Questions
A survey of 44 people was conducted to compare their self-reported height to their actual height....

A survey of 44 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.

You're testing the claim that the mean difference is greater than 0.7.

From the sample, the mean difference was 0.85, with a standard deviation of 0.4.

In: Statistics and Probability

A city has built a bridge over a river and it decides to charge a toll...

A city has built a bridge over a river and it decides to charge a toll to everyone who crosses. For one year, the city charges a variety of different tolls and records information on how many drivers cross the bridge. The city thus gathers information about elasticity of demand. If the city wishes to raise as much revenue as possible from the tolls, where will the city decide to charge a toll: in the inelastic portion of the demand curve, the elastic portion of the demand curve, or the unit elastic portion? Explain using elasticity and total revenue diagram

In: Economics

Which of the following regarding the recognition of contingencies is not correct? IFRS guidance is built...

Which of the following regarding the recognition of contingencies is not correct?

IFRS guidance is built around a balance sheet perspective.

Both IFRS and U.S. GAAP require recognition of a contingent liability when it is both probable and can be reasonably estimated.

U.S. GAAP relies on an income statement perspective.

Only U.S. GAAP requires recognition of a contingent liability, called a provision under IFRS—and the associated contingent loss—when it is both probable and can be reasonably estimated.

In: Accounting

Suppose the average size of a new house built in a certain county in 2014 was...

Suppose the average size of a new house built in a certain county in 2014 was 2,275 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,189​, with a sample standard deviation of 227 square feet. Complete parts a and b.

a. Using α=0.02​, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since​ 2014?

Determine the null and alternative hypotheses.

H0​:μ ▼ greater than or equals ≥ not equals ≠ less than or equals ≤ equals =

H1​:μ ▼ equals = not equals ≠ less than < greater than > ​(Type integers or decimals. Do not​ round.)

Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. ​(Round to three decimal places as​ needed.)

A. tα=

B. −tα=

C. tα/2 equals =

Calculate the appropriate test statistic.

t-x= ​(Round to two decimal places as​ needed.)

State the conclusion.

(Reject/Do not reject) H0. There is/is not sufficient evidence to conclude that the average house size of a new home in the county has (stayed the same/decreased/changed/increased) since 2014.

b. Determine the precise​ p-value for this test using Excel.

The​ p-value is . ​(Round to three decimal places as​ needed.)

In: Statistics and Probability

A company has just built a new factory to manufacture their widgets with a method they...

A company has just built a new factory to manufacture their widgets with a method they believe should be more efficient than their old method on a daily basis. To compare they recorded the number of widgets produced by the old factory for the last 9 days before it was shutdown and the first 8 days of the new factory's production. The company has reason to believe that daily production of widgets does not follow the normal distribution and have requested the use of the Wilcoxon rank sum test.

Old Factory: New Factory:
218 321
235 248
225 306
235 291
268 273
236 341
269 337
209 303
231

What would be the correct hypothesis test assuming that μ1 is the mean number produced by the old factory and μ2 is the mean number produced by the new factory?


H0: μ1 = μ2 vs. Ha: μ1 > μ2
H0: μ1 > μ2 vs. Ha: μ1 = μ2
H0: μ1 = μ2 vs. Ha: μ1 < μ2
H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2

What rank should the value 236 from the old factory data have?

Calculate μW

Calculate the test statistic W

What is the approximate p value? (Hint: treat W as normally distributed)

In: Statistics and Probability

A company has just built a new factory to manufacture their widgets with a method they...

A company has just built a new factory to manufacture their widgets with a method they believe should be more efficient than their old method on a daily basis. To compare they recorded the number of widgets produced by the old factory for the last 8 days before it was shutdown and the first 9 days of the new factory's production. The company has reason to believe that daily production of widgets does not follow the normal distribution and have requested the use of the Wilcoxon rank sum test.

New Factory: Old Factory:
275 280
228 219
238 267
314 255
238 240
295 297
246 293
251 265
297

What would be the correct hypothesis test assuming that μ1 is the mean number produced by the old factory and μ2 is the mean number produced by the new factory?


H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2
H0: μ1 = μ2 vs. Ha: μ1 > μ2
H0: μ1 > μ2 vs. Ha: μ1 = μ2
H0: μ1 = μ2 vs. Ha: μ1 < μ2

What rank should the value 267 from the old factory data have?

Calculate μW.   and Calculate the test statistic W

What is the approximate p value? (Hint: treat W as normally distributed)

In: Statistics and Probability

Information about a pickling company is given below. (Pickling: A plot to be built is the...

Information about a pickling company is given below.

(Pickling: A plot to be built is the name given to the stripping of vegetative or soft soil on a land to be filled, and the soil on the ore in open mining enterprises.)

Variable Expenses Electricity Expenses: 100 TL/m3

Diesel and Oil Expenses: 500 TL/m3

Tire and Spare Parts Expenses: 400 TL/m3

Explosive Expenses: 300 TL/m3

Other Variable Expenses: 200 TL/m3

Fixed costs Depreciation, insurance and interest expenses: 1.5 billion TL/year

Compulsory labour and personnel expenses: 0.5 billion TL/year

Other Fixed Expenses: 0.5 billion TL/year Revenue: 5000 TL/m3

Production Capacity is 2000000 m3 /year

a) Find the breakeven point as the production amount?

b) Find the amount of pickling that the company needs to make in order to make a profit of 3 billion TL/year.

In: Economics

A fence is to be built to enclose a rectangular area. The fence along three sides...

A fence is to be built to enclose a rectangular area. The fence along three sides is to be made of material that costs $5 per foot. The material for the fourth side costs $15 per foot.If $3,000 is available for the fencing, find the dimensions of the rectangle that will enclose the most area.

In: Math

A city built a new parking garage in a business district. For a random sample of...

A city built a new parking garage in a business district. For a random sample of 64 days, daily fees collected averaged $2,000, with a standard deviation of $400.

(a) Construct a 90% confidence interval estimate of the mean daily parking fees collected.

(b) Describe the confidence interval in everyday language.

In: Statistics and Probability

For a classroom demonstration, a professor built an RL circuit similar to the one shown in...

For a classroom demonstration, a professor built an RL circuit similar to the one shown in the figure, with e m f = 6.00 V, L = 5.80 mH, and R = 3.80 Ω.

A rectangular circuit contains a battery of emf ℰ on its left side, with the positive terminal above the negative terminal. An open switch S is on the top side, an inductor L is on the right side, and a resistor R is on the bottom side.

(a) What is the inductive time constant of the circuit (in ms)? _________________ms

(b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. _________________A

(c) What is the value of the final steady-state current (in A)? A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? _____________ms

In: Physics