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 comma 9273,927

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

100100

hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was

​$3 comma 8603,860

with the sample standard deviation of

​$300300.

Complete parts​ (a) and​ (b) below.

a. Is there evidence that the population mean cost is less than

​$3 comma 9273,927​?

​(Use a

0.050.05

level of​ significance.)

State the null and alternative hypotheses.

H0​:

muμ

▼

not equals≠

greater than or equals≥

greater than>

less than or equals≤

less than<

equals=

​$nothing

H1​:

muμ

▼

equals=

greater than or equals≥

greater than>

less than<

less than or equals≤

not equals≠

​$nothing

​(Type integers or​ decimals.)

Find the test statistic for this hypothesis test.

test

statisticequals=nothing

​(Round to two decimal places as​ needed.)

The critical​ value(s) for the test statistic​ is(are)

nothing.

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Is there sufficient evidence to reject the null hypothesis using

alphaαequals=0.050.05​?

A.

RejectReject

the null hypothesis. There is

sufficientsufficient

evidence at the

0.050.05

level of significance that the population mean cost is less than

​$3 comma 9273,927.

B.

Do not rejectDo not reject

the null hypothesis. There is

insufficientinsufficient

evidence at the

0.050.05

level of significance that the population mean cost is greater than

​$3 comma 9273,927.

C.

RejectReject

the null hypothesis. There is

sufficientsufficient

evidence at the

0.050.05

level of significance that the population mean cost is greater than

​$3 comma 9273,927.

D.

Do not rejectDo not reject

the null hypothesis. There is

insufficientinsufficient

evidence at the

0.050.05

level of significance that the population mean cost is less than

​$3 comma 9273,927.

b. Determine the​ p-value and interpret its meaning.

The​ p-value is

nothing.

​(Round to three decimal places as​ needed.)

What does this​ p-value mean given the results of part​ (a)?

A.The​ p-value is the probability that the actual mean cost is

​$3 comma 8603,860

or less.

B.The​ p-value is the probability that the actual mean cost is

​$3 comma 9273,927

or less given the sample mean cost is

​$3 comma 8603,860.

C.The​ p-value is the probability that the actual mean cost is more than

​$3 comma 8603,860.

D.The​ p-value is the probability of getting a sample mean cost of

​$3 comma 8603,860

or less if the actual mean cost is

​$3 comma 9273,927.

2A. The label on a 1.00-L bottle of wine states that the alcohol content is 12.5% (v/v). How much alcohol is present in the bottle?

2B. How do you make 2.50 L of 3.25 M NaHC03?

2C. How do you make 2.50 L of 0.200 M NaOH?

2D.Tell the type of solution(solid-in-liquid, etc) represented by each of the following: Gasohol, Wax in gasoline, and Gas mixture used as anesthesia

As stated in the Journal of Sports Management article that you read, the last paragraph states: " Giving is taking place by athletes, and that is a fortunate thing, but unless that giving is managed and done in a transparent and strategic manner, we will not know what the impact is".

• Do you think professional athletes should be required to give back to their community?
• What is one celebrity that you feel has impacted the world through their charity work? Why? Has this made you become more of a "fan"?
• What are your thoughts on celebrities and professional athletes who manage to give back? Do you think it's genuine or a public relations boost?

In his book Chances: Risk and Odds in Everyday Life, James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying. (Round your answers to one decimal place.)

(a) Suppose a person answers 90% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies? %

(b) Suppose a person answers 10% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies? %

(c) Repeat parts (a) and (b) if 50% of the questions are answered truthfully and 50% are answered with lies.

(a) % (b) %

(d) Repeat parts (a) and (b) if 15% of the questions are answered truthfully and the rest are answered with lies.

(a) % (b) %

Newton's Law of Cooling states that the rate at which and objects cools is directly proportional to the difference in temperature between the object an the surrounding medium. if an object cools from 125F to 100F in half an hour when surrounded by air at a temperautre of 75F, find it's temperature at the end of the next half hour. (Hint: we wrote a differenial equation involving a proportional relationship before in lecture)

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (2070, 2290). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 22 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.

The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.

(a) Develop the appropriate null and alternative hypotheses.

a) H₀: μ = 1

b) H_a: μ ≠ 1

a) H₀: μ > 1

b) H_a: μ ≤ 1

a)H₀: μ ≥ 1

b) H_a: μ < 1

a) H₀: μ < 1

b) H_a: μ ≥ 1

a) H₀: μ ≤ 1

b) H_a: μ > 1

(b)What is the type I error in this situation? What are the consequences of making this error?

a) It is claiming μ < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.

b) It is claiming μ > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.   

c) It is claiming μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

d) It is claiming μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

(c) What is the type II error in this situation? What are the consequences of making this error?

a) It is concluding μ > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.

b) It is concluding μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.   

c) It is concluding μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

d) It is concluding μ < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.

In explaining the taxation of Controlled Foreign Corporations, states that “a U.S. person that conducts business or invests abroad through a foreign corporation generally pays no U .S. income tax of the foreign corporation’s foreign-sourced earnings unless and until such earnings are distributed to the U.S. person or the U.S. person disposes of the foreign corporation’s stock.” Briefly explain the operation of the current “deferral system” and its replacement under the new tax law. (Not more than one page in explaining the deferral system and two pages in presenting the new law.)

differential equation

12. Newton's law of cooling states that the temperature of an object changes at a rate pro-portional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 200F when freshly poured, and 1 min later has cooled to 190F in a room at 70F, determine when the coffee reaches a temperature of 150F.