You may need to use the appropriate technology to answer this question.

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = 0.05.

Find the value of the test statistic for method of loading and unloading.

Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)

p-value =

State your conclusion about method of loading and unloading.

Because the p-value > α = 0.05, method of loading and unloading is not significant.Because the p-value > α = 0.05, method of loading and unloading is significant.    Because the p-value ≤ α = 0.05, method of loading and unloading is not significant.Because the p-value ≤ α = 0.05, method of loading and unloading is significant.

Find the value of the test statistic for type of ride.

Find the p-value for type of ride. (Round your answer to three decimal places.)

p-value =

State your conclusion about type of ride.

Because the p-value > α = 0.05, type of ride is significant.Because the p-value ≤ α = 0.05, type of ride is not significant.    Because the p-value > α = 0.05, type of ride is not significant.Because the p-value ≤ α = 0.05, type of ride is significant.

Find the value of the test statistic for interaction between method of loading and unloading and type of ride.

Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.)

p-value =

State your conclusion about interaction between method of loading and unloading and type of ride.

Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is not significant.

Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is not significant.   

Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is significant.

Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is significant.

In an amusement park ride, a 4m long lightweight rod connects the center motorized pivot to a car. The motor applies a couple of 30t2 Nm, and another motor in the car generates a forward force F=15t N. The mass of the car and rider is 150 kg. If the car starts from rest,

a. Determine the speed of the car at t = 10 s.

b. At t=10s, the center motor is switched off and spins freely, but the car motor remains engaged. What is the force in the rod.

c. If at t =15s the car motor is also switched off, and brakes are applied that deliver a constant force of 10N, how long does it take for the car to come to rest after the brakes are applied.

How Much of a Major Auto Accident Loss Will Be Covered? Ashley Diamond of Estes Park, Colorado, drives an eight-year-old Toyota valued at $9,900. She has a $70,000 personal automobile policy with $10,000 per-person medical payments coverage and both collision ($200 deductible) and comprehensive coverage. David Smith of Loveland, Colorado, drives a four-year-old Chevrolet Malibu valued at $9,300. He has a 25/50/15 family automobile policy with $18,000 in medical payments coverage and both collision ($100 deductible) and comprehensive insurance. Late one evening, while he was driving back from Rocky Mountain National Park, David's car crossed the centerline of the road, striking Ashley's car and forcing it into a ditch. David's car also left the road and did extensive damage to the front of a roadside store. The following table indicates the damages and their dollar amounts:

Item

Amount Bodily injuries suffered by Ashley $ 6,600

Bodily injuries suffered by Fran, a passenger in Ashley's car 28,517

Ashley's car 9,900

Bodily injuries suffered by David 2,500

Bodily injuries suffered by Cecilia, a passenger in David's car 12,855

David's car 9,300 Damage to the roadside store 14,011

Use the information to answer these questions. Round your answers to the nearest dollar.

How much will Ashley's policy pay Ashley?

$

How much will Ashley's policy pay Fran?

$

Will subrogation rights come into play? In what way? The input in the box below will not be graded, but may be reviewed and considered by your instructor.

How much will David's bodily injury liability protection pay?

$

How much will David's property damage liability protection pay?

$

To whom will David's property damage liability protection pay?

How much will David's medical protection pay?

$

To whom will David's medical protection pay?

How much reimbursement will David receive for his car?

$

How much will David be required to pay out of his own pocket?

$

6. Caretakers, a local nonprofit organization, operates the concession stands for the Newland Baseball Park, home of the Newland Nuggets (a minor league baseball team). Doing so permits Caretakers to raise funds to operate its soup kitchen. Caretakers is concerned with waste in the concessions area. Too many precooked hot dogs are left over after a game. Heinz Canine, Caretakers’ research analyst, feels that hot dog consumption (and other concession sales) can be predicted by the number of advance sale tickets purchased for a game (attendance is usually twice advance sales). Heinz gathers the accompanying data for a sample of 10 days. Run the regression for Heinz and tell him whether his hypothesis is correct. Predict how many hot dogs will be sold if 1,000 advance tickets are sold.

A random survey was conducted at Disneyland to determine how long park guests waited in line for Space Mountain (in minutes). The collected data is provided below:

65 67 54 57 72 64 55

71 64 60 84 54 74 76

62 60 71 59 58 53 63

65 68 69 90 74 59 75

63 51

The posted wait time was listed to be 60 minutes. At the 1% significance level, perform and interpret a hypothesis test to determine if the actual wait time for Space Mountain was more than 60 minutes.

1. Old Faithful, located in Yellowstone National Park, is the world’s most famous geyser. The durations (in minutes) of several of Old Faithful’s eruptions and the times (in minutes) until the next eruption are shown in the table below. Calculate the correlation coefficient and determine the “best fit” line equation using linear regression.

2. Using the equation for the best-fit line from problem 1, determine the following:

1. If the duration of an eruption of Old Faithful is 2.90 minutes, how long until it erupts again?
2. If the time between eruptions is 65 minutes, how long will the eruption last?

3. The US navy has done a lot of research on the optimal time for a scuba diver to be on the bottom of the ocean. The Navy defines the optimal time to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters and y = optimal time in hours. A random sample of divers gave the following data (based on information taken from Medical Physiology by A. C. Guyton, M.D.)

Use a 1% level of significance to test the claim that ρ < 0. (I do need you to step through the five steps of hypothesis testing that we have been using in class. You can use SPSS to calculate r and as a check to what you find when you complete the hypothesis test).

You may need to use the appropriate technology to answer this question.

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = 0.05.

Find the value of the test statistic for method of loading and unloading.

Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)

p-value =

State your conclusion about method of loading and unloading.

Because the p-value ≤ α = 0.05, method of loading and unloading is significant.

Because the p-value ≤ α = 0.05, method of loading and unloading is not significant.   

Because the p-value > α = 0.05, method of loading and unloading is significant.

Because the p-value > α = 0.05, method of loading and unloading is not significant.

Find the value of the test statistic for type of ride.

Find the p-value for type of ride. (Round your answer to three decimal places.)

p-value =

State your conclusion about type of ride.

Because the p-value > α = 0.05, type of ride is not significant.

Because the p-value ≤ α = 0.05, type of ride is significant.    

Because the p-value > α = 0.05, type of ride is significant.

Because the p-value ≤ α = 0.05, type of ride is not significant.

Find the value of the test statistic for interaction between method of loading and unloading and type of ride.

Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.)

p-value =

State your conclusion about interaction between method of loading and unloading and type of ride.

Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is significant.

Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is not significant.    

Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is not significant.

Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is significant.

Harvey is riding his bicycle, no-handed, and at a very fast speed down a park path. Trish, a jogger, accompanied by her dog, Rover on a leash is approaching Harvey from the other direction. Because he knows that he is bigger and faster on his bike, Harvey expects Trish to move out of his way. Unfortunately, Trish does not and as Harvey passes Trish, he side-swipes her knocking her to the ground and injuring her. Rover is inadvertently released when Trish falls, and he runs off into the road.

Monty is driving carefully down the road. Seeing Rover running into his path and wanting to avoid hitting him, Monty swerves driving off the road and onto the sidewalk, damaging his wheel alignment when he jumps the curb.

Grandma Jenkins is babysitting young Elvis, her grandson. Elvis happens to be playing hopscotch on the sidewalk across the street from the park. Fortunately, Monty's veering car stops far short of Elvis, and all is well for the tot (except for anxiety he suffered when he looked up and saw Monty's car heading straight for him). Unfortunately, Grandma Jenkins, observing the car veering off the road and heading straight toward her grandson, suffers a heart attack.

Analyze the following questions based on Negligence -

Is Harvey liable for Grandma Jenkins' heart attack?

Is Harvey liable for the anxiety that Elvis suffered?

Is Harvey liable for the damage to Monty's car?

Is Harvey liable for the injuries suffered by Trish and the loss of Rover?

The marketing department of Deer Park has submitted the following sales forecast for the upcoming fiscal year (all sales are on account):

The selling price of the company’s product is $18 per unit. Management expects to collect 75% of sales in the quarter in which the sales are made, 20% in the following quarter, and 5% of sales are expected to be uncollectible. The beginning balance of accounts receivable, all of which is expected to be collected in the first quarter, is $72,000.

The company expects to start the first quarter with 1,785 units in finished goods inventory. Management desires an ending finished goods inventory in each quarter equal to 15% of the next quarter’s budgeted sales. The desired ending finished goods inventory for the fourth quarter is 1,985 units.

Required:

1. Calculate the estimated sales for each quarter of the fiscal year and for the year as a whole.

2. Calculate the expected cash collections for each quarter of the fiscal year and for the year as a whole.

3. Calculate the required production in units of finished goods for each quarter of the fiscal year and for the year as a whole.

You work for the National Park Service testing a small cannon used to prevent avalanches by shooting down snow overhanging the sides of mountains. In order to determine the range of the cannon, it is necessary to know the speed with which the projectile leaves the cannon (muzzle speed), relative to the ground. The cannon you are testing has a weight of 500 lbs. and shoots a 20-lb. projectile. During lab tests where the cannon is held and cannot move, the muzzle speed is 400 m/s. You want to calculate the projectile's muzzle speed with respect to the ground under field conditions when the cannon is mounted so that it is free to move (recoil) when fired. You take the case where the cannon is fired horizontally using the same shells as in the laboratory.