Related questions with answers

An air-cooled low-pressure steam condenser is shown in the following figure. The tube bank is four rows deep in the direction of air flow, and there are a total of 80 tubes. The tubes have a 2.2cm2.2-\mathrm{cm} ID and a 2.5cm2.5-\mathrm{cm} OD and are 9 m9 \mathrm{~m} long with circular fins on the outside. The tube-plus-fin area is 16 times the bare tube area, i.e., the fin area is 15 times the bare tube area (neglect the tube surface covered by fins). The fin efficiency is 0.750.75. Air flows past the outside of the tubes. On a particular day the air enters at 22.8C22.8^{\circ} \mathrm{C} and leaves at 45.6C45.6^{\circ} \mathrm{C}. The air flow rate is 3.4×105 kg/h3.4 \times 10^5 \mathrm{~kg} / \mathrm{h}. The steam temperature is 55C55^{\circ} \mathrm{C} and has a condensing coefficient of 104 W/m2 K10^4 \mathrm{~W} / \mathrm{m}^2 \mathrm{~K}. The steam-side fouling coefficient is 104 W/m2 K10^4 \mathrm{~W} / \mathrm{m}^2 \mathrm{~K}. The tube wall conductance per unit area is 105 W/m2 K10^5 \mathrm{~W} / \mathrm{m}^2 \mathrm{~K}. The air-side fouling resistance is negligible. The air-side film heat transfer coefficient is 285 W/m2285 \mathrm{~W} / \mathrm{m}^2 K\mathrm{K} (note that this value has been corrected for the number of transverse tube rows). (a) What is the log mean temperature difference between the two streams? (b) What is the rate of heat transfer? (c) What is the rate of steam condensation? (d) Estimate the rate of steam condensation if there were no fins.

EXPENDITURES FOR THE MONTH OF JULY\begin{array}{c} \text{EXPENDITURES FOR THE MONTH OF JULY} \end{array}

ActualAmountAmountExpensesBudgetedSpentFood$160.00$175.70Household     Electric bill45.0044.35     Telephone bill35.0041.20     Heating fuel50.0015.00     Water bill24.5031.70     Cable TV bill25.0025.00Transportation     Gasoline purchases85.00101.70     Parking/tolls15.0015.00Personal     Clothing 40.0031.75     Credit payments50.0041.74     Newspapers. gifts20.0011.65     Pocket Money60.0072.00Entertainment     Movies10.005.00     Sporting events/recreation32.0032.00     Dining out100.0063.80Fixed     Rent625.00625.00     Furniture125.00125.00     Savings100.00100.00     Emergency fund50.0050.00     Life/car insurance premiums132.50132.50     Car registration4.330     Pledges/contributions8.330\begin{array}{l c r r} & & &\text{Actual}\\ & &\text{Amount}& \text{Amount}\\ \text{Expenses} & & \text{Budgeted} & \text{Spent}\\[10pt] \text{Food} & & \$160.00 & \$175.70\\ \text{Household} & & & \\ ~~~~~\text{Electric bill} & & 45.00 & 44.35\\ ~~~~~\text{Telephone bill} & & 35.00 & 41.20\\ ~~~~~\text{Heating fuel} & & 50.00 & 15.00\\ ~~~~~\text{Water bill} & & 24.50 & 31.70\\ ~~~~~\text{Cable TV bill} & & 25.00 & 25.00\\[10pt] \text{Transportation}\\ ~~~~~\text{Gasoline purchases} & & 85.00 & 101.70\\ ~~~~~\text{Parking/tolls} & & 15.00 & 15.00\\[10pt] \text{Personal}\\ ~~~~~\text{Clothing } & & 40.00 & 31.75\\ ~~~~~\text{Credit payments} & & 50.00 & 41.74\\ ~~~~~\text{Newspapers. gifts} & & 20.00 & 11.65\\ ~~~~~\text{Pocket Money} & & 60.00 & 72.00\\[10pt] \text{Entertainment} \\ ~~~~~\text{Movies} & & 10.00 & 5.00\\ ~~~~~\text{Sporting events/recreation} & & 32.00 & 32.00\\ ~~~~~\text{Dining out} & & 100.00 & 63.80\\[10pt] \text{Fixed} \\ ~~~~~\text{Rent} & & 625.00 & 625.00\\ ~~~~~\text{Furniture} & & 125.00 & 125.00\\ ~~~~~\text{Savings} & & 100.00 & 100.00\\ ~~~~~\text{Emergency fund} & & 50.00 & 50.00\\ ~~~~~\text{Life/car insurance premiums} & & 132.50 & 132.50\\ ~~~~~\text{Car registration} & &4.33 & 0\\ ~~~~~\text{Pledges/contributions} & &8.33 & 0\\ \end{array}

Use the Kujawas’ expense summary to answer the question.

Did they spend more or less than the amount budgeted for household expenses for the month? By how much?

Question

Jimmy Kimmel Live! on ABC, The Tonight Show Starring Jimmy Fallon on NBC, and The Late Show with Stephen Colbert on CBS are three popular late-night talk shows. The following table shows the number of viewers in millions for a 10 -week period during the spring for each of these shows (TV by the Numbers website).

 The Tonight Show  Week  Jimmy Kimmel  Live (ABC)  Starring Jimmy  Fallon (NBC)  The Late Show with  Stephen Colbert (CBS)  June 13-June 17 2.673.242.27 June 6-June 10 2.583.322.05 May 30-June 3 2.642.662.08 May 23-May 27 2.473.302.07 May 16-May 20 1.973.102.31 May 9-May 16 2.213.312.45 May 2-May 6 2.123.202.57 April 25-April 29 2.243.152.45 April 18-April 22 2.102.772.56 April 11-April 15 2.213.242.16\begin{aligned} &\text { The Tonight Show }\\ &\begin{array}{lccc} \text { Week } & \begin{array}{c} \text { Jimmy Kimmel } \\ \text { Live (ABC) } \end{array} & \begin{array}{c} \text { Starring Jimmy } \\ \text { Fallon (NBC) } \end{array} & \begin{array}{c} \text { The Late Show with } \\ \text { Stephen Colbert (CBS) } \end{array} \\ \text { June 13-June 17 } & 2.67 & 3.24 & 2.27 \\ \text { June 6-June 10 } & 2.58 & 3.32 & 2.05 \\ \text { May 30-June 3 } & 2.64 & 2.66 & 2.08 \\ \text { May 23-May 27 } & 2.47 & 3.30 & 2.07 \\ \text { May 16-May 20 } & 1.97 & 3.10 & 2.31 \\ \text { May 9-May 16 } & 2.21 & 3.31 & 2.45 \\ \text { May 2-May 6 } & 2.12 & 3.20 & 2.57 \\ \text { April 25-April 29 } & 2.24 & 3.15 & 2.45 \\ \text { April 18-April 22 } & 2.10 & 2.77 & 2.56 \\ \text { April 11-April 15 } & 2.21 & 3.24 & 2.16 \end{array} \end{aligned}

At the .05 level of significance, test for a difference in the mean number of viewers per week for the three late-night talk shows.

Solution

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In this item, we are to conduct a test to determine whether there is a difference in the mean number of viewers per week for the three shows.

To do so, we check for any significant difference in the mean number of viewers using Analysis of Variance (ANOVA), where we are told to use α=0.05\alpha=0.05 as our level of significance.

We are then given data for the mean weekly viewers for 10 weeks across the three shows. We will then consider the given data as a Randomized Block Design and try to remove the block effects.

Why do we consider the data as a Randomized Block Design and what variable do we consider as the blocks?

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