Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10.

a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses.

b) Compute the test statistic and p-value for this test.

c) Reach your conclusion at the 0.05 significance level. Be sure to interpret in the context of the problem.

d) In a separate test, the Eastwood teacher finds evidence that Eastwood students performed better than Southwood students. Would this prove that the Eastwood teacher was more effective than the Southwood teacher? Explain briefly

In Assignment 2 you considered the following setting: Near-sightedness (myopia) afflicts roughly 10% of children at age 5.

Assume that the school has a total of 600 students.

Part A. In this school, what is the expected number of students to have myopia? What is the variance?

Part B. If we assume that the students in the school form an independent and random sample, then approximate the probability that at most 60 of the students in the 600 student school have myopia.

When calculating the approximate probability, please be sure to justify the approximation (i.e. check any conditions) and show all your work in the calculation.

Part C. If we assume that the students in the school form an independent and random sample, then what is the approximate probability that at least 55 and less than 65 of the students in the 600 student school have myopia? Again, show all necessary work in this calculation.

Because of the coronavirus pandemic, more people are trying to order food with food delivery apps. In a random sample of 100 college students, 55% claimed they had the experience of using UberEats to order foods. In another random sample of 120 high school students, 47 out of 120 students claimed they had the experience of using UberEats. Is there sufficient evidence to indicate that the rate of having the experience of using UberEats among college and high school students are different are the .10 significance level.

1.) Set up the null and alternative hypothesis

2.) Construct a confidence interval for the difference in the proportion of college students who have had the experience of UberEats versus high school students. Will you reject the null hypothesis?

3.) Determine the critical value at the .1 significance level, make a conclusion for the hypothesis test.

4.) What will the margin of error equal for the 95% confidence interval?

Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10.
(a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses.

(b) Compute the test statistic and p-value for this test.

(c) Reach your conclusion at the 0.05 significance level. Be sure to interpret in the context of the problem.

(d) In a separate test, the Eastwood teacher finds evidence that Eastwood students performed better than Southwood students. Would this prove that the Eastwood teacher was more effective than the Southwood teacher? Explain briefly.

A study of 50 randomly selected students from a particular college who did not go to the campus Learning Center for statistics tutoring had a mean overall grade (at the end of the semester) of 68.41% with a standard deviation of 9.60%. The same study also found that 48 randomly selected students who did take advantage of the tutoring at the campus Learning Center had a mean overall grade of 79.25% with a standard deviation of 8.71%. The standard deviation for both populations (students who did not use the Learning Center’s tutoring, and those students who did use it) is assumed to be equal. Construct a 99% confidence interval for the difference of the mean overall grade of students who did not use the Learning Center minus the mean overall grade of students who did use it.

a. (-15.70%, -5.997%)

b. (-15.71%, -5.968%)

c. (-15.23%, -6.454%)

d. (-15.61%, -6.071%)

Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10.

(a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses.

(b) Compute the test statistic and p-value for this test.

(c) Reach your conclusion at the 0.05 significance level. Be sure to interpret in the context of the problem

(d) In a separate test, the Eastwood teacher finds evidence that Eastwood students performed better than Southwood students. Would this prove that the Eastwood teacher was more effective than the Southwood teacher? Explain briefly.

While discussing the increased use of technology to gather, store, and access healthcare information, senior nursing students discuss the importance of preventing data security breaches and the implication of such breaches on nurses professionally. The class is divided into groups to research and prepare information on various relevant topics to present to the entire class.

1. A group is assigned to create a summary of information related to the ethical aspects of electronic data collection to the profession of nursing. What information will be included?
2. A group of students is assigned to research information regarding a healthcare organizational risk assessment. What will that group focus upon?

A nursing administrator is introducing nursing students to the facility’s client classification system process. The students in a clinical group are asked to create a mock simulation to describe the basic principles and how the process is implemented.

1. What are the basic principles that the students will include in this simulation?
2. The students will identify which core objectives and what nursing administration roles?

A university financial aid office polled a random sample of 746 male undergraduate students and 828 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 501 of the male students and 502 of the female students said that they had worked during the previous summer. Give a 95% confidence interval for the difference between the proportions of male and female students who were employed during the summer.

Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 2 of 3: Construct the 90% confidence interval. Round your answers to three decimal places. Find the margin of error. Round your answer to six decimal places.

Step 3 of 3:Construct the 90%confidence interval. Round your answers to three decimal places.

According to the National Sleep Foundation, an adult between the ages of 18 and 25 should be getting between 7 and 9 hours of sleep per night. Since college students are so busy with studying and other responsibilities, it seems likely they are not getting the recommended hours of sleep.  I would like to see what is true for the GVSU student body.

Is there sufficient evidence to suggest that GVSU students get less than the recommended 7 hours of sleep on average per night?

Select the correct parameter definition.

A) µ = MEAN hours of sleep per night for GVSU students

B) µ = MEAN hours of sleep per night for GVSU students is less than 7 hours

C) µ = MEAN hours of sleep per night for 2264 GVSU students

D) = MEAN for GVSU students who sleep 7 hours a night

An MCAT is an exam that university students take if they are interested in applying to med school. A professor at the University of Guelph quotes the following: "Because only a minority of university students actually take the MCAT, the scores overestimate the ability of a typical university student. The mean MCAT score is about 508, but I think that if all students took the test, the mean score would be no more than 450". This professor gave the test to a random sample of 500 students in Ontario, and found that these students had a mean score of x = 461.

a) Is this good evidence against the claim that the mean for all students is no more than 450? For the purpose of this example, let us assume that the population standard deviation σ of MCAT scores in our Ontario population is 100.

b) would this statistically significant result be practically significant?

b) Would this statistically significant result be significant in a practical sense?