question archive You receive a score of 88 on a statistics examinatin that has a mean of 76 and a sample standard deviation equal to 8
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You receive a score of 88 on a statistics examinatin that has a mean of 76 and a sample standard deviation equal to 8. Your standard score on the test is equal to____________.
+0.0 standard deviations
+1.5 standard deviations
+1.0 standard deviation
-1.5 standard deviations
Question: You receive a score of 88 on a statistics examination that has a mean of ?6 and a sample standard deviation equal to 8. Thus, the given values are: x=88; p=?E-; 0:3 Your standard score on the test is equal to? Solution: if we wanted to reiate the score to the mean score, we use the concept of a a-score. A z—score denotes the number of standard deviations in which the value x is above [to the right] or below [to the left] of the mean. If?iegndrgsult is positive, this denotes that the value of x is larger than the mean, while if the end result is negative, this denoted that the value of x is smaller than the mean. To determine this s-score, it is expressed by the formula Substituting our values. _as—?s _ 8 Thus, your score of 88 is +1.59 standard deviations above or to the right of the mean score 7H5. = +1.53 2