Work all parts of each of the following problems, showing your work. If you need to use the templates, do so, but be sure to include the template output and interpret it. There is a handout on how to paste Excel output into Word in the classroom, under Handouts, I think.

1. (10 points) Blood cocaine concentration (mg/L) was determined both for a sample of individuals who had died from cocaine-induced excited delirium (ED) and for a sample of those who had died from a cocaine overdose without excited delirium (non-ED); survival time for people in both groups was at most 6 hours. The accompanying data comes from ¡§Fatal Excited Delirium Following Cocaine Use¡¨ (J. of Forensic Sciences, 1997: 25-31).

ED: 0.0, 0.0, 0.0, 0.0, 0.1, 0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.3, 0.3, 0.4, 0.5, 0.7, 0.8, 1.0, 1.5, 2.7, 2.8, 3.5, 4.0, 8.9, 9.2, 11.7, 21.0.

Non-ED: 0.0, 0.0, 0.0, 0.0, 0.0, 0.1, 0.1, 0.1, 0.1, 0.2, 0.2, 0.2, 0.3, 0.3, 0.3, 0.4, 0.5, 0.5, 0.6, 0.8, 0.9, 1.0, 1.2, 1.4, 1.5, 1.7, 2.0, 3.2, 3.5, 4.1, 4.3, 4.8, 5.0, 5.6, 5.9, 6.0, 6.4, 7.9, 8.3, 8.7, 9.1, 9.6, 9.9, 11.0, 11.5, 12.2, 12.7, 14.0, 16.6, 17.8.

a. Construct a stem-and-leaf display for each data set.
b. Construct a box plot for each data set.
c. Compare the two displays with the two box plots, and draw conclusions about the data.

2. (10 points) A manufacturer of VCR¡¦s purchases a particular microchip, called the LS-24, from three suppliers: Hall Electronics, Schuller Sales, and Crawford Components. Thirty percent of the LS-24 chips are purchased from Hall Electronics, 20 percent from Schuller Sales, and the remaining 50 percent from Crawford Components. The manufacturer has extensive histories on the three suppliers and knows that 3 percent of the LS-24 chips from Hall Electronics are defective, 5 percent of chips from Schuller Sales are defective, and 4 percent of the chips purchased from Crawford Components are defective. When the LS-24 chips arrive at the manufacturer, they are placed directly in a bin and not inspected or otherwise identified by supplier. A worker selects a chip for installation in a VCR and finds it defective. What is the probability that it was manufactured by Schuller Sales?

3. (10 points) Five percent of the worm gears produced by an automatic, high-speed Carter-Bell milling machine are defective.

a. Among ten randomly selected worm gears, how likely is it that only one is defective?
b. Among ten randomly selected worm gears, what is the probability that at least two are defective?
c. If the worm gears are examined one by one, what is the probability that at most five must be selected to find four that are not defective?

4. (10 points) The amounts of money requested on home loan applications at Easy Federal Savings and Loan Association follow a normal distribution, with a mean of $320,611.00, and a standard deviation of $84,321.00. A loan application is received this morning. What is the probability:

a. The amount requested is $400,000.00 or more?
b. The amount requested is between $300,000.00 and $350,500.00?
c.How would you characterize the symmetric range consisting of 90% of the mortgages.?

5. (10 points): An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225.
a. What is the probability that the sample mean will fall within $800 of the population mean?
b. What is the probability that the sample mean will exceed the population mean by more than $600.

6. (10 points) The article ¡§Reliability of Domestic Waste Biofilm Reactors¡¨ (J. of Envir. Engr., 1995: 785-790) suggests that substrate concentration (mg/cm^3) of influent to a reactor is normally distributed with ƒÝ = 0.30 and ƒã = 0.06.

d. What is the probability that the concentration exceeds 0.40?
e. What is the probability that the concentration is at most 0.25?
f. How would you characterize the largest 10% of all concentration levels?

We do not do your work for you. Once you have answered your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?

help me with this question

a course has two quizzes of equal weight,a midterm exam that has twice the weight of a quiz, and a final exam that has twice the weight of the midterm exam . if the student obtains 50% and 60% on the quizzes;55% on the midterm, and 80% on the final, what will be the students weighted mean final grade?

To answer these questions and solve the problems, we will need to use statistical techniques and calculations.

1. For the first problem, we are given data for two groups, ED and non-ED. We need to construct a stem-and-leaf display and a box plot for each data set and compare the displays and box plots to draw conclusions about the data.

To construct a stem-and-leaf display, we can arrange the data in ascending order and separate each value into a stem and leaf. The stem represents the tens digit and the leaf represents the ones digit.

For example, for the ED group:
0 | 0 0 0 0
0.1 | 0 0 0 0
0.2 | 0 0
0.3 | 0 0 0
0.4 | 0
0.5 | 0
0.7 |
0.8 |
1.0 |
1.5 |
2.7 |
2.8 |
3.5 |
4.0 |
8.9 |
9.2 |
11.7 |
21.0 |

Similarly, we can construct the stem-and-leaf display for the non-ED group.

To construct a box plot, we need to find the minimum, first quartile, median, third quartile, and maximum values for each data set. We can then plot these values on a number line and draw a box connecting the first and third quartiles, with a line inside representing the median. Whiskers are drawn from the box to the minimum and maximum values.

By comparing the displays and box plots, we can observe the distribution, spread, and outliers in the data sets and draw conclusions about the data.

2. For the second problem, we need to calculate the probability that a defective chip was manufactured by Schuller Sales given that a defective chip was selected. To do this, we can use Bayes' theorem. We know the probabilities of selecting a chip from each supplier and the probabilities of chips being defective from each supplier. By applying Bayes' theorem, we can calculate the desired probability.

3. For the third problem, we are given the probability of defects in worm gears produced by a milling machine. We need to calculate the probability of certain events happening, such as the probability of only one defective gear among ten selected, the probability of at least two defective gears among ten selected, and the probability of selecting at most five gears to find four non-defective gears. These probabilities can be calculated using the binomial probability formula.

4. For the fourth problem, we are given the mean and standard deviation of the amounts of money requested on home loan applications. We need to calculate the probability of certain amounts being requested, such as the probability of an amount being $400,000 or more, the probability of an amount being between $300,000 and $350,500, and the characterization of the symmetric range consisting of 90% of the mortgages. These probabilities can be calculated using the normal distribution and z-scores.

5. For the fifth problem, we are given the population standard deviation, sample size, and we need to calculate probabilities related to the sample mean. We need to calculate the probability that the sample mean falls within a certain range around the population mean and the probability that the sample mean exceeds the population mean by a certain amount. These probabilities can be calculated using the normal distribution and the formulas for the standard deviation of the sample mean.

6. For the sixth problem, we are given the mean and standard deviation of substrate concentration. We need to calculate the probability of certain concentration levels, such as the probability that the concentration exceeds a certain value, the probability that the concentration is at most a certain value, and the characterization of the largest 10% of all concentration levels. These probabilities can be calculated using the normal distribution and z-scores.