@ If your answer is based on a calculation, type the Excel functions, along with inputs, you used to obtain your answers.

Please, show me your all works. Thanks.

Questions 1. Emissions of nitrogen oxides, which are the major constituents of

smog, can be modeled using a normal distribution. Let x denote the amount of

this pollutant emitted by a randomly selected vehicle (in parts per billion,

emission level). The distribution of x can be described by a normal

distribution with an average emission value of 1.6 and standard deviation of

0.4.

a. What percentage of vehicles have a minimum emission level of

2 ?

b. Suppose that the EPA wants to offer some sort of incentive to

get the worst polluters off the road. What emission levels constitute the worst

10% of the vehicles?

Questions 2. Consider sampling from a skewed population. As the sample size, n,

increases, some characteristics of the sampling distribution of ?change. Does

an increasing sample size cause changes in the characteristics of the sampling

distribution shown below? If so, specifically how does the sampling

distribution change? Explain in all characteristics in a, b, c and d.

a. The mean of the sampling distribution of ?

b. The standard deviation of the sampling distribution of ?

c. The shape of the sampling distribution of ?

d. How are the quantities, ? and jQuery22403033703612973939_1601416804148 , related?

Questions 3. The distribution of the number of children for families in the

United States has mean 0.9 and standard deviation 1.1. Suppose a television

network selects a random sample of 1000 families in the United States for a

survey on TV viewing habits.

a. Describe (as shape, center and spread) the sampling

distribution of the possible values of the average number of children per

family.

b. What average numbers of children are reasonably likely in the

sample?

c. What is the probability that the average number of children

per family in the sample will be 0.8 or less?

d. What is the probability that the average number of children

per family in the sample will be between 0.8 and 1.0?

Questions 4. The principal at Wonderful Students High School has been asked to

provide the average number of classes taken by the students at WSHS. Since the

computer system is down, he takes his alphabetized list of students, randomly

selects 50 students, determines the number of classes each of the 50 selected

students is taking, and calculates ?= 5.4 He then reports to the PTA

"Since I took a large random sample, the population mean number of classes

taken by the students at WSHS is 5.4." Describe two paragraphs that explains why his statement is not correct.

@ If your answer is based on a calculation, type the Excel

functions, along with inputs, you used to obtain your answers.

Please, show me your all works. Thanks.