Question 1:

There are more than 200 million people nationally age 15 or older. Explain why?this, along with the fact that the data were obtained using a random?sample, satisfies the requirements for constructing a confidence interval.

A.

The sample size is greater than?5% of the population.

B.

The sample size is less than?5% of the population.

Your answer is correct.

C.

The sample size is less than?10% of the population.

D.

The sample size is greater than?10% of the population.

Question 2:

) A histogram of time spent eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spent eating and drinking each day.

A.

The distribution of the sample mean will always be approximately normal.

B.

The distribution of the sample mean will never be approximately normal.

C.

Since the distribution of time spent eating and drinking each day is not normally distributed?(skewed right), the sample must be large so that the distribution of the sample mean will be approximately normal.

Your answer is correct.

D.

Since the distribution of time spent eating and drinking each day is normally?distributed, the sample must be large so that the distribution of the sample mean will be approximately normal.

Question 3:

Determine and interpret a 90?confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day.

Select the correct choice below and fill in the answer?boxes, if?applicable, in your choice.

?(Type integers or decimals rounded to three decimal places as needed. Use ascending?order.)

A.

The nutritionist is 90?% confident that the amount of time spent eating or drinking per day for any individual is between nothing and nothing hours.

B.

There is a 90?% probability that the mean amount of time spent eating or drinking per day is between nothing and nothing hours.

C.

The nutritionist is 90?% confident that the mean amount of time spent eating or drinking per day is between nothing and nothing hours.

D.

The requirements for constructing a confidence interval are not satisfied.

Question 4:

The cycle of 125,000 man hours by measuring the time spent on the production of the first boat in a company that manufactures boats. At this firm, updating labor cost at $ 40 per hour. In the past, it is known that the rate of learning can learn from analyzes is 85%. Accordingly, answer the questions in the options given below.

a) Cumulative calculation required for a total of four bots.

b) Determine the total labor cost for the four boats produced.

c) If you teach 100,000 man hours for the production of the third bot and the learning rate is 80%, it will take into account how long the first bot is produced.

Question 5:

Let X1 and X2 be independent random variables having the standard normal distribution. Obtain the joint Lebesgue density of (Y1, Yz), where Yi = VX?+ X} and Y2 = X1/X2. Are Y1 and Y2 independent? Note. For this type of problem, we may apply the following result. Let X be a random k-vector with a Lebesgue density fx and let Y = g(X), where g is a Borel function from (R*, B* ) to (R*, B*). Let A1, . .., Am, be disjoint sets in B* such that R* - (Aj U . . . U Am,) has Lebesgue measure 0 and g on A; is one-to-one with a nonvanishing Jacobian, i.e., the determinant Det(Og(x)/Or) # 0 on Aj, j =1. .... m. Then Y has the following Lebesgue density: fy (x) = >Det (Oh, (x)/ar) | fx (h,(r)). j=1 where h, is the inverse function of g on A;, j = 1, ..., m.A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000 and the standard deviation was $5000. If 50 homes are selected for sale, find the probability that the mean of the values of these homes is more than $83,500. Check to see whether the correction factor should be used. If so, be sure to include it in the computation. Show your work or explain how you obtained your answer. If using the graphing calculator, write the function you are using and the numbers you typed into the calculator. a) Compute the z value first rounded to 2 decimal places. b) Compute the probability that the mean of the values of these homes is more than $83,500. An instructor gives a 100-point examination in which the grades are normally distributed. The mean is 72 and the standard deviation is 8. If there are 5% A's, 5% F's, 20% B's, 20% D's, and 50% C's. Compute the interval of scores in the C, D and F categories. Round the cut off scores to the nearest whole number. Round your z value to two decimal places. NOTE: Show your work or explain clearly how you obtained your answers. A local medical association wants to sponsor a footrace to raise money for cancer research. The average time it takes to run the course is 45 minutes with a standard deviation of 2.8 minutes. If the association decides to award certificates to the fastest 20% of the racers, what should the cutoff time be (round to 1 decimal place)? Show some work or explain how you obtained your answer. When using the calculator write the calculator function you are using including the relevant numerical information or numbers you typed into your calculator