For the data set

(a) Find the 79th percentile.

(b) Find the 44th percentile.

(c)Find 19th percentile.

(d) Find the 66th percentile.

Summarize key data distribution concepts including probability mass functions (PMF), probability density functions (PDF), and cumulative distribution functions (CDF). Based on your organization or any organization you are most familiar with, provide an example of a PMF, an example of a PDF, and an example of a CDF, based on the type of data used in the organization. How would you summarize each of these to someone who is not familiar with each of these functions?

1. What are the assumptions for various forms of hypothesis testing?

2. Compare the sampling distribution with the population distribution. Consider how variance may or may not differ between the two.

3. If we reject a null hypothesis of no difference, what are the odds that we made a correct decision?

4. Type I and Type II error. How is alpha related to this? How is the critical region related to type II error? If the null is true, what is the probability of type II error?

5. What values can alpha be and not be? Can alpha be 0? Why?

6. How can we increase the probability that a confidence interval will include the population parameter?How can we increase the width of a confidence interval? How can we decrease the width?

Each value represents the number of mistakes (defects) found on a student loan application. Values for 50 consecutive loan applications are given. Calculate the appropriate centerline and 3-sigma control limits for the c-chart, and then plot the data and create a control chart. Does the process appear to be in a state of statistical control? Why or why not?

Upper control limit (UCL) =

Centerline (CL) =

Lower control limit (LCL) =

Process in statistical control?

Expense Report Auditing

1. Hair Color and Job Title are examples of:

1. continuous variables
2. categorical variables
3. quantitative variables
4. ordinal variables
5. numerical variables
6. discrete variables

none of the above

A basket contains 100 balls.40 are red,45 are orange and 15 are yellow.Three balls will be drawn out one at a time at random with replacement.Match the probabilities.

(a) P(all three draws are red)

(b) P(all three draws are orange)

(c) P(at least one draw is red)

(d) P(at least one draw is orange)

2.Refer to the previous question about the balls in the basket.Instead of drawing out three balls one at a time with repalcement, suppose we selected balls one at a time at random without replacement until all the yellow balls were removed from the basket. Y=the number of draws necessary.What are the possible values of Y.

(a)[15,16,17,18...] (b)[15,1617,18...100] (c)[0,1,2,3...15] (d)[1,2,3,...85]

Here is a bivariate data set.
x   y
59.7   6.1
50.8   22.6
60.7   -1
44.2   28.3
53   13.8
52.5   16.3
45.7   26.4
51.2   30.8
53.7   4.9

Find the correlation coefficient and report it accurate to three decimal places.
r =

What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² =
%
% of the variation in y can be explained by the variation in the values of x.
LicensePoints possible: 1

1.

2.

Explain the following issues using diagram (Graphs)

a) Relationship between f(x) and F(x) for a continuous variable,

b) explaining how a uniform random variable can be used to simulate X via the cumulative distribution function of X, or

c) explaining the effect of transformation on a discrete and/or continuous random variable

Please do not use this as an example: For example, let’s say you had four groups, representing drugs A B C D, with each group composed of 20 people in each group and you’re measuring people’s cholesterol level.

In your own words, describe the difference between Among Group Variation and Within Group Variation. Discuss how you would evaluate the variation and other methods to ensure that the data is appropriate to use for the test. Illustrate using a specific example.

At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 324 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 268 had no visible scars after treatment. Another random sample of n2 = 418 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all negative? both positive and negative? At the 90% level of confidence, does treatment with plasma compresses seem to make a difference in the proportion of patients with visible scars from minor burns? Because the interval contains only negative numbers, we can say that there is a higher proportion of patients with no visible scars among those who did not receive the treatment. Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received the treatment. We can not make any conclusions using this confidence interval. Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of patients with no visible scars among those who received the treatment.

In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 467 eggs in group I boxes, of which a field count showed about 266 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 786 eggs in group II boxes, of which a field count showed about 270 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.) p̂1 = Find a 90% confidence interval for p1. (Round your answers to three decimal places.) lower limit upper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.) p̂2 = Find a 90% confidence interval for p2. (Round your answers to three decimal places.) lower limit upper limit (c) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limit Does the interval indicate that the proportion of eggs hatched from group I nest boxes is higher than, lower than, or equal to the proportion of eggs hatched from group II nest boxes? Because the interval contains both positive and negative numbers, we can not say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. Because the interval contains only positive numbers, we can say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. Because the interval contains only negative numbers, we can say that a higher proportion of eggs hatched in highly visible, closely grouped nesting boxes. We can not make any conclusions using this confidence interval. (d) What conclusions about placement of nest boxes can be drawn? In the article discussed in the Focus Problem, additional concerns are raised about the higher cost of placing and maintaining group I nest box placements. Also at issue is the cost efficiency per successful wood duck hatch. No conclusion can be made. A greater proportion of wood duck eggs hatch if the eggs are laid in well-separated, well-hidden nesting boxes. A greater proportion of wood duck eggs hatch if the eggs are laid in highly visible, closely grouped nesting boxes. The eggs hatch equally well in both conditions.

Your power plant emits nitrous oxides (NOx) into the atmosphere as a byproduct of burning coal. While your scrubbers collect much of the pollutant before it leaves your smokestacks, they cannot get it all. You have an allowance of one hundred pounds of NOx per day. The state environmental commission shows up periodically to test whether you are staying within your allowance. If you are not within your allowance, you will have to purchase more allowance from a plant that is not using all of theirs (a costly proposition). You periodically test your smoke to see how things are going. The numbers in the table represent a test of n = 10 randomly selected days over the past month.

a. Construct a 95% confidence interval for your average daily pounds of pollutants.

b. Should you be worried? Why, why not?  

What are some of the limitations of using Excel for pivot tables/charts? Why does that make software like Tableau more appealing in the workplace?

The following data represent petal lengths (in cm) for independent random samples of two species of Iris. Petal length (in cm) of Iris virginica: x1; n1 = 35 5.1 5.6 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.7 5.1 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.9 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limit upper limit (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? Because the interval contains only positive numbers, we can say that the mean petal length of Iris virginica is longer. Because the interval contains only negative numbers, we can say that the mean petal length of Iris virginica is shorter. Because the interval contains both positive and negative numbers, we cannot say that the mean petal length of Iris virginica is longer. (d) Which distribution did you use? Why? The Student's t-distribution was used because σ1 and σ2 are unknown. The standard normal distribution was used because σ1 and σ2 are known. The standard normal distribution was used because σ1 and σ2 are unknown. The Student's t-distribution was used because σ1 and σ2 are known. Do you need information about the petal length distributions? Explain. Both samples are large, so information about the distributions is needed. Both samples are large, so information about the distributions is not needed. Both samples are small, so information about the distributions is needed. Both samples are small, so information about the distributions is not needed.

any state auto insurance company took a random sample of 360 insurance claims paid out during a one year. The average claim paid was $1,575 assume the name equals $238 find a 0.90 confidence interval for the mean claim round your answers to two decimal places lower limit of the find a 0.99 confidence interval for the mean claim payment round your answers to two decimal places lower limit upper limit