Since the state of emergency is set, a metal rod leads 1200 J off a 400 K reservoir to one with a temperature of 250 K for a certain amount time interval. Determine the entropy change before the hot reservoir; the cold reservoir; the metal rod and the whole system.

Determine the change in entropy for each of the following processes: 1.0 kg of water at a temperature of 100◦C transfers to steam with the temperature 100◦C at constant pressure.1.0 kg of ice at a temperature of 0 ° C transfers to water at a temperature 0◦C.1.0 kg of water with the temperature 0◦C is heated to 100◦C.

Susan is a self-employed consultant, earning $80,000 annually. She does not have health insurance but knows that, in a given year, there is a 5 percent probability she will develop a serious illness. If so, she could expect medical bills to be as high as $25,000. Susan derives utility from her income according to the following formula:

U = Y^(0.3), (i.e. Y raised to the 0.3 power), where Y is annual income.

a) What is Susan's expected utility?

b) What is her maximum willingness to pay for health insurance?

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.4, 0.3) distribution. The process specifications call for applying a force between 11.3 and 12.3 kg. (a) What percent of tablets are subject to a force that meets the specifications? % (b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.8 kg. The standard deviation remains 0.3 kg. What percent now meet the specifications? %

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.4, 0.3) distribution. The process specifications call for applying a force between 11.3 and 12.3 kg. (a) What percent of tablets are subject to a force that meets the specifications? % (b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.8 kg. The standard deviation remains 0.3 kg. What percent now meet the specifications? %

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(12, 0.3) distribution. The process specifications call for applying a force between 11.2 and 12.2 kg.

(a) What percent of tablets are subject to a force that meets the specifications? %

(b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.7 kg. The standard deviation remains 0.3 kg. What percent now meet the specifications?

A bottling machine can be regulated so that it discharges an average of μ ounces per bottle. It has been observed that the amount of fill dispensed by the machine has a normal distribution A sample of n= 16 filled bottles is randomly selected from the output of the machine on a given day and the ounces of fill measured for each. The sample variance is equal to one ounce. Find the probability: a) that each bottle filled will be within 0.3 ounce of the true mean? b) that the sample mean will be within 0.3 ounce of the true mean?

A student would like to determine whether the number of pages in a textbook can be used to predict its price. She took a random sample of 30 textbooks from the campus bookstore and recorded the price (in $) and the number of pages in each book. The least squares regression line is calculated to be ŷ = 83 + 0.3x.

Question 21 (1 point)

One textbook in the sample costs $120 and has a residual value of -32. How many pages are in this textbook?

Question 21 options:

Question 22 (1 point)

Saved

Refer to the previous question. We conduct a hypothesis test to determine if there exists a positive linear relationship between number of pages and price of a textbook. The P-value is calculated to be 0.18.

What is the interpretation of this P-value?

Question 22 options: