Given a population of scores (items correct) on recent midterm exam in a Politic

Question

Given a population of scores (items correct) on recent midterm exam in a Political Science course, you know that the data form a normal distribution with a mean of = 85 and a standard deviation of = 14, if someone's score had been converted to a z score, and that z score is -5, how many items did that person get correct on the psychology test? [Round to the nearest hundredths place if a decimal. If your calculated value is not identical to below, but within plus or minus 0.99 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value.] 71 74 78 the correct value is not listed in alternatives "a" through "d', even when taking into consideration a rounding error of plus or minus 0.99

Explanation / Answer

Here the population mean = =85 and

population sd = = 14 is given

Now we know that

Z= (x-)/

where z= -0.5 is given , =14 & =85 is given so solving for x we get

-0.5= ( x-85)/14

So., x = 85-7 = 78

So., the ans is 78

So that persond did 78 correct items when he/she gets z value of -0.5

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!

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