QUESTION 7 You hypothesize that drinking water increases test scores so you design a study comparing test scores between people who drink water and people who do not drink water.You collect data on 62 people and find that in your sample there are 27 people who do not drink water and 35 people who drink water. The mean test score for non-water drinkers is 62 with a standard deviation of 13, while the mean score for those who drink water is 75 with 11 standard deviation. What is the total degrees of freedom (df1 + df2)?
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- You wish to evaluate the differences in educational quality between two training centres (A and B). You take a random sample of 98 individuals trained at centre A, and an independent random sample of 41 individuals trained at centre B. The individuals in both samples take the same, standardised test. The mean test score of individuals in sample A is 85.1 and the sample standard deviation is 12.2. The mean test score in sample B is 67.4 and the sample standard deviation is 11.0. Find the lower limit of a 98% confidence interval for the difference between the population means. Form the confidence interval around a positive point estimate for the difference between the means. In order to obtain a positive point estimate, make sure you subtract the lower value from the higher value when calculating the difference between the sample means. (Provide your answer as a number rounded to 2 decimal places.)You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the mean square within samples?Please provide only typed answer solution no handwritten solution needed allowed
- You hypothesize that people in stats classes are happier than people in all other classes. You compare happiness scores in three of your classes: Statistics, Developmental Psychology, and Social Psychology. In Statistics there are 15 students and the mean happiness rating is 23.1 with a standard deviation of 9.78. In Developmental Psychology there are 15 students and the mean happiness rating is 24.4 with a standard deviation of 2.92. In Social Psychology there are 15 students with a mean rating of 17.7 and standard deviation of 8.46. The sum of squares between groups is equal to 384. The sum of squares within groups is equal to 2461. Use the One-Way ANOVA calculation table to help calculate. What is the degrees of freedom between samples?You hypothesize that people in stats classes are happier than people in all other classes. You compare happiness scores in three of your classes: Statistics, Developmental Psychology, and Social Psychology. In Statistics there are 15 students and the mean happiness rating is 23.1 with a standard deviation of 9.78. In Developmental Psychology there are 15 students and the mean happiness rating is 24.4 with a standard deviation of 2.92. In Social Psychology there are 15 students with a mean rating of 17.7 and standard deviation of 8.46. The sum of squares between groups is equal to 384. The sum of squares within groups is equal to 2461. Use the One-Way ANOVA calculation table to help calculate. What is the degrees of freedom within samples?You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. You calculated the f-ratio above. The corresponding p-value for the f-ratio you calculated is p = 0.78. Is this finding significant?
- Lloyd and Tara began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Lloyd took a test in Social Studies and earned a 77.1, and Tara took a test in Math and earned a 66.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 75.5 and a standard deviation of 10.5, and all the students' test grades in Math had a mean of 65.3 and a standard deviation of 8.8 to answer the following questions.a) Calculate the z-score for Lloyd's test grade.�=b) Calculate the z-score for Tara's test grade.�=c) Which person did relatively better? Lloyd Tara They did equally well.A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145, but you have good reason to believe that μ is less than 145. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 139 and that the standard deviation of their scores is 28. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 136. Fill in the blanks to describe a Type II error. A Type II error…
- QUESTION 12 You hypothesize that drinking water increases test scores so you design a study comparing test scores between people who drink water and people who do not drink water.You collect data on 62 people and find that in your sample there are 27 people who do not drink water and 35 people who drink water. The mean test score for non-water drinkers is 62 with a standard deviation of 13, while the mean score for those who drink water is 75 with 11 standard deviation. Above you have calculate the t-statistic and found the critical value of t. Based on this information, is the difference between your two means STATISTICALLY SIGNIFICANT? OYes, because the t-statistic value calculated was less than the critical value of t, indicting that p .05 O Yes, because the t-statistic value calculated was larger than the critical value of t, indicating that p .05One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145 , but you have good reason to believe that μ is less than 145 . You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 140 and that the standard deviation of their scores is 22 . Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 137 . Fill in the blanks to describe…One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ, among the general population on this subsection. The website reports that μ is 140, but you have good reason to believe that μ differs from 140. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 146 and that the standard deviation of their scores is 22. Based on this information, complete the parts below. A. What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: B. Suppose you decide to reject the null hypothesis. Would you be making a type I or type II error?