Hydrogen gas is a very useful reagent with many uses in the petroleum, food, and chemical industries. Most hydrogen exists in covalently bonded molecules, and atmospheric air contains less than 1 ppm of diatomic hydrogen. Therefore, hydrogen gas is produced on a large scale for these uses, where steam reforming with methane and electrolysis of water are two of the primary methods. The more economic reaction of steam reforming is the reverse of the reaction depicted in Carbon Monoxide and Hydrogen - Sample 1 in the Simulation.

Hydrogen has also been considered as an alternative fuel for vehicles designed to combust hydrogen and oxygen, which produces water as a product. However, concerns were raised because methane is typically used on a large scale to produce hydrogen gas. Assume that a gallon of gasoline contains 2400 g of carbon. If a gasoline engine achieves 30 miles per gallon, each mile consumes 80 g of carbon (about 107 g of methane contains 80 g of carbon). Alternatively, a hydrogen engine can achieve 80 miles per kilogram of hydrogen gas.

What is the mass of methane (CH4) needed to produce enough hydrogen gas (H2) to drive one mile using the theoretical hydrogen engine?

Express the mass in grams to two significant digits.

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = β₀ + β₁x + ε

where

• y = traffic flow in vehicles per hour
• x = vehicle speed in miles per hour.

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

ŷ = b₀ + b₁x + b₂x²

(a)Develop an estimated regression equation for the data of the form  ŷ = b₀ + b₁x + b₂x².

(Round b₀ to the nearest integer and b₁ to two decimal places and b₂ to three decimal places.)

ŷ =

(b) Use α = 0.01 to test for a significant relationship.

Find the value of the test statistic. (Round your answer to two decimal places.)

Test statistic=?

Find the p-value. (Round your answer to three decimal places.)

p-value = ?

(c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

______?______vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.

y = B 0 + B 1 x + B₂x 2 + E

where

y = traffic flow in vehicles per hour

x = vehicle speed in miles per hour

The following data were collected during rush hour for six highways leading out of the city.

Enter negative values as negative, if necessary.

Show the estimated regression equation (to 3 decimals, if necessary).
y = ------ + ----------  x + ------------- x 2

What is the value of the coefficient of determination (to 3 decimals)? Note: report R 2 between 0 and 1.
  
What is the value of the F test statistic (to 2 decimals)?
  
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6  
Using  = .01, what is your conclusion?
SelectConclude a curvilinear relationship exists for traffic flow and speedCannot conclude a curvilinear relationship exists for traffic flow and speedItem 7  

Predict the traffic flow in vehicles per hour for a speed of 39 miles per hour (to the nearest whole number).

Three different brands of tires were compared for wear characteristics. For each brand of tire, ten tires were randomly selected and subjected to standard wear testing procedures. The average mileage obtained for each brand of tire and sample standard deviations (both in 1000 miles) are shown below.

(a) State the null and alternative hypotheses to see if the mean mileage for all three brands of tires is the same.

(b) Find the overall sample mean (x ), overall sample size ( T n ), and the number of treatments (k).

(c) Compute the sum of squares between treatments (SSTR) and the sum of squares due to error (SSE). Show your complete work.

(d) Carry out the analysis of variance procedure for a completely randomized design by completing the ANOVA table.

(e) Compute the p-value. At the 1% level of significance, can you reject the null hypothesis in part (a)? Explain. What conclusion can you draw in this context?

(f) Use Fisher's LSD procedure to determine which mean (if any) is different from the others. Use  = 0.05.

Linton Company purchased a delivery truck for $28,000 on January 1, 2017. The truck has an expected salvage value of $2,200, and is expected to be driven 110,000 miles over its estimated useful life of 10 years. Actual miles driven were 12,300 in 2017 and 10,000 in 2018. Collapse question part (a1) Correct answer. Your answer is correct. Calculate depreciation expense per mile under units-of-activity method. (Round answer to 2 decimal places, e.g. 0.52.) Depreciation expense $Entry field with correct answer 0.23 per mile SHOW LIST OF ACCOUNTS SHOW SOLUTION LINK TO TEXT Attempts: 1 of 15 used Collapse question part (a2) Compute depreciation expense for 2017 and 2018 using (1) the straight-line method, (2) the units-of-activity method, and (3) the double-declining-balance method. (Round depreciation cost per unit to 2 decimal places, e.g. 0.50 and depreciation rate to 0 decimal places, e.g. 15%. Round final answers to 0 decimal places, e.g. 2,125.) Depreciation Expense 2017 2018 (1) Straight-line method $ $ (2) Units-of-activity method $ $ (3) Double-declining-balance method $ $

1. A high school guidance counselor is interested in the association between proximity to school and participation in extracurricular activities. He collects the following data on distance from home to school (in miles) and number of clubs joined for a sample of 10 students.

                        Student                 Miles to school        Number of clubs               

                        Lanny                         4                          3

                        JoJo                           2                          1

                        Twilla                          7                          5

                        Rerun                         1                          2

                        Ginny                         4                          1

                        Stevie                         6                          1

                        George                       9                         9

                        Ruth                           7                          6

                        Carol                          7                          5

                        Dave                         10                         8

1. Calculate the Pearson's correlation coefficient for the association between distance to school and number of clubs joined by these students. As always, make sure to show all of your work.
2. Provide an interpretation for the correlation coefficient, making sure to specify what the direction implies. For this problem, first interpret the magnitude of the correlation, then specify what it would mean for club membership if someone lived further from school. (Hint: You should do this for every correlation interpretation.)
3. Is the correlation statistically significant? Explain your answer, using a hypothesis test. There are two methods: 1) Comparing obtained r to critical r; 2) comparing obtained t to critical t. You should write out the research and null hypotheses in Greek notation.

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greater risk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer hides his car on a side street that intersects the middle of the school zone and records the speed of each car that passes through. Assume that the population standard deviation is 3 miles per hour. Use the data in Minitab to determine if cars are speeding through the school zone.

(1 pt) State the null and alternative hypotheses.

(1 pt) Copy and paste any Minitab outputs used to aid in your decision onto your answer sheet.

(2 pts) Calculate the value of the test statistic by hand. Show the calculation to receive full credit.

(2 pts) Calculate the p-value by hand. Show the calculation on your answer sheet for full credit.

(2 pts) Calculate and report the effect size. Show the calculation on your answer sheet for full

credit.

(1 pt) Calculate a 95% confidence interval for the true population mean.

(3 pts) Write a conclusion in the context of the problem. Be sure to use the p-value, the effect size,

and the confidence interval to aid in your conclusion.

Part 1

On January 1, Year 1, Phillips Company made a basket purchase including land, a building and equipment for $800,000. The appraised values of the assets are $48,000 for the land, $760,000 for the building and $112,000 for equipment. Phillips uses the double-declining-balance method of depreciation for the equipment which is estimated to have a useful life of four years and a salvage value of $10,000. The depreciation expense for Year 1 for the equipment is: (Round your intermediate percentages to 2 decimal places: ie .054231 = 5.42%.)

Part 2

On January 1, Year 1, Friedman Company purchased a truck that cost $30,000. The truck had an expected useful life of 100,000 miles over 8 years and a $7,000 salvage value. During Year 2, Friedman drove the truck 36,000 miles. The company uses the units-of-production method. The amount of depreciation expense recognized in Year 2 is: (Do not round intermediate calculations.)

Part 3

Farmer Company purchased equipment on January 1, Year 1 for $51,000. The equipment is estimated to have a 5-year life and a salvage value of $4,000. The company uses the straight-line depreciation method.

At the beginning of Year 4, Farmer revised the expected life to eight years. The annual amount of depreciation expense for each of the remaining years would be:

Suppose an environmental agency would like to investigate the relationship between the engine size of​ sedans, x, and the miles per gallon​ (MPG), y, they get. The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. The regression line for the data is y hat=36.7920−4.1547x.

Use this information to complete the parts below.

Engine Size   MPG
2.4 27
2.1 31
2.3 26
3.4 22
3.5 24
2.2 28
2.2 24
2.1 29
3.9 20

a) Calculate the coefficient of determination. R²=? (Round to three decimal places as​ needed.)

b) Using α=0.05​, test the significance of the population coefficient of determination.

Determine the null and alternative hypotheses.

c) The​ F-test statistic is? ​(Round to two decimal places as​needed.)

d) the p-value is? ​(Round to three decimal places as​needed.)

e) Construct a​ 95% confidence interval for the average MPG of a 2.5​-cubic liter engine.

UCL= ? ​(Round to two decimal places as​ needed.)

LCL= ​? (Round to two decimal places as​ needed.)

f) Construct a​ 95% prediction interval for the MPG of a 2.5​-cubic liter engine.

UPL= ? ​(Round to two decimal places as​ needed.)

LPL= ? ​(Round to two decimal places as​ needed.)

Exercise 9-22 Algo It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 34 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 116 feet. Assume that the population standard deviation is 22 feet. (You may find it useful to reference the appropriate table: z table or t table)

a. State the null and the alternative hypotheses for the test. H0: μ = 120; HA: μ ≠ 120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120; HA: μ > 120

b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Find the p-value. p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10

c. Use α = 0.05 to determine if the average breaking distance differs from 120 feet.