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## STAT 200 Questions Complete Solution

by: kimwood Notetaker

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# STAT 200 Questions Complete Solution

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STAT 200 Questions Complete Solution
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This 0 page Study Guide was uploaded by kimwood Notetaker on Friday November 6, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 25 views.

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Date Created: 11/06/15
1 050 point I hypothesized that girls in my class have the same blood pressure levels as boys The probability value for my null hypothesis was 015 So I conclude that the blood pressures of the girls were higher than boys Which kind of mistake did I make a Type I error b Type II error c Type I and Type II error d I did not make any mistake Ans Type I error 2 050 point If a statistical test result is not significant at the 005 level then we can conclude a It is not signi cant at 010 level b It must be significant at 001 level c It must be significant above 005 level d It is not significant at 001 level Ans It is not significant at 010 level 3 2 points A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test She randomly sampled 100 girls and 100 boys in a community and gave them the standard memory test The mean score for girls was 70 and the standard deviation of mean was 50 The mean score for boys was 65 and the standard deviation of mean was 50 What is the standard error of the difference in means Solution n2100 01 5 02 5 Standard error of difference between means 0 1 50 707 100 100 100 2 4 050 point If power is big you can assume a The significance level set by the researcher must be high b We increase the probability of type I error c Your study result will be more likely to be inconclusive d The difference between the means is more likely to be detected Ans The difference between the means is more likely to be detected 5 050 point If the probability that you will correctly reject a false null hypothesis is 080 at 005 significance level Therefore on is and B is a 005 080 b 005 020 c 095 020 d 095 080 Ans a 005 080 6 2 points The population has a mean of 678 and the population standard deviation is known to be 583 Use a 005 level of significance to test the claim that the sample scores listed below came from the population Identify hypotheses test statistic Pvalue or critical value conclusion about the null and final conclusion that addresses the original claim 714 751 664 789 818 779 698 836 753 834 693 802 Solution 1 Ho u 678 H1 u at 678 x 005 2 005 3 Teststatistic is z x39u xZ E 76091 u 678 039 583 n 12 Z 76091 678 8291 58375 346 p value 855992588827307 x 10 7 493 4 Since pvalue is less than 005Hence we Will reject the null hypothesis That is the sample scores did not come from the population 7 2 points I am looking to move to either Mississippi or Arkansas depending on the cost of housing Below are the costs in thousands hypothetically of 12 houses in each location based upon a simple random selection Mississippi 155 142 149 130 151 163 151 142 156 133 138 161 Arkansas 133 140 142 131 134 129 128 140 140 140 137 143 Use a 005 significance level to test the claim that the mean cost of houses in Mississippi is greater than the mean cost in Arkansas Be sure to give the hypotheses the test statistic With a pvalue and a conclusion Solution 1 Ho 111 112 0 H1 111 gt 112 x 005 2 Teststatistic is Z1 2 1 2 Li quot1 quot27 Z14758 x2136416 011063 0392 521 n1 12 n2 12 Z 14758 136416 0 11164 327 1299 27144 341 12 12 3 For a two tailedalternative hypothesis pvalues is calculated by2 x PZ 2 z pValue is 00054 4 Since pValue is less than 005 Hence we Will reject the null hypothesis Hence the mean cost of houses in Mississippi is greater than the mean cost in Arkansas

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