A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals.  In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12.  Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis. Is it a one-tailed (directional) test or a two-tailed test (nondirectional)?

2. When she was 9 years old, Emily Rosa did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and touching it. Among the 280 trials, therapists were correct 123 times. Do the data provide sufficient evidence to indicate that touch therapists are effective? Test at the 1% level with both the critical value and p-value methods.

In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…

A psychologist interested in animal learning conducts an experiment to determine the effect of adrenocorticotropic hormone (ACTH) on avoidance learning. Twenty 100-day-old male rats are randomly selected from the university vivarium for the experiment. Of the 20 chosen rats, 10 randomly chosen rats receive injections of ACTH 30 minutes before being placed in the avoidance situation. The other 10 rats received placebo injections. The number of trials for each animal to learn the task are listed below. Do NOT assume a normal distribution, and use α=0.05 to answer the questions below: ACTH Placebo 58 74 72 92 80 87 57 84 75 71 73 82 79 76 70 90 66 95 77 85 What inferential test is being conducted? What is the obtained statistic?  What determines the critical value?