A) Hypothesis Testing - Type I and Type II errors: You test the claim that the mean gas mileage of all cars of a certain make is less than 29 miles per gallon (mpg). You perform this test at the 0.10 significance level. What is the probability of a Type I error for this test?

B)Sleep: Assume the general population gets an average of 7 hours of sleep per night. You randomly select 40 college students and survey them on their sleep habits. From this sample, the mean number of hours of sleep is found to be 6.69 hours with a standard deviation of 0.40 hours. You claim that college students get less sleep than the general population. That is, you claim the mean number of hours of sleep for all college students is less than 7 hours. Test this claim at the 0.01 significance level.
What is the test statistic? Round your answer to 2 decimal places. t_x=

What is the critical value of t? Use the answer found in the t-table or round to 3 decimal places.
t_α =

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.410.4 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 500500 .

In answering the questions, use ?z‑scores rounded to two decimal places.

(a) If you choose one student at random, what is the probability that the student's score is between 495495 and 505505 ? Use Table A, or software to calculate your answer.

(Enter your answer rounded to four decimal places.)

probability:

(b) You sample 2525 students. What is the standard deviation of the sampling distribution of their average score ?¯x¯ ? (Enter your answer rounded to two decimal places.)

standard deviation:

(c) What is the probability that the mean score of your sample is between 495495 and 505505 ? (Enter your answer rounded to four decimal places.)

probability:

One-Way ANOVA – CALCULATIONS IN VASSARSTATS.NET

A statistics instructor who does lectures, class activities and assigns homework assignments, wonders if it is necessary for students to complete the entire homework assignment until it is correct for them to learn the material or whether just working on the homework is sufficient (or even needed). She randomly assigns students to one of three groups: a “no homework” group, a “must answer each question” group, and a “must get all questions correct” group (5 students per group). She then examines their next test scores for number of errors and analyzes the data with α = .05.

DATA

The scale of measurement for the independent variable is ___________.

Select from Nominal, Ordinal, Interval, Ratio

The scale of measurement for the Dependent Variable is ___________.

Select from Nominal, Ordinal, Interval, Ratio

Are the results of this study statistically significant? _________

How would you write the results in a writeup? _______________________________

Show how the results are likely to be graphed

Many companies often offer discounts to senior citizens and students. For instance, Beside its regular prime membership, Amazon also offers a discounted membership program to students.

“Amazon Prime Student is a Prime membership program created for college students. As a Prime Student member, you receive a six-month trial that include-es Free Two-Day Shipping on over 50 million items, unlimited streaming of Prime movies and TV shows, unlimited photo storage with Prime Photos, 20% off pre-order and new release video games, exclusive deals and savings, and more! After your six-month trial ends, your Prime Student membership makes you eligible to receive 50% off Amazon Prime, and includes access to all Prime benefits.”

1. Discuss why Amazon create a Prime student membership. What are benefits of such a pricing strategy?
2. Customers who sign -up for Prime Student will be required to verify their student status via a .edu e-email. Discuss why Amazon requires the verification.

Acc105

Chapter 11 - Cost Behavior ( discussion board):

Please provide your thoughts on this simple example of cost behavior and then add an example of your own.

What do you typically pay for a large pizza? (There is no right or wrong price - just pick a reasonable price)
What would be the cost per student if two students buy that pizza?
What if four students buy a large pizza?
What does this illustrate about why average fixed costs change on a per unit basis?

Let's add the fact that a beverage costs $1 and each student eating the pizza has one beverage. So, if two people were eating the pizza, the total beverage bill would come to $2; if four people, $4. The cost per beverage remains the same, but the total cost depends on the number of people ordering a beverage.
What does this tell us about how total variable costs vary per units (or in this case students)?

Please provide another basic example of cost behavior (related to fixed or variable).

As an educator, you have been approached by the manager to assist with the moving of the unit currently on Floor 6 to Floor 4. This move is going to occur during the day and time that you and your learners are scheduled. The manager would appreciate your participation because with you and your learners, there will be sufficient assistance without having to pay significant overtime. While the learners will be moving the patients in their beds, they also will be moving equipment, bedside tables, infusion pumps, etc. to the other floor as well.

Although you, the educator, would like to help, several questions occur in your mind. These include the following.

• Although you want to help, what would be the learning activity objectives?
• What would the students learn from participating in the move?
• How would it be consistent with course outcomes?
• Is it ethical to require students to help?
• Should the faculty member schedule a simulation activity to avoid the situation?
• If you don't help with the move, how will the staff react and respond to future students?

Please debate the pros and cons in providing assistance to the floor during the move as a learning activity.

Question 4 [20 marks] Analyze if the statements that are presented below are True or False. You MUST justify your answer to get credit. Answers without justification (even if they are correct) will be given zero marks.

(a) In any Pareto-optimal allocation of a two-good economy, each consumer has to consume a positive amount of both goods.

(b) A monopolist never produces on the elastic segment of its average revenue curve.

(c) If a firm’s production exhibits increasing returns to scale, then the firm’s marginal costs are decreasing and below its average costs.

(d) Maroon Theater practices third-degree price discrimination and sells tickets to three groups of customers: students, regular customers and senior citizens. The inverse demand of the three groups is linear. Furthermore, the students’ and senior citizens’ elasticities of demand for tickets are −4 and −3, respectively. Because the price charged to regular customers is greater than the price charged to senior citizens, we know with certainty that the ticket price for students will be lower than the ticket price for regular customers.

1. Functional foods are those containing nutritional supplements in addition to natural nutrients. Examples include orange juice with calcium and eggs with omega-3. Researchers examined college students’ attitudes toward functional foods. For American students, the results indicated that females had a more positive attitude toward functional foods and were more likely to purchase them compared to males. In a similar study, a researcher asked students to rate their general attitude toward functional foods on a 7-point scale (higher score is more positive). The results are as follows:

Females                     Males

n = 8                        n = 12

M = 4.69                  M = 4.43

SS = 1.60                  SS = 2.72

1. Do the data indicate a significant difference in attitude for males and females? Use α

= .05. Show all work, including clearly identifying hypothesis testing steps.

2. Compute the percent of variance accounted for by the gender difference to measure effect size.

Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size would appear in a research report

Please I need help with this

Sam Suffolk is a student in MAT103 at SCCC. Sam has data from a random sample of 20 students that represents how many miles​ (rounded to the nearest whole​ mile) each student lives from the SCCC Ammerman campus. Sam organizes this data in the following frequency distribution table. Look at the table carefully and answer the questions that follow.

Sam made two mistakes when creating the classes for this table. Assuming​ Sam's frequencies are​ correct, despite the errors in the class​ limits, answer each of the following.

​Note: The first two lower class limits are correct.

​(a) Identify​ Sam's mistakes.

​(b) Can we determine how many students live 10 miles from the​ campus? If​ so, how​ many? If​ not, why​ not?

​(c) Give an estimate of the number of students in the sample that live more than 25 miles from the campus. If more than one frequency is​ possible, state all possible values.

1. Today’s local newspaper lists 27 stocks “of local interest.” Of these stocks, eleven increased, four decreased and twelve remained unchanged yesterday. If we decide to buy three of the stocks, what is the likelihood that all three increased yesterday?

2. You must select a committee of 6 from 28 students. How many different committees can be formed?

3. A survey of 538 students asked: What is your favorite winter sport? And, what type of college do you attend? The results are summarized below:

Using these 518 students as the sample, a student from this study is randomly selected.

1. What is the probability of selecting a student whose favorite sport is snowboarding and attends a four-year college?

2. If a graduate student is selected, what is the probability that the student prefers skiing?