Goal Setting and GPACetin (2015) was interested in individual differences in goal setting behavior and performance in college students. To investigate the hypothesized association between the two variables, Cetin collected goal setting and grade point average (GPA) data from 166 college students. Goal setting was measured with a subscale from the Academic Self-Regulated Learning Scale. Students' GPA was measured via self-report. The goal_setting_gpa.csv data set simulates some of the data so that it corresponds to the results in the original study. We can use it to (a) the null hypothesis that there is no association between self-reported goal setting behavior and self-reported academic performance, and (b) construct a regression equation for predicting GPA from goal setting behavior.Cetin, B. (2015). Academic motivation and self-regulated learning in predicting academic achievement in college. Journal of International Education Research, 11(2), 95-106.(1) Download goal_setting_gpa.csv and open it in Jamovi.(2) Make sure the measure type and data type of the variables are correct.(3) From the Regression menu select Correlation Matrix. (4) In the Analysis panel, move gpa into the Variables box first and then goal_setting. We do it in this order because gpa is the variable we want to predict, which means that on a scatterplot, it should appear on the Y axis.(5) From the Correlation Coefficients menu select Pearson.(6) From the Hypothesis menu select Correlated.This specifies the alternative hypothesis, that the two varoables are correlated.(7) From the Additional Options menu select Report significance and N.(8) From the Plot menu select Correlation Matrix.(9) While still in the Analysis panel, from the Regression menu at the top, select Linear Regression.(10) Move gpa to the Dependent Variable box and move goal-setting to the Covariates box.(11) From the Model Fit menu select R, R2, and RMSE (which is the same thing as standard error of estimate).(12) Save the Jamovi file as Ch14_YourLastName.omv and use it to answer the questions on the worksheet.Instructions for submitting this assignment.(1) Locate Ch14_YourLastName.omv, and Ch14 Homework.docx where you saved them on your computer.(2) Click the title of this assignment (Ch14 Homework) to open the Upload Assignment page.(3) In the ASSIGNMENT SUBMISSION section, attach Ch14_YourLastName.omv and the Ch14 Homework file. Click Submit.(4) If you submit this assignment early enough, I might have time to provide feedback that you can use to improve it and possibly improve your grade. So soon after you submit it, return to this assignment to see if I've given you any feedback. Click the assignment title and on the Review Submission History page you'll see the details of your prior submissions. To revise a prior submission, click Start New, download and revise, be sure to save it, and upload it as previously.

Answer all questions. Please show all necessary workConsider the following probability function P(x) = x / 15 for x =1, 2, 3, 4, or 5.1. Form the probability distribution table.xP(x)2. Graph the probability histogram. 3. Find and .xP(x)X2P(x) 4. Find the mean of the probability distribution. 5. Find the variance of the probability distribution. 6. A carton containing 75 towels is inspected. Each towel is rated “first quality” or “irregular”. After all 100 towels are inspected, the number of irregulars is reported as a random variable. Explain why x is a binomial variableFour cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in the set of 4 cards. 7. If this experiment is completed without replacement, explain why x is not a binomial random variable. 8. Find the mean and standard deviation of x = number of right-handed students in a classroom of 30 students. Assume that 10% of the population is left-handed. 9. The probability of success on a single trial of a binomial experiment is known to be 0.40. The random variable x, number of successes, has a mean value of 80. Find the number of trials involved in this experiment and the standard deviation of x.A doctor knows from experience that 20% of the patients to whom he gives a high blood pressure drug will have undesirable side effects. Assume the doctor gives that drug to ten of his patients. 10. Find the probability that among the ten patients to whom he gives the drug, at most two will have undesirable side effects. 11. Find the probability that among the ten patients to whom he gives the drug, at least three will have undesirable side effects. 12. Find the area under the standard normal curve to the left of z = 1.53. 13. Find the area under the standard normal curve between z = -1.42 and z =1.35. 14. The random variable z is the standard normal score. Find z as shown in the diagram below given that the area of the shaded region is 0.4927.Suppose that daycare costs are normally distributed with a mean equal to $12,000 a year and a standard deviation equal to $3,000. 15. What percentage of daycare centers will cost between $9,000 and $13,000? 16. Find the normal approximation for the binomial probability P(x = 8), where n = 15 and p = 0.3.Consider the set of numbers {4, 8, 10, 12}. 17. Make a list of all possible samples of size 2 that could be drawn with replacement fromthe above set of numbers. 18. Construct the sampling distribution of sample means for the samples in question 17.Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that the standard deviation for the consumption of chicken per person is 9.193 pounds. The mean weight of chicken consumed for a sample of 200 randomly selected people is one value of many that form the sampling distribution of sample means. 19. What is the probability that this sample mean will be between 68 and 82?Assume that the population of heights of male college students is normally distributed with mean μ of 68 inches and standard deviation σ of 3.75 inches. A random sample of 16 heights is obtained. 20. Find the mean and standard error of the distribution.