A. Week 5 Post (300+ words):Collect some quantitative data (if your data from week 1 is quantitative, you can use it). Find the sample mean and standard deviation. Plot it in a histogram. Does the data seem to follow the bell curve of the normal distribution? What features of the data do or do not fit in with the shape of the normal curve. How much deviation from the curve is to be expected?Now perform a normality test on your data (Shapiro-Wilk test: http://sdittami.altervista.org/shapirotest/ShapiroTest.html or http://www.brianreedpowers.com/MAT240/stats/descriptiveStats.html)– the test will give you a p-value. The higher the p-value, the more closely your data follows the normal distribution. Based on the test, do you think your data could have been drawn from a normal distribution?B. 1. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 60.0 and the standard deviation is σ = 4.0.Find the probability that X is less than 53.0.2. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 15.2 and the standard deviation is σ = 0.9.Find the probability that X is greater than 15.2.3. Assume that X has a normal distribution, and find the indicated probability.The mean is μ= 15.2 and the standard deviation is σ = 0.9.Find the probability that X is greater than 16.1.4. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 15.2 and the standard deviation is σ = 0.9.Find the probability that X is greater than 17.5. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 15.2 and the standard deviation is σ = 0.9.Find the probability that X is between 14.3 and 16.1.6. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 22.0 and the standard deviation is σ = 2.4.Find the probability that X is between 19.7 and 25.3.7. Assume that X has a normal distribution, and find the indicated probability.The mean is μ = 137.0 and the standard deviation is σ = 5.3.Find the probability that X is between 134.4 and 140.1.8. Find the indicated probability.The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?9. Find the indicated probability.The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?10. Find the indicated probability.The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Learn by Doing In this activity, you will investigate the first question related to the  study described below. Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer. Here are the directions and grading rubric for the Learn by Doing discussion board exercises.  A list of StatCrunch directions is provided at the bottom of this page. Context Clinical depression is a recurrent illness requiring treatment and often hospitalization. Nearly 50% of people who have an episode of major depression will have a recurrence within 2-3 years. Being able to prevent the recurrence of depression in people who are at risk for the disease would go a long way to alleviate the pain and suffering of patients. During the 1980's the federal government, through the National Institutes of Health (NIH), sponsored a large clinical trial to evaluate two drugs for depression. There were 3 treatment groups. Patients received either Imipramine (Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients to one of the 3 treatment groups and followed them for 2-4 years to track any recurrences of depression. (Prien et al., Archives of General Psychiatry, 1984). Variables Hospt: Which hospital the patient was from: Labeled 1, 2, 3, 5 or 6 Treat: 0=Lithium; 1=Imipramine; 2=Placebo Outcome: 0=Success 1=Failure (recurrence of depression) Time: Number of weeks until a recurrence (if outcome=1) or until study ended (if outcome=0) AcuteT: How long the patient was depressed before the start of the current study, measured in days Age: Age in years Gender: 1=Female 2=Male Data If you have not done so already, download the depression datafile (as always, if a login box opens, just close it and then download the file). Then upload the file in StatCrunch.  Prompt We will analyze the data to answer the 1st research question: Which of the drugs (if either) was more successful in preventing the recurrence of depression relative to the placebo? In the previous lab-preparation activity, we determined that we will analyze the data using a two-way table and conditional percentages. Use StatCrunch to produce a two-way contingency table. (directions) Copy the table in your StatCrunch output window and paste it in your initial discussion post. (directions) After you paste the content of the your StatCrunch output window into your discussion post, keep the table titled Contingency table results: and delete the Chi-Square results: table. Analyze the data in your two-way table by finding appropriate conditional percentages. Write each conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g. 25/40 = 62.5%). Then write a sentence that explains the meaning of the percentage in the context of the research question. Draw a conclusion. Based on this study, which drug was the most effective in preventing the recurrence of depression? Support your conclusion using conditional percentages.

1) Which of the following shows the expression below in radical form?A.B.C.D.2) Which of the following shows the expression below in radical form?A.B.C.D.3) Which of the following shows the expression below in exponential form?A.B.C.D.4) Evaluate the expression.A) 6.4B) 33554432C) 2D) 165) Evaluate the expression.A) 3B) 1C) 0D) 96) Simplify the expression.A.B.C.D.7) Simplify the expression.A.B.C.D.8) Simplify the expression.A.  B.  C.  D.