The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an 800-point scale. A sample of SAT scores for six students follows.

a. Using a  level of significance, do students perform differently on the three portions of the SAT?

Several years ago, 41% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1115 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1115 surveyed, 452 indicated that they were satisfied. Perform an appropriate hypothesis test to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. Use \alpha=0.05α=0.05 level of significance.

1 - Check requirement and state the hypotheses.

2 - Round test statistic to 3 decimals, and p-value to 4 decimals.

3 - State your conclusion in a complete sentence.

1. A survey of 200 students is selected randomly on a large university campus They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 200 students use laptops to take notes in class.
   1. What is the value of the sample proportion? (0.5 pts)
      
   2. What is the standard error of the sampling proportion? (0.5 pts)
      
   3. Construct an approximate 95% confidence interval for the true proportion by going 2 standard errors from the sampling proportion. (1 pt)
      
   4. How would the confidence interval have changed if the confidence level was 90% instead of 95%? (1 pt)
      
   5. How would the confidence interval have changed if the sample size had been 100 instead of 200? (1 pt)
      

Decisions about alpha level may be different, especially as it relates from hard sciences to social sciences. For example, a medical trial for cancer treatments conducts their statistical tests at .0001 - so for every 1 out of 10,000 patients, there may be issues, sickness or even death. For social science, we use alpha .05. We are comfortable with performing research, for example, on students. So we are satisfied with losing 5 out of 100 students or having our results being incorrect 5 out of 100 times. Do you agree with these alpha levels? Why or why not? What if your child's education and the teacher assigned to him/her would be successful 95 out of 100 times?

In order to restructure its entertainment activities, Bear Valley University wanted an estimate of the amount of US dollars spent by all its undergraduate students on entertainment expenses.

To do so, it took a sample of 25 undergraduates. Students in the sample reported spending the following US dollar amounts for entertainment expenses last year:

(Round your answers to 2 decimal places.)

Find the point estimate for the population mean, the point estimate for the population median, and the point estimate for the population mode.

A teacher puts 10,000 lolly pops into a chest weighing 10 pounds and drops it down a well. A group of students are trying to get the lolly pops out the well. A student decided to attach to the chest a 100 ft long chain weighing 10 pounds. Several other students, at the top of the well, start lifting the chest out of the well by pulling on the chain in a hand over hand fashion. As the chest is being lifted, lolly pops fall from an opening in the chest at a constant rate such that the chest will be empty when it reaches the top of the well. Given that an individual lolly Pop weight 0.6 ounces, find the work done in raising the chest to the top of the well. Show integration steps.

The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration.

The estimated regression equation for these data is y= 350 + 1031.3x and MSE = 383594.

Use Table 1 of Appendix B.

a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to 1 decimal).

b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals).

$ (  ,  )

c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals).

$ (  ,  )

Case study: Ian is a CST with several years of experience, working at a large urban hospital. Ian often serves as a preceptor (a CST who trains students during their clinical experience) for surgical Technology students from the local community college. Today, a new student is working with Ian in orthopedic OR. They have just completed positioning the patient when the circulator asks Ian if he will prep the patient's leg while she performs the final check of the video monitors.

                        Questions
1. What role is Ian performing, and are there any restrictions to that role?

2. What are the roles of the various OR team members, and how do they interrelate?

3. What extra responsibilities is Ian assuming by helping to train the student?

Answer the following questions Q1. A student in a large lecture section asked students how much they paid for a used copy of the text. The n = 38 responses yielded

Summation Xi=3230.84 Summation (Xi - Xbar)^2= 2028.35

a A test of the hypothesis that the mean amount students paid for a used copy of the text is different from 82 is being conducted at a 5% significant level. . What is the P-value of the test? (5 points) i. Based on any one of (f) and (g) above, what is your decision for the test? Justify your answer. (4 points) j. Draw your conclusion on the test. (2 points)

I just need help with the bolded sections

can you paraphrase this please!! thank you!

"The students have fixed number of hours in a week to choose between studying and working, it is completely incorrect in saying that whether it is the study that causes work or work causes study. It is generally assumed that students always choose total hours as a mix of studying and working depending on their rational behavior. This would help them maximizing their utility subject to the constraint of limited fixed hours in a week. However, one can later apply the statistical method to measure the relationship between weekly hours spent studying and weekly hours spent working. But yes, one would not be claiming that one variable “causes” the other. It is the matter of interest of each student"