A report States that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repaired replacing the hybrid Inverter assembly had a mean repair cost of 3927 in 2012. Industry experts suspect that the cause will continue to decrease given the increase in a number of technicians who have gained expertise on fixing gas electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3780 with a sample standard deviation of $600. Complete parts A and B below.

a. is there evidence that the population mean cost is less than $3,927? (use a 0.05 level of significance)
state the null and alternative hypothesis.

-find the test statistic for this hypothesis test.
(round to two decimal places as needed)

-The critical value for the test statistics is/are...
(round to two decimal places and use commas to separate answers)

b. determine the p-value
(round to three decimal places as needed)

On page 512 of your textbook, it states that “…a 10 o C increase in temperature increases the rate of a typical reaction by two or three times.” Is this the case for the decolorization of CV + ? Show your work using 2 of the average temperatures (from the data table) that differ by about 10 o C. The temps I have are 18.1'C and 28.1'C

**Assigned: In some states the law requires drivers to turn on their headlights when driving in the rain. A highway patrol officer disagrees with this statement and believes that less than (.30) of all drivers follow this rule. As a test, she randomly samples 275 cars driving in the rain and counts the number whose headlights are turned on. She finds this number of cars with headlights on to be 29. Does the officer have enough evidence at 5% level of significance to support her belief that fewer than .30 of all cars follow the rules? One tailed test to the left.

Required in Conclusion section of six step process: Critical ratio/Critical value of Z, Confidence interval and p-value. Use examples in this handout to correctly format the test.

In Assumption section: Include computations to satisfy normal approximation of binomial distribution by solving np≥10 and n(1-p) ≥10. You will have to compute assumption by hand and type the results of each equation onto your homework. (5 points)

Problem You Are Working and Type of Test Z test

Problem Definition: Provide brief description of research objective

Hypothesis

Decision Rule

Test

Conclusion

Interpretation

Assumptions

In the harmonic oscillator problem, the normalized wave functions for the ground and first excited states are ψ₀ and ψ₁. Using these functions, at some point t, a wave function u = Aψ₀ + Bψ₁ is constructed, where A and B are real numbers.
(a) Show that the average value of x in the u state is generally non-zero.

(b) What condition A and B must satisfy if we want the function u to be normalized?

(c) For which values ​​of the constants A and B do we get the maximum and for which minimum of <x>?

The result:

(b) A² + B² = 1
(c) Maximum: A = B = 2^−1/2

A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid​ repair, replacing the hybrid inverter​ assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing​ gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3,890 with the sample standard deviation of ​$300.

Complete parts​ (a) and​ (b) below.

a. Is there evidence that the population mean cost is less than $3,927​? ​(Use a 0.1 level of​ significance.)

The manufacturer of a new hybrid sports utility vehicle (SUV) states that it gets an average of 48 miles per gallon (mpg) on the highway. A consumer group suspects that perhaps the new SUV’s gas efficiency is lower than the manufacturer’s statement. Assume that the gas efficiency of the SUV is approximately normally distributed. The consumer group randomly tests 13 of the new SUV’s under similar highway conditions and obtains the following results: 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50
1a) Write the hypotheses statements below to test the consumer group’s claim

2) Explain what type of hypothesis testing you will perform and whether conditions are met.

3a) Test this hypothesis using a significance level of α = 5%. Clearly label a sketch with appropriate shading and calculate the test statistic

4 Would you reject or fail to reject the null hypothesis?

5 Using a significance level of α = 5%, write a conclusion in the context of this problem

A friend is looking for an SUV that averages 48 mpg or more on the highway. Would you advise your friend to purchase this new model SUV? Yes or No

To understand and be able to use the rules for determining allowable orbital angular momentum states.

Several numbers are necessary to describe the states available to an electron in the hydrogen atom. The principal quantum number n determines the energy of the electron. The orbital quantum number l determines the total angular momentum of the electron, and the magnetic quantum number ml determines the component of the angular momentum parallel to a specific axis, usually the zaxis.

For a given principal quantum number n, the orbital quantum number can take integer values ranging from zero to n?1. For a given orbital quantum number l, the magnetic quantum number can take integer values from ?l to l. A fourth number, the spin ms, is important for interactions with magnetic fields and counting states. The spin can be either +1/2 or ?1/2, independent of the values of the other quantum numbers.

The energy of an electron in hydrogen is related to the principal quantum number by En=(?13.60eV)/n2. The orbital angular momentum is related to the orbital quantum number by L=?l(l+1)???????, and the orbital angular momentum in the z direction is related to the magnetic quantum number by Lz=ml?.

Part A

How many different values of l are possible for an electron with principal quantum number n = 2?

Express your answer as an integer.

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Part B

How many values of ml are possible for an electron with orbital quantum number l = 3?

Express your answer as an integer.

Part C

The quantum state of a particle can be specified by giving a complete set of quantum numbers (n, l, ml, ms). How many different quantum states are possible if the principal quantum number is n = 2?

To find the total number of allowed states, first write down the allowed orbital quantum numbers l, and then write down the number of allowed values of ml for each orbital quantum number. Sum these quantities, and then multiply by 2 to account for the two possible orientations of spin.

Express your answer as an integer.

Part D

Is the state n = 3, l = 3, ml = -2, ms =1/2 an allowable state? If not, why not?

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Part E

What is the maximum angular momentum Lmax that an electron with principal quantum number n = 2 can have?

Express your answer in units of h. (You don't need to enter the , it is in the units field for you.)

The federal government and all states have a minimum wage. As shown in the documentary "Two American Families," many American workers struggle to find a job that pays them much above minimum wage and that allows them to live a comfortable life. This is in stark contrast with 20-30 years ago, when these same workers were employed in good paying jobs that allowed them a comfortable lifestyle, often with only one salary rather than the dual salaries that most families now require.

A job that pays minimum wage does not provide a living wage. Should employers be required to pay a living wage rather than a minimum wage? Why or why not? What do you think would be most helpful to alleviate the problem of poverty and the working poor, whether at a governmental (federal, state or local), community or employer level?

Consider aluminum and oxygen. In their natural states, their standard enthalpy of formation (i.e., the energy of formation at RTP) is zero. Every kilogram of aluminum has (at RTP) an entropy of 1.05 kJ/K, whereas every kilogram of oxygen has an entropy of 6.41 kJ/K. Aluminum burns fiercely, forming an oxide (Al2O3) and releasing energy. The standard enthalpy of formation of the oxide is –1.67 GJ/kmol. The entropy of the oxide is 51.0 kJ/K per kilomole. According to the second law of thermodynamics, the entropy of a closed system suffering any transformation cannot diminish. It can, at best, remain unchanged as the result of the transformation, or else it must increase. If you add up the entropies of the aluminum and of the oxygen, you will discover that the sum exceeds the entropy of the oxide formed. This means that when aluminum combines with oxygen, only part of the chemical energy can be transformed into electricity, while the rest must appear as the heat associated with the missing entropy. That part that can (ideally) be converted into electricity is called the available energy.

Calculate the available energy of the aluminum/oxygen reaction (MJ/kmol).

Calculate the percentage of available to total energy for this reaction (%).

Note: The molecular weights of Al and O2 are 27 and 32 kg/kmol, respectively.

Hess's law of heat summation states that when a chemical equation can be written as the sum of two or more steps, the enthalpy change for the overall equation is equivalent to the sum of the enthalpy changes for the individual steps. Basically, the enthalpy change for the entire chemical change is the same no matter how you go from a reactant to a product. The book describes finding the enthalpy change for the combustion of graphite to carbon monoxide using the equation: 2C(graphite) + O2(g) ----> 2CO(g). To determine the enthalpy change of pure carbon monoxide from graphite and oxygen, you have to apply this law. This is done using 2 steps:

Step 1) 2C(graphite) + 2O2(g) ----> 2CO2(g), which shows the burning of two mol of graphite in 2 mol of oxygen and producing 2 mol of carbon dioxide. Step 2) 2CO2(g) ---> 2CO(g) + O2(g), which shows decomposing carbon dioxide to give 2 mole of carbon monoxide and 1 mol of oxygen. Then you have to find the enthalpy change for each step and so on. Can you give me an example of when to use this law and show the steps to solve the equation?