A random sample of 81 items is selected from a population of size 350. What is the probability that the sample mean will exceed 205 if the population mean is 200 and the population standard deviation equals 25​? ​(Hint: Use the finite population correction factor since the sample size is more than​ 5% of the population​ size.)

Suppose X is a normal random variable with μ = 350 and σ = 40. Find the values of the following probabilities. (Round your answers to four decimal places.)

(a) P(X < 468)

(b) P(390 < X < 454)

(c) P(X > 390)

1. In a sample of 350 students selected from a large college of business, 25% are found to be marketing majors. The 25% is a statistic.

True                 False

2. Lily has been keeping track of what she spends to eat out. The last week's expenditures for meals eaten out were $5.69, $5.95, $6.19, $10.91, $7.49, $14.53, and $7.66. What is the mean amount Lily spends on meals?

__________________

3. Monthly rent in dollars for a sample of 10 stores in a small town in South Dakota are as follows: 220, 216, 220, 205, 210, 240, 195, 235, 204, and 250. What is the sample mean?

__________________

4. Suppose that a firm's sales were $2,500,000 four years ago, and sales have grown annually by 25%, 15%, -5%, and 10% since that time. What was the geometric mean growth rate in sales over the past four years?

                                                                                                __________________

5. The data set 10, 20, 30 has the same variance as the data set 100, 200, 300.

True                 False

6. The values for a sample taken from a particular population are listed below. Calculate the standard deviation for the sample values.

9     14     18     21

                                                __________________

7. A basketball player has the following points for seven games: 20, 25, 32, 18, 19, 22, and 30. Compute the coefficient of variation.

__________________

8. According to the Empirical Rule, if the data form a bell shaped normal distribution, approximately ________ % of the observations will be contained within two standard deviations.

9. In a bell-shaped distribution, there is no difference in the values of the mean, median, and mode.

True                 False

10. A data sample has a mean of 107, a median of 122, and a mode of 134. The distribution of the data is positively skewed.

True                 False

In one well formed post to a discussion write a maximum of 350 words and express the following. As an undergraduate student do you feel that the study of Macroeconomics theory is important and if so why?Explain one topic in macroeconomics (any topic)

0.5 kg of air at 30 bar and 350 °C is allowed to expand reversibly in a cylinder behind a piston in such a way that the temperature remains constant to a pressure of 0.75 bar. Based on the law pv1.05= constant, the air is then compressed until the pressure is 10 bar. Assuming air to be a perfect gas, determine the:

a) net entropy change,
b) net heat flow,
c)net work energy transfer and sketch the processes on a T-s diagram, indicating the area, which represents the heat flow.

in 350 words, What is the adaptive value of dark skin tones in equatorial regions such as Africa? What evolutionary pressure caused a lightening of skin tones away from this area?

A distributor purchased 600 golf sets at $350 each. The markup is 45% of the cost and overhead expense is 20% of the cost. It sold 30% of the sets at the regular selling price, 60% of the remaining sets at a discount of 30%, and the remaining sets at the cost price. Find the overall profit or loss on the sale of the golf sets.

Compare in 175 to 350 words the following communication tools that could be used to create a response, and explain which method of communication you prefer and why you chose this particular communication method:

1.Face-to-Face interaction

2.Phone calls

3.Emails

4.Text

Write about the importance of top management support for successful IT projects in 300 – 350 words.

If you support your discussion with the articles from the Internet, then you MUST provide the references.

The last paragraph should include your opinion on this topic.