vizedhtmlcontent.next.ecollege.com Lab Activities The z-score that c to a test s
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vizedhtmlcontent.next.ecollege.com Lab Activities The z-score that c to a test score x 7. Search Textbook Solutions | Chegg.com Lab 3.4-3.5 Understanding Z-scores and Matching Boxplots and Histograms In this lab, you will determ ne the measures of positio 3.4 Measures of Position using z-Score (standard score) The z-score represents the distance that a data value is from the mean in terms of the number of standard deviations. Population 2-Score Sample 2-Score Consider a test on which the mean is x·68 and the standard deviation is s-8 A test score x = 76 is 8 ponts above the mean. 76-68-8) Since one standard deviation is 8, this grade s 1 tandard deiation above the mean x-x 76-68 8 z=-=--=-= The z-score that corresponds to a test score x 76 is 1, and this means the test score x 76 is 1 standard deviation above the mean. a) Now, consider a test score x 48. Find the z-score and explain what it means. b) Find z-scores for the folowing test grades using the mean x 68 and the standard deviation s8.Also, label the test grades and their corresponding 2 scores on the number ine, 48, 52, 56, 60, 68, 76, 84, 92 3 2 68 76 Follow up question: The average 20-to 29-year-old man is 69.6 inches tall, with a standard deviation of 3.0 inches, while the average 20-to 29-year-old woman is 64.1 inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 67-inch man or a 62-inch woman? 20-to 29 vear-old Vnch man of a 62-inch woman?Explanation / Answer
SolutionA:
mean=68
sd=s=8
test score of 48
z=score-mean/sd
=48-68/8
=-20/8
=-5/2
=-2.5
Means Score of 48 is 2.5 standard deviations below mean.
Solutionb:
answer is
Follw up question asnwer:
Z score for man is 67-69.6/3=-2.6/3=-0.87
Z score for woman is 62-64.1/3.8=-2.1/3.8=-0.5526
Z score for woman is high
62 inch Woman is relatively taller than 67 inch man.
test grades mean sd testgrade-mean Zcore=testscore-mean/sd 48 68 8 -20 -2.5 52 68 8 -16 -2 56 68 8 -12 -1.5 60 68 8 -8 -1 68 68 8 0 0 76 68 8 8 1 84 68 8 16 2 92 68 8 24 3Related Questions
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