7. A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 72.5. Random sampling of 76 scores obtained from individuals who were bullied yielded a mean of 44.32 and a standard deviation of 22.87. (Use these numbers only for this question!) What is the z-value or t-value you obtained (your test statistic)? (numeric value only, including negative sign if required) 14. A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 68.51. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 81.61 and a standard deviation of 21.92. (Use these numbers only for this question!) Calculate the 99% confidence interval. Steps: As you know, two values will be required to complete the following equation: _________ __________ For this question, what is the value that is above or greater than ? 15. If = 0.15, and = 0.15, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only) The statistical decision is to reject the null, and H0 is really true (i.e., a Type I error) 17. If = 0.01, and = 0.22, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only) The statistical decision is to reject the null, and H0 is really false (i.e., Power) 25. A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 158 ( = 158). The 121 individuals who take Atenolol have an average systolic blood pressure of 139, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!) What is the z-value or t-value you obtained (your test statistic)? (numeric value only, including negative sign if required) 33. The average time scheduled for a doctor's visit is 12 minutes with a standard deviation of 14 minutes. A researcher uses a sampling distribution made up of samples of size 354. (Use these numbers for this question only!) According to the Central Limit Theorem, what is the standard error of the mean? 34. The average time scheduled for a doctor's visit is 45 minutes with a standard deviation of 11 minutes. A researcher uses a sampling distribution made up of samples of size 249. (Use these numbers for this question only!) According to the Central Limit Theorem, what is the mean of the sampling distribution of means