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frozen [14]
3 years ago
10

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

.
Nico got a score of 103.2; this version has a mean of 69.6 and a standard deviation of 14.
Emilio got a score of 311.9; this version has a mean of 259 and a standard deviation of 23.
Morgan got a score of 7.9; this version has a mean of 7.3 and a standard deviation of 0.5.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

Vincent and Reyna.

Step-by-step explanation:

To compare the performance of three potential employees, we have to convert each score into z score.  

Vincent got 83.5 for a N(68.2, 99)

Z score for Vincent =

Kaitlyn got 251.2 with N(238, 22)

Z score for Kaitlyn =

Reyna got a score of 8.04 for N(7.27, 0.7)

Z score for Reyna =

Z score higher is a better option since all z scores are positive

Hence here Reyna is a good option.

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A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

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3 years ago
Write 5/9 AS A DECIMAL to the nearest tenth
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3 years ago
Which expression is a difference of squares with a factor of 5x − 8?
Olegator [25]

Answer:

25x^2-64

Step-by-step explanation:

Remember that the formula for the difference of squares is a^2-b^2=(a+b)(a-b). The formula implies that if (5x - 8) is a factor, then (5x + 8) is the other factor. We can use our formula to find which one is our difference of squares:

(5x-8)(5x+8)=(5x)^2-8^2

(5x-8)(5x+8)=5^2x^2-64

(5x-8)(5x+8)=25x^2-64

We can conclude that the correct answer is 25x^2-64.

4 0
3 years ago
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