An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 29 uC/m^3. Concentric with the cylinder is cylindrical conduction shell of inner radius b = 10.2cm and outer radius c= 12.2 cm. The conducting shell has a linear charge density = -0.33 uC/m.

1. What is Ey (R), the y-component of the electric field at point R, located a distance d =50cm from the original a long the y -axis is shown?

2. What is V(P)-V(R), the potential difference between points P and R? Point P is located at (x,y)= (50 cm, 50 cm)?

3. What is V(c)- V(a), the potential difference between the outer surface of the conductor and the outer surface of the insulator?

4. The charge density of the insulating cylinder is now changed to new value , p' and it is found that the electric fiel at point p is now zero. What is the value of p?

1. Interpret the results of the studies below.

a) A study was run to estimate the difference between UC students and CSU students in the proportion that work full-time. A random sample of 200 UC students had 42 that worked full-time. A random sample of 300 CSU students had 96 that worked full-time. Researchers found a 95% confidence interval of -0.187<P_UC-P_CSU<-0.033.

b) A study was run to determine if a new machine at a factory was less likely to produce flawed products than the old machine. A random sample of 200 products from the old machine had 11 flawed. A random sample of 200 products from the new machine had 9 flawed. Researchers set a significance level of 5% and found a p-value of 0.179.

2. Newborn males have a mean length of 49.9cm with a standard deviation of 1.9cm. Researchers plan to take a random sample of 50 newborn males. Find the shape, center, and spread for the sampling distribution.

1. Under the UC Guide to Healthy Lawns: List 5 common turf diseases and the cause of each.

2. Under the UC Guide to Healthy Lawns: List 5 common turf insects and list the damage each may cause.

3. Under the UC Guide to Healthy Lawns: What are the symptoms of compaction?

4. Under Trees & Shrubs: What is Black Spot on Roses? How can Black Spot be managed?

5. Under Trees & Shrubs: What do Gall Mites do to Camellias?

6. Under Trees & Shrubs: What causes Anthracnose on Sycamores? Is anthracnose fatal?

7. Under Insects, mites, mollusks, and nematodes: What is the difference between an Argentine Ant and a Carpenter Ant?

8. Under Insects, mites, mollusks, and nematodes: What is a Firebrat? What damage do they do?

9. Under Insects, mites, mollusks, and nematodes: What type of damage is caused by Boxelder Bugs? How should Boxelder Bugs be managed?

10. Under Insects, mites, mollusks, and nematodes: What is the importance of Millipedes and Centipedes?

1)A professor using an open-source introductory statistics book predicts that 60% of the students will purchase a hard copy of the book, 25% will print it out from the web, and 15% will read it online. She has 200 students this semester. Assuming that the professor's predictions were correct, calculate the expected number of students who read the book online.

2)The number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. Source: "HIV/AIDS Epidemiology Santa Clara County", Santa Clara County Public Health Department, May 2011.

Directions: Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County.

1. Choose the correct null and alternative hypotheses.
   • H0:H0: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County.
     HaHa The distribution of AIDS cases is different from the race distribution in Santa Clara County.
   • H0H0 The distribution of AIDS cases is different from the race distribution in Santa Clara County.
     Ha:Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County.
2. Compute the test statistic.
   
   The population distribution of Santa Clara County by race is provided in the table below. Use these percentages to compute the expected number of cases for each racial group. Round each of the expected counts to 2 decimal places.
   

   Race	Proportion	Expected cases
   White	0.424
   Hispanic	0.259
   Black	0.025
   Asian/Pacific Islander	0.292
   Total	1

   
   Determine the value of the test statistic. Round your answer to 1 decimal place.
   
   χ2=χ2=
   
3. Compute the p-value. Round your answer to 4 decimal places.
   
   p-value =
   
4. Interpret the results of the significance test.
   • The differences between the distribution of AIDS cases and the distribution of the general population in Santa Clara County are not statistically significant. From a practical perspective, the differences are minor.
   • The differences between the distribution of AIDS cases and the distribution of the general population in Santa Clara County is statistically significant. The differences are also important from a practical perspective. For example, the number of blacks with AIDS is 3.6 times more than expected and the number of Asian/Pacific Islanders with AIDS is 4.1 times less than expected.

The resting surface charge density of a membrane is 0.5 uC/cm^2. The resting membrane potential is 0.5 V. It drops to 0 V in 5 ms. If there are 25 Na channels per um^2 that open up during depolarization, what is the average current that flows through a sodium channel during this time (5 ms)? How many sodium ions move through the channel in 5 ms?

9. The table below represents the college degrees awarded in a recent academic year by gender. Choose a degree at random.

Find the probability that it is a) A bachelor’s degree b) A doctorate or a degree awarded to a woman c) A doctorate awarded to a woman d) Not a master’s degree e) doctorate awarded to a man. Answer in a,b,c,d,e format. (IE A=, B=, etc).

             Bachelor’s Master’s Doctorate

Men 542,731 201,322 27,390

Women 785,334 311,267 21,680

Cruz Inc. manufactures a popular premium toy. During its first year, the company incurred these costs:

$427000 Cost to manufacture 7000 toys
$110000 Research and development costs
$35000 Cost to ship completed products to retailers

Cruz sells 80% of its products for $183 each.

1. What will Cruz report as sales revenue for Year1?  

2. What will Cruz report as the cost of goods sold for Year1?  

3. What will Cruz report as net income for Year1?  

4. What will Cruz report as inventory on the balance sheet as of the end of Year1?  

A brief summary of the population- The cohort of the present study is based on a total population of all the final semester nursing students from 2015 through 2018. Which includes a total number of nursing students preparing for the State Board exam, approximately 5000.

The sample size to be used in the study, including the process you used to calculate the sample size-