1 State the hypothesis and identify the claim. 2 Find the critical value(s) from the appropiate table in Appendix C. 3 Compute the test value. 4 Make the decision to reject or not reject the null hypothesis. 5 Summarize the results. 2 It has been reported that the average credit card debt for college seniors is \$3,262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a survey of 50 randomly selected seniors and finds the average debt senate correct? a b c Section 8.3 Section 8.1: (Page 410) 2,4,6,8,10,12,13 (any 5) Section 8.2: (Page 420) 2,4,6,8,12,15,16 Section 8.3: (Page 432) 3(a-h: any 4),4(a-h: any 4),8,10,12 Section 8.4: (Page 440) 2,4,6,8,12,15,16 (any 5) Section 8.5: (Page 451) 1(a-h: any 4), 2(a-h: any 4),4,6,12 Section 8.1: (Page 410) 2,4,6,8,10,12,13 (any 5) Section 8.2: (Page 420) 2,4,6,8,12,15,16 is \$2,995, and the population standard deviation is \$1,100. With ά = 0.05, is the student 0 H 1 H 262 , 3 \$ : 0 = μ H 262 , 3 \$ : 1 < H 72 . 1 56 . 155 267 50 100 , 1 \$ 262 , 3 \$ 995 , 2 \$ - = - = - = z 65 . 1 05 . 0 - = = α

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d Since the test value, -1.72, falls in the critical region, the decision is to reject the null hypothesis. e There is enough evidence to support the claim that the average debt is less than \$3,262. 12 -1.72 -1.65 0 4 Full-time Ph.D. students receive an average salary of \$12,837 according to the U.S. Department of Education. The dean of graduate studies at a large state university feels that Ph.D. students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is \$14,445, and the population standard deviation a b c d Since the test value, +7.11, is more than the critical value, +1.65, and is in the critical region, the decision is to reject the null hypothesis. e
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## This note was uploaded on 03/08/2011 for the course MATH 116 taught by Professor Unknown during the Fall '09 term at Mountain State.

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Doncouse_Jeremy_Week8 - Jeremy Doncouse ID 92575 MATH116...

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