Question You are computing a confidence interval for the difference in 2 population proportions. Which of the following could be negative? Select all. Group of answer choices p 1 p ^ 1 − p ^ 2 The standard error The critical value The lower bound of the confidence interval The upper bound of the confidence interval

A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is R output of the relationship between X and Y. a) Write the regression equation with parameters from the R output. b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine? c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter. d) What is the value of the correlation coefficient? e) Calculate a 95% confidence interval for the slope of the model. f) Based on the confidence interval, is there a linear relationship between X and Y? Adata related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y. Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198

As sales manager, Joe Batista was given the following static budget report for selling expenses in the Clothing Department of Soria Company for the month of October. SORIA COMPANY Clothing Department Budget Report For the Month Ended October 31, 2022 Difference Favorable Unfavorable Neither Favorable nor Unfavorable Budget Actual Sales in units 8,000 10,000 2,000 Favorable Variable expenses Sales commissions $2,400 $2,600 $200 Unfavorable Advertising expense 720 850 130 Unfavorable Travel expense 3,600 4,100 500 Unfavorable Free samples given out 1,600 1,400 200 Favorable Total variable 8,320 8,950 630 Unfavorable Fixed expenses Rent 1,500 1,500 -0- Neither Favorable nor Unfavorable Sales salaries 1,200 1,200 -0- Neither Favorable nor Unfavorable Sales salaries 1,200 1,200 -0- Neither Favorable nor Unfavorable Office salaries 800 800 -0- Neither Favorable nor Unfavorable Depreciation-autos (sales staff) 500 500 -O- Neither Favorable nor Unfavorable Total fixed 4,000 4,000 -O- Neither Favorable nor Unfavorable Total expenses $12,320 $12,950 $630 Unfavorable As a result of this budget report, Joe was called into the president's office and congratulated on his fine sales performance. He was reprimanded, however, for allowing his costs to get out of control. Joe knew something was wrong with the performance report that he had been given. However, he was not sure what to do, and comes to you for advice. (a) Prepare a budget report based on flexible budget data to help Joe. (List variable expenses before fixed expenses.) SORIA COMPANY Selling Expense Flexible Budget Report Clothing Department C ! UI Neitt nor Budget Actual

roblem 6 A reinforced concrete footing supports a \( 450 \mathrm{~mm} \) square column. GIVEN : Thickness of the footing \( =645 \mathrm{~mm} \) Effective depth of the flexural reinforcement \( =545 \mathrm{~mm} \) Column axial loads: \( \mathrm{DL}=800 \mathrm{KN} \) \( \mathrm{LL}=800 \mathrm{KN} \) \( \mathrm{U}=1.2 \mathrm{DL}+1.6 \mathrm{LL} \) roblem 6 A reinforced concrete footing supports a \( 450 \mathrm{~mm} \) square column. GIVEN : Thickness of the footing \( =645 \mathrm{~mm} \) Effective depth of the flexural reinforcement \( =545 \mathrm{~mm} \) Column axial loads: \( \mathrm{DL}=800 \mathrm{KN} \) \( \mathrm{LL}=800 \mathrm{KN} \) \( \mathrm{U}=1.2 \mathrm{DL}+1.6 \mathrm{LL} \) Materials : Concrete, \( \mathrm{f}_{\mathrm{c}}{ }^{\prime}=24 \mathrm{MPa} \) Steel, \( \mathrm{f}_{\mathrm{y}}=280 \mathrm{MPa} \) Allowable effective soil bearing capacity \( =219.38 \mathrm{kPa} \) Strength reduction factors: \( \quad 0.75 \) for shear \( 0.90 \) for bending 1. Determine the length required for the footing \( (\mathrm{m}) \) if site conditions limits the width of the footing to \( 2.0 \mathrm{~m} \). A. \( 3.65 \) B. \( 2.45 \) C. \( 4.25 \) D. \( 5.20 \) 2. Determine the no. of pcs \( 28 \mathrm{~mm} \phi \) flexural reinforcements along the long dimension of the footing. A. 8 B. 10 C. 12 D. 14 3. Determine the no. of pcs \( 28 \mathrm{~mm} \phi \) reinforcements along the short dimension of the footing over a bandwidth (centered on centerline of the column), the bandwidth having a width equal to the length of the short side of the footing. A. 6 B. 9 C. 11 D. 13 4. Determine the no. of pcs \( 28 \mathrm{~mm} \phi \) reinforcements (per side) along the short dimension of the footing outside the center bandwidth of the footing. A. 2 B. 3 C. 4 D. 5

Consider the following diagram: Internet Modem Wireless AP Switch Wireless AP DO Wireless AP Server 2.1 Using a table, compare 4 types of area networks. Consider the size of the network and the transmission media that is most likely to be found in each type of network. (8) 2.2 Based on the information given in 2.1, which type if network is shown in the Consider the following diagram: Internet Modem Wireless AP Switch Wireless AP DO Wireless AP Server 2.1 Using a table, compare 4 types of area networks. Consider the size of the network and the transmission media that is most likely to be found in each type of network. (8) 2.2 Based on the information given in 2.1, which type if network is shown in the diagram? Motivate your (2) answer. 2.3 This network has wireless access points. Compare three modulation techniques, using sketches, that could be used by these access points to transmit data. Use the bit-stream 10000101111. (6)

Biostatistics ESSAY A firm investigates the length of telephone conversations of their office staff. Ten consecutive conversations had lengths, in minutes: 10.7, 9.5, 11.1, 7.8, 11.9, 4.1, 10.0, 9.2, 6.5, 9.2. Derive a 95% confidence interval for the mean conversation length. Test whether the mean length of a conversation is eight minutes.(25 MARKS)

P3.5 The sales revenue, food cost of sales, and guests served for a small fast- food carryout division of a restaurant for the past six months are given below. Sales Month Cost of Revenue Guests Served Sales, Food 1 2. 4 $258,200 274,800 285,600 289,400 298,300 304,600 $ 96,200 104,300 110,500 113,100 118,900 123,700 10,200 10,400 10,300 10,100 10,400 10,500 6 For each of the six months calculate average check and average costs of sales food. Using these averages, calculate an index number. Set the in- dex for month 1 at 100 and complete index numbers for the remaining five months. With the index numbers identified, convert sales revenue and cost of sales food from historic to current dollars.