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PLEASE HELP! Bob’s Bricks has determined that a brick measuring 5 inches long has a z-score of +1 and a brick measuring 5.75 inches lo
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PLEASE HELP!
Bob’s Bricks has determined that a brick measuring 5 inches long has a z-score of +1 and a brick measuring 5.75 inches long has a z-score of +2.
What is the mean length of the bricks produced at Bob’s Bricks?
A.4.00 inches
B. 4.25 inches
C. 4.75 inches
D. 5.25 inches
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Mathematics
3 years
2021-08-23T16:36:03+00:00
2021-08-23T16:36:03+00:00 1 Answers
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Answers ( )
First, let’s calculate the standard deviation of the bricks.
Standard deviation = 5.75 – 5 = 0.75
Now, we need to use the z-score formula to calculate the mean.
z-score = (observed value – mean) / standard deviation.
Let’s plug our values into the formula above.
1 = (5 – mean) / 0.75
Multiply both sides by 0.75
0.75 = 5 – mean
Subtract 5 from both sides.
-4.25 = -mean
Divide both sides by -1
4.25 inches = mean