2a. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6-months. The mean number of cavities at their next checkup is 1.5. In the general population, the mean number of cavities at a 6-month check-up is 1.73 (0=1.12)Is this a one or two-tailed test?What are the H0 and Ha for this study?Compute Zobt-What is Zev?4a. Henry preformed a two-tailed test for an experiment in which N-24. He could not find his table of t critical values, but he remembered the tcv at df=13. He decided to compare his tobtwith this tcv. Is he more likely to make a Type I or a Type II error in this situation?6a. A researcher hypothesis that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, u=58. A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52,59,63,65,58,55,62,63,53,59,57,61,60,59.Is this a one or two-tailed test?What are the Ho and Ha for this study?Compute t-obt-What is tcv?Should Ho be rejected? What should the researcher conclude?Determine the 95% confidence interval for the population mean, based on the sample mean.8a. A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers random sample of the 20 individuals who live in California and finds that the number who exercise regularly is 31 out of 120.What is the obt?What is the df for this test?What is the cv?What conclusion should be drawn from these results?The researcher in exercise 2 decides to conduct the same study using a within-participants design to control for differences in cognitive ability. He selects a random sample of subjects and has them study different material of equal difficulty in both the music and no music conditions. The study is completely counterbalanced to control for order effects. The data appear next. As before, they are measured on an interval-ratio scale and are normally distributed; he believes that studying under quiet conditions will lead to better performance.MUSIC  NO MUSIC7  76  85  76  78  98  8What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?If significant, compute and interpret the effect size.If significant, draw a graph representing the data.Determine 95% confidence interval.Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores. They randomly assign subjects to either the green or the red sauce condition. Participants indicate the tastiness of the sauce on a 10-point scale. Tastiness scores tend to be skewed. The scores are as follows.Red Sauce  Green Sauce7  46  59  610  86  77  68  9What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?You notice in your introductory psychology class that women tend to sit up front, and more men sit in the back. To determine whether this difference is significant, you collect data on the seating preferences for the students in your class. The data follow.  Men  WomenFront of the Room  15    27Back of the Room  32    19What is the obt?What is the dffor this test?What is the cv?What conclusion should be drawn from these results?What are degrees of freedom? How are the calculated?What do inferential statistics allow you to infer?What is the General Linear Model (GLM)? Why does it matter?Compare and contrast parametric and nonparametric statistics. Why and in what types of cases would you use one over the other?Why is it important to pay attention to the assumptions of the statistical test? What are your options if your dependent variable scores are not normally distributed?

EXPERIENCE 4 ASSIGNMENT Creating a discrete probability distribution: A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a social media company, has a 20% chance of returning $7,000,000 profit, a 30% chance of returning no profit, and a 50% chance of losing the million dollars. The second company, an advertising firm has a 10% chance of returning $3,000,000 profit, a 60% chance of returning a $2,000,000 profit, and a 30% chance of losing the million dollars. The third company, a chemical company has a 40% chance of returning $3,000,000 profit, a 50% chance of no profit, and a 10% chance of losing the million dollars. a. Construct a Probability Distribution for each investment. This should be 3 separate tables (See the instructors video for how this is done) In your table the X column is the net amount of profit/loss for the venture capitalist and the P(X) column uses the decimal form of the likelihoods given above. b. Find the expected value for each investment. c. Which investment has the highest expected return? d. Which is the safest investment and why? e. Which is the riskiest investment and why? When you are finished with your Assignment, upload the completed file below. You can create a spreadsheet with all of the above and submit it or create a document or write it up by hand and scan it.Suppose you work for a company that manufactures electronics. The development analysts estimate that 1% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1500. A newly hired associate at the company proposes to charge $ 6 for a 2-year warranty. a. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. E=E= b. Interpret the expected value in complete sentences. (See Example 4.3 in the textbook for an example of this) c. Write your review of the proposal and address it to VP of marketing and promotions. Include the following in your essay: Would the proposal benefit the company? Why or why not? Include the new proposed cost, new expected value, interpretation of the new expected value, and explanation of how the new cost was chosen. Question 1Choose FileNo file chosen PRACTICE E4 A group of people were asked if they had run a red light in the last year. 458 responded "yes", and 423 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal to 4 decimal places A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX?Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. The amount of rain, in inches, that will fall next Friday in Dallas, TX. The major of a randomly drawn student from Arizona State University. The number of books purchased next year by your local library. i onlyii onlyiii onlyi and iiiii and iiii, ii, and iii xx P(x)P(x) 1 0.5558 2 0.034 3 0.121 4 0.3384 5 0.0378 yesno xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 6 Mexican-Americans among 12 jurors. Round your answer to four decimal places. P(x=6)=P(x=6)= Find the probability of 6 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places. P(x≤6)=P(x≤6)= Does 6 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? noyes Probability Scores 0.1 2 0.5 8 0.25 9 0.05 11 0.1 13 Find the expected value of the above random variable.