What is the range of the distribution?

13. A manager is interested in improving productivity at a plant by changing the layout of the workstation. For each of 10 workers, she measures the time it takes to complete a task before the change and after the change. She calculates the following summary statistics for the sample difference: mean sample difference (between before and after) = 8.5 and sample standard deviation of the difference = 11.38. Assuming that the difference in time taken to complete the task is normally distributed, what is the critical value used to determine whether the mean difference (in task completion time) between before and after the change is not equal to zero at the 5% level of significance? Use our textbook statistical table to answer the question.   a. ±2.2281   b. ±2.1009   c. ±2.2622   d. ±1.96

Margin of safety Using the data from P11-2, determine the following for 20Y5. Margin of safety for 20Y5.

Via Gelato is a popular neighborhood gelato shop. The company has provided the following data concerning its operations:Fixed Variable ActualElement Element Total forper Month per Liter JuneRevenue .......................... $12.00 $71,540Raw materials ................. $4.65 $29,230Wages ............................. $5,600 $1.40 $13,860Utilities ............................ $1,630 $0.20 $3,270Rent ................................ $2,600 $2,600Insurance ........................ $1,350 $1,350Miscellaneous ................. $650 $0.35 $2,590While gelato is sold by the cone or cup, the shop measures its activity in terms of the total number of litersof gelato sold. For example, wages should be $5,600 plus $1.40 per liter of gelato sold and the actual wagesfor June were $13,860. Via Gelato expected to sell 6,000 liters in June, but actually sold 6,200 liters.Required:Prepare a report showing Via Gelato revenue and spending variances for June.

A saturated solution contains 1.80g KCIO3 in 25.0mL water at 20.0 degree celcius. Determine the solubility in units of grams solute/100g H2O and in units of molarity.

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The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. a. Test the null hypothesis that the average number of years of service is the same for males and females. Assume that the population variances are unequal. b. Test the null hypothesis that the average years of undergraduate study is the same for males and females. Assume that the population variances are unequal. Click the icon to view the survey data. a. Is there sufficient evidence at the 0.01 level of significance that the average number of years of service is the same for males and females? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let females be population 1 and males be population 2. Ho P-P2 H₁: P₁ - H = 0 (Type integers or decimals. Do not round.) Compute the test statistic. - 3.65 (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.)

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Using the weighted procedure method of setting rates, calculate the relative value and cost per procedure for the following lab procedures, given a total lab cost of $1.25 million and an average hourly lab tech rate of $15 (to calculate the RVU, divide the total sample expense by the com- mon denominator of .25): Procedure Amylase Bleeding time Uric acid Platelet count Hematocrit Projected Volume 4,000 5,000 3,000 7,800 7,600 Labor in Minutes 15 520900 12 10 8 Supply Expense ($) .75 .50 .50 .25 .25