An image is partitioned into two regions, one white and the other black. A reading taken from a randomly chosen point in the white section will be normally distributed with μ=4 and σ2=4, whereas one taken from a randomly chosen point in the black region will have a normally distributed reading with parameters (6, 9). A point is randomly chosen on the image and has a reading between 4 and 5. What is the probability that the point is in the black region? Give your answer in terms of Φ.

Assume that α = 1/4. The answer is .1720 for your reference; please make sure you are getting the correct answer.  Please show your work and explain your answer.

1.   The mass of a liquid is 200 cg and its volume is 50 cm3. Report its density in g/mL.

2.   The specific heat of copper is 0.093 cal/g °C and the specific heat of silver is 0.057 cal/g °C. If 200 cal of heat is added to 1g of each, which of them will have a higher temperature?
3.   Calculate the heat energy evolved when 5.46 g of water rises in temperature from 25 °C to 74 °C. (the specific heat capacity of water is 4.18 J/g °C)
4.   A 0.9% NaCl solution and a 5% glucose solution are isotonic to the cells of the body. State any changes that would occur, if a red blood cell was place in a 7% NaCl solution and explain why.
5.   What is the relationship between the concentration of a base and its alkalinity/basicity?
6.   Calculate the pH of a solution that has a pOH of 12. What is the [H+]?
7.   Calculate the [H+] of a solution with a pH of 4.7. Is this substance acidic or basic?
8.   What is the pH of a solution with [OH-] of 2.35 × 10-5?
9.   What is the pH of a solution with [H+] = 3.62 × 10-4?
10.   pH + pOH =

x: 1.5, 1, .25, .5

y: 3.75, 2, 1, 1.75

1) what is the % variation in y explained by the regression

2) test the null hypothesis that the slope =0 with the alternative that slope is not =0 and using alpha =.01. write down the test p value and state your conclusion about the hypothesis.

In a Harris poll of 514 human resource professionals, 45.9% said that body piercings and tattoos were big
grooming red flags. A professor of personnel managements believes that fewer than half of all human resources
professionals would say that body piercings and tattoos were big grooming red flags. Use a significance level of
0.01 and 0.05
H0: _____ _____ ______
Ha: _____ _____ ______
a. Follow our procedure on page 2 of our Unit 3 Day 1 notes to bracket the claim, etc.
b. Which word or phrase in the claim determines the inequality in the alternative hypothesis:
_________________
c. Which word, phrase or symbol in the problem tells us that this problem involves a test for the proportion,
and not a mean? _______________________________________________
d. Fill in the hypothesis.
e. Explain why the number “45.9” does not appear in the hypothesis: _______________________
_____________________________________________________________________________________
f. The p-value is 0.032. Find the outcome of the test and write a plain English interpretation of the outcome
using both α = 0.01 and α = 0.05.

Question

a The following six sales figures (X) were randomly sampled
$28, $34, $40, $44, $52, $54, with ∑X =$252 and ∑X2 = $211,096

i Determine the median and mean. What do these suggest about the distribution of the sales data?

ii What is the standard deviation of the sales data?

iii If a frequency distribution for the sales was constructed, what would be the mid-point and frequency and relative frequency for class “Sales $30 to under $40”?

iv Estimate the 1st quartile for the sales data.

b

You have obtained a data set for 2015, that contains all the work place accidents that occurred at a state government department. The data includes: the gender of worker involved, their education level (high school only, college, university), the cause of the accident (stairs, staplers, other), the cost to the department in dollars, the day of the week, and number of stories in the building in which the accident occurred.

i Identify which variables are categorical and state whether they are nominal or ordinal.

ii Identify which variables are numerical and state whether they are discrete or continuous.

iii If you wished to use the data to predict the average cost to the department per accident for all state government departments in 2015, can the data be used for such a purpose? Why or why not? If so, how? If not, what additional data, or variables, would allow this?

iv If you wished to use the data to predict the chance of an accident occurring for Mondays in 2015 at the state government department, can the data be used for such a purpose? Why or why not? If so, how? If not, what additional data or variables, would allow this?

Built in Data In R:

This Question uses "cystfibr" data found in "ISwR" package. to access this data you need to first install "ISwR" package. then load the library. Type data() to check which built in data are in the package "ISwR". This should show all the available built in data as: We use nickel data for this part. Type >cystfibr to see the data, and then answer the following questions using the data: (a) type ?cystfibr this will open up a help file explaining about the 'cystfibr' data. What is cystfibr data about? (b) How many Males and how many Females are in the study? (c). Construct a bar diagram of the male and female. Change color to Red. {hint: barplot(table(sex))} (d.) Calculate the average height of the participants (e). Calculate the variance of the weight of the participants. (f). Calculate the Standard Deviation of the weight of the participants. (g). Construct a histogram of weight of the participants. (h). Construct a scattered plot height and weight [hint: plot(height, weight)]

Locate the section of the chapter: "C" Characteristics Of Effective Communication.(Page 153-155)

1. List and describe these characteristics: 10 Points

2. Explain why concise writing is important: 5 points

3.Use the Concise Writing Chart on page 155 to write five "Wordy" sentences. Revise each "Wordy" sentence using concise wording instead: 15 points

EXAMPLE :

1. We are not accepting applications at the present time. We are not accepting applications now.

(you may not use the example)

Previous

Explain in your own words what the overall catalytic efficiency really compares and what it tells us about our enzyme

Evolution:

What are the issues about the classification of the hagfish and of the birds? Explain the controversy (or disagreement) which has involved each of these groups.

write a paper on current medical ethics issue "Abortion"

Your paper should:

• Discuss the technical aspects of your topic in general terms.
• Discuss the public policy debates relevant to the topic you choose. This section should cover arguments that are in favor of and opposed to the use of the techniques or products.
• Express your personal opinion regarding the importance of the topic and the validity of the pro and con arguments.