A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers.  A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx).  At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers?  YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Time Spent on Computer  Employee ID Before New Software (hrs/wk) After New Software (hrs/wk) 91416 2.5 2 99305 5 5 82797 2.5 2.5 30838 6 6.5 13294 5 5 26278 9 8 74905 10 10 82358 7.5 8.5 79299 11 10.5 10243 6.5 5.5 21362 2 1 52331 8.5 8 86984 4 4 58264 4.5 5 56656 6.5 6 14778 4 4 70413 8.5 8 71094 6 7 83598 11 12 97170 3 3 20813 11 11 67218 8.5 8.5 24945 5.5 4.5 92186 3 3 84339 5 4 89381 6.5 6 41627 5.5 4.5 84214 10 9 98679 2 3 15551 11 12 35829 6 5 80666 7 7 94236 6.5 6 a) Properly state the mathematical hypotheses:  b) p-value:  c) Conclusion:

A real estate​ agency, located in a metropolitan area in the northeastern​ U.S., kept data on the various types of properties purchased in the area.​ Historically, 15% of purchases were for​ condominiums, 30% were for​ townhouses, 40% for single family​ homes, 10% for commercial properties and​ 5% for land. With changing​ demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the​ following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical​ distribution, we would expect how many homes to be​ purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100

On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09   State the hypotheses.H0: The observed frequencies     in agreement with proportion of people in each age group.Ha: The observed frequencies     in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 =  Calculate the p-value. Round to 3 decimal places.p-value =  State your decision.Since p-value     α,…

Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). B, C, and D