6. Monarch butterflies migrate thousands of miles every fall from Canada and the United States down to Mexico. There they go into a state of diapause for the winter months. Diapause is a period of dormancy in which no growth occurs. When monarchs emerge from this state in the spring, they head north to southern parts of the United States, where they breed. After producing offspring, this generation of butterflies dies. Over the spring and summer, several more generations come and go before the final generation that must make the journey south to Mexico in the fall. In this way, some monarchs never make the migration journey, and those that do must make it without any guidance from other monarchs.

Explain how both environmental and genetic factors must contribute to the timing and directional movement of monarchs in their migration behavior.

1) A 1150 kg car drives along a city street at 27.0 miles per hour (12.1 m/s). What speed must the 0.142 kg baseball have if its momentum is to be equal in magnitude to that of a car? (answer must be in m/s)

2) Two air-track carts move toward one another on an air track. Cart 1 has a mass of 0.32 kg and a speed of 1.4 m/s. Cart 2 has a mass of 0.68 kg.
   A) What speed must cart 2 have if the total momentum of the system is zero?
   B) Since the momentum of the system is zero, does it follow that the kinetic energy of the system is also zero?
   C) Verify your answer to part B by calculating the system's kinetic energy

3) A 0.150kg baseball is dropped from rest. If the magnitude f the baseball's momentum is 0.800 kg*m/s just before it lands on the ground, from what height was it dropped.

*** no work is necessary. I got these wrong on the quiz I took and would like to be able to trace my own steps bacck from the right answer. THANK YOU!

The mpg (miles per gallon) for all cars has a normal distribution with mean 100 km/L and standard deviation of 15 km/L

a) Calculate the probability that any randomly selected car has an amount of mpg greater than 120 km/L.

b) Calculate the probability that any randomly selected car has an amount of mpg less than 95 km/L.

c) Calculate the probability that any randomly selected car has an amount of mpg between 93 km/L and 110 km/L.

d) A car is identified as a “best quality” if it is included in the top 2% of all mpgs. Find the minimum mpg needed to be qualified as “best quality”.

Twenty-five different cars were​ tested, and their weights​ (in pounds) and mileage​ (miles per​ gallon) were measured. The regression of mileage on weight has the MINITAB regression output shown below. Answer parts ​a-d.

For the prediction equation determine the value of the​ y-intercept and the slope?

Interpret the slope in terms of a​ 1000-pound increase in the vehicle weight?

Interpret the​ y-intercept?

During one​ year, there were 10 hurricanes recorded. Their maximum wind​ speeds, in miles per hour​ (mph), were as shown in the following table. Consider these storms a population of interest. Obtain the following parameters for the maximum wind speeds. Use the appropriate mathematical notation for the parameters to express your answers. a. Mean b. Standard deviation c. Median d. Mode e. IQR Max wind (mph) 80 100 115 85 105 85 110 90 95 110 a. The population mean is represented by x overbar eta Upper M x overbar sigma s mu and is equal to nothing.

General Assignment:

My friend drives a 2010 Nissan Altima with ? 105,500 miles. Assuming he could drive this car for up to 5 more years and then sell, calculate the equivalent uniform annual cost of ownership over the next 5 years.

Specific Instructions:

Estimate 6 costs of ownership over the next 5 years. He knows his car is aging, so at least two of your cash flows need to be gradient cash flows. Explain each of your estimates (e.g. if you estimate a salvage value, explain why). There are many sources of information about costs for cars (library, internet, local mechanics,. . . ). The more specific your information is to this car, the better.

Compute his EUAC, showing work.

Now perform a sensitivity analysis by considering if one of the factors you have estimated was either 20% higher than you estimated or 20% lower than you estimated. How will this affect your EUAC.

Identify one replacement options and calculate the same set of costs of ownership for that car.

Determine if and when you would recommend him to replace his car.

Grading

- Each of the five specific instructions is worth 20 points.

- For each 20-point instruction, 15 points are for following instructions (and correct computation)

I will check one (at random) of your sources, did you estimate 6 cash flows, were 2 of them gradients

I will check your work to see if EUAC is correct.

Discuss the role of economic analysis in the decision-making process.

Discuss what variables are missing from your analysis and why. Discuss the role uncertainty plays in this decision-making process.

“The average salvage value for a 2001 model vehicle today is $1,000.00” [Source X]

- Regardless of whether this information and source are correct, this uses no specific information about the make/model/mileage, and doesn't account for 5 more years of lost value by the end of the horizon.
2. Not showing any work, I can't follow what you did.
- THIS IS TO BE DONE IN GROUPS NO LARGER THAN 2: Vehicles have many costs of ownership, and there are many sources of information about them, so I expect different estimates from each of you. If two or more groups have very similar estimates, I'll be fairly suspicious.

The ACME Fuel Company is testing three gasoline additives that potentially improve miles per gallon (mpg). Data on the mpg increases are listed below.

(a) For each of the three additives, make boxplots, probability plots, run Anderson-Darling tests, and Shapiro-Wilks tests to check for normality.

(b) Based the results in part (a), which test (Hartley’s F-max, Bartlett’s, Levene’s) is best to use to check for a difference between the variances of mpg increases for the three additives?

(c) Run the test you suggested in part (b). Be sure to state the null and alternative hypotheses, test statistic, p-value, and conclusion.

Additive 1 Additive 2 Additive 3
6.549242425   10.82721186   16.39651385
8.60769443 8.672993094   13.82644019
5.053919216   8.212382471 6.331782807
2.967964673   11.08228374   10.45064681
7.978100632   8.590190877   21.82354105
7.463924823   10.55720623   10.28018859
10.53623928   9.740637014   15.88060475
9.289187964   7.707613874   13.74817698
5.115349588   10.3504957    10.60781807
8.688854234   9.293838784   10.84792601

Under specified conditions, an automobile manufacturer claims that its new compact car will get more miles per gallon (mpg) than other cars in its class. For cars of the same class, the average is 23 with a variance of 9.00 mpg. To investigate, the manufacturer tested 18 cars in which the average was 19.5 mpg. What can the car manufacturer conclude with α = 0.05?

a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test related-samples t-test

b)
Population:
---Select--- automobile manufacturer mpg specified conditions tested cars cars in same class
Sample:
---Select--- automobile manufacturer mpg specified conditions tested cars cars in same class

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

Under specified driving conditions, the new compact car gets significantly more mpg than cars in its class.

Under specified driving conditions, the new compact car gets significantly less mpg than cars in its class.    

Under specified driving conditions, the new compact car does not get significantly different mpg than cars in its class.

Under specified driving conditions, an automobile manufacturer believes that its new SUV will get more miles per gallon (mpg) than other automobiles in its class. For automobiles of the same class, the mean is 22 with a variance of 16.00 mpg. To investigate, the manufacturer tested 25 of its new SUV in which the mean was 20.5 mpg. What can be concluded with α = 0.01?

a) What is the appropriate test statistic?
---Select---naz-testone-sample t-testindependent-samples t-testrelated-samples t-test

b)
Population:
---Select---SUVs in same classmpgspecified conditionsautomobile manufacturertested SUVs
Sample:
---Select---SUVs in same classmpgspecified conditionsautomobile manufacturertested SUVs

c) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =______ ; test statistic = _________
Decision: ---Select---Reject H0Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[____ , _____ ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d =_______ ;  ---Select---natrivial effectsmall effectmedium effectlarge effect
r² =____ ;  ---Select---natrivial effectsmall effectmedium effectlarge effect

f) Make an interpretation based on the results.

Under the specified conditions, the new SUV gets significantly more mpg than other automobiles in its class.

Under the specified conditions, the new SUV gets significantly less mpg than other automobiles in its class.    

Under the specified conditions, the new SUV does not get significantly different mpg than other automobiles in its class.

A car company advertises that their Super Spiffy Sedan averages 29 mpg (miles per gallon). You randomly select a sample of Super Spiffies from local dealerships and test their gas mileage under similar conditions.

You get the following MPG scores:

33 27 32 34 34 28 27 31

Note: SSx = 63.50

Using alpha =.01, conduct the 8 steps to hypothesis testing to determine whether the actual gas mileage for these cars differs significantly from 29mpg.