Question

A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color television is $90.00 with a standard deviation of $22.00. Monte's TV sales and service completed repairs on two sets this morning. The labor cost for the first was $75 and it was $100 for the second. Compute the z values for each and comment on your findings.

Answer 1

Answer on Question #63521 – Math – Statistics and Probability

Question

A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color television is $90.00 with a standard deviation of $22.00. Monte's TV sales and service completed repairs on two sets this morning. The labor cost for the first was $75 and it was $100 for the second. Compute the z values for each and comment on your findings.

Solution

$$Z = \frac {x - \mu}{\sigma}.$$

Z-scores are used to determine how far off a particular point in a distribution is from the mean.

So $Z_{1} = \frac{75 - 90}{22} \approx -0.68$ ,

$$Z _ {2} = \frac {1 0 0 - 9 0}{2 2} \approx 0. 4 5.$$

Z-scores are on opposite sides of the mean and the first one is much more far from the mean.

Answer: $Z_{1} = \frac{75 - 90}{22} \approx -0.68$ , $Z_{2} = \frac{100 - 90}{22} \approx 0.45$ .

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