To demonstrate flavor aversion learning (that it, learning to dislike a flavor that is associated with becoming sick), researchers gave one group of lab rats an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. A control group was not made sick after drinking the flavored water. The next day, both groups were allowed to drink saccharin-flavored water, The amounts consumed (in millimeters) for both groups during this test are given here. Amount consumed by rats that were made sick (n=4). 4, 5, 1, 3. Amount consumed by control rats (n=4) 7, 12 ,8, 11 A) test whether or not the consumption of saccharin-flavored water differed between groups using a .05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis.
B) Compute the effect size using eta-squared ( beta 2 )

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?