(06.06 MC)  Eighteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. Which of the following conclusions is appropriate? (3 points)

Your best advice to parents of a ten-year old who lied about where he went after school is:

(06.01 MC)  A researcher reported the results from a particular experiment to the scientist who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.18. Based on this p-value, what should the scientist conclude? (3 points)

The amount of time spent in a rest interval makes no difference when lifting with regards to the outcome.  

(05.01 LC)  A study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter. (4 points)

(05.04 MC)  Two opposing opinions were shown to a random sample of 1,744 US buyers of a particular political news app. The opinions, shown in a random order to each buyer, were as follows:Opinion A: Prescription drug regulation is more important than border security.Opinion B: Border security is more important than prescription drug regulation. Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of “Neutral.”The outcomes were as follows:30% chose Opinion A, 64% chose Opinion B, and 6% chose “Neutral.”Part A: Create and interpret a 95% confidence interval for the proportion of all US buyers who would have chosen Opinion A. (5 points)Part B: The number of buyers that chose Opinion A and the number of buyers that did not choose Opinion A are both greater than 10. Why must this inference condition be met? (5 points) (10 points)

(05.04 MC)  A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having more public parks in that county. A random sample of Birch County residents was selected. All the selected residents were asked, “Are you in favor of having more public parks in your county?” A 98% confidence interval for the proportion of residents in favor of having more public parks in that county was calculated to be 0.54 ± 0.03. Which of the following statements is correct? (4 points)

Ms. Taft has brought her three-year-old son Michael to clinic today for a well child exam and there are no stated concerns at first asking. History reveals that Michael’s parents have recently divorced. Michael and his mom have relocated to your community for her job, and they live alone in a small, two-bedroom house built in 2003. Dad is about 50 miles away, but he intends to stay involved. Additional information indicates that Michael is a very picky eater and prefers beverages (milk, juice, and water), he’s currently sleeping with mom (which mom is not happy about), and he’s showing absolutely no interest in toilet training (which Mom is also not happy about). Past medical history and family medical history are noncontributory. Review of systems and physical exam suggest no medical concerns. Developmental screening is within normal limits using the Ages & Stages Questionnaire. Immunizations are up-to-date.                                                                                                                                                                                                                          Obviously, there is much additional information that would be helpful, but write an assessment that reflects your basic thoughts identifying all issues that ideally need to be addressed. Include routine health supervision as well as any additional issues you wish to address. Then, create a succinct, but detailed, plan to accompany your assessment, be sure to include rationale.   Assessment:   1.   2.   3.   4.   5.   Plan: Rationale: Considering all you’ve learned about well childcare and psychosocial issues, prepare a rationale so that you reflect knowledge of why you have decided on your plan of action. Number your rationale to correspond to your plan.

(04.02 MC)  A coin is weighted so that the probability of heads is 0.8. The coin is tossed 20 times, and the number of heads is recorded. This procedure is repeated 75 times with the number of heads being noted each time. What kind of distribution is simulated? (4 points)

(05.02 MC)  A nail fabrication machine makes nails with a target length of μ = 2.35 inches. The machine has some variability, so the standard deviation of the length is σ = 0.2 inch. The machine operator inspects a random sample of 10 nails each hour for quality control purposes and records the sample mean diameter, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)