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Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have . So
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have .
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have .
Due to the higher Z-score, Demetria should be offered the job.
The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values
a) The equation of the least-squares regression line is
b) The correlation coefficient for the sample is approximately 0.351
c) The slope gives the increase in the attendance per increase in wins
Reasons:
a) From the computer regression output, we have;
The y-intercept and the slope are given in the <em>Coef</em> column
The y-intercept = 10835
The slope = 235
The equation of the least-squares regression line is therefore
b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229
Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351
The correlation coefficient for the sample, r ≈ <u>0.351</u>
c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins
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