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Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write Marcus a letter about why he didn't recieve a certificate.
Stacey Warren - Expert brainly.com
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Oh, and include a brief summary of your statistical analysis in your letter. :) Almost forgot.
his score is 13.7, the mean is 12.89, and the standard deviation is 1.95
convert his score to a z-score using the formula z-score = (given value - mean)/standard deviation
then, use your calculator to determine the percentage of data values that fall below mark's score (normalcdf(-99, marks score)). if this value is greater than 0.98, then that means that Mark is in the top 2%. Otherwise, Mark is not in the top 2%.
Yes :) I have a z-table for positive and negative values.
Marcus' z-score is 0.415, do you know how to use the z-table to find the area to the left of the z-score?
I think so. Is it .65910?
yup, that's about what I got, too!
do you know what .65910 means?
I mean, do you understand what that number represents?
It means that he falls in with the scores of %65.9 of his class?
not quite, it means that he scored better than 65.9% of the other students
in order for Marcus to be in the top 2% and get the certificate, he needs to score better than 98% of all the other students
so, do you think he got the certificate?