Joan Horton is a building contractor whose company builds many homes every year In planning for each job, Joan needs some idea about the direct labor hours per square foot required to build a home She has collected sample information on the labor hours for 10 jobs during the past year Job 1 2 3 4 5 6 7 8 9 10 Hours sqft 245 291 353 118 152 402 351 242 595 173 Data from Excel Sample Mean 292 Sample Median 268 Sample Variance S 2 20000 Sample Standard Deviation S 141 Describe how to calculate the sample mean for this sample How can Joan use this information Describe how to calculate the sample median from this sample If Joan had to select the mean or the median as the estimate of direct labor hours, what factors should she consider about each statistic before making the decision Describe how to calculate the sample variance and sample standard deviation How can Joan use these values in planning future jobs One of Joan's competitors, J M Sawyer, has numbers claiming that his crews average 350 hours per square foot, with a standard deviation of 50 Sawyer further claims that his company is more consistent in direct labor hours applied to houses than Horton's company Who is right, and why

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Joan Horton is a building contractor whose company builds many homes every year. In planning for each job, Joan needs some idea about the direct

Joan Horton is a building contractor whose company builds many homes every year. In planning for each job, Joan needs some idea about the direct labor hours per square foot required to build a home. She has collected sample information on the labor hours for 10 jobs during the past year.

Job	1	2	3	4	5	6	7	8	9	10
Hours/sqft	245	291	353	118	152	402	351	242	595	173

Data from Excel
Sample Mean	292
Sample Median	268
Sample Variance S²	20000
Sample Standard Deviation S	141

Describe how to calculate the sample mean for this sample? How can Joan use this information?

Describe how to calculate the sample median from this sample. If Joan had to select the mean or the median as the estimate of direct labor hours, what factors should she consider about each statistic before making the decision?

Describe how to calculate the sample variance and sample standard deviation. How can Joan use these values in planning future jobs?

One of Joan's competitors, J.M. Sawyer, has numbers claiming that his crews average 350 hours per square foot, with a standard deviation of 50. Sawyer further claims that his company is more consistent in direct labor hours applied to houses than Horton's company. Who is right, and why?