* Make sure you turn in your code (take a screen shot of your code in R)and answers. Conduct the hypothesis
and solve questions by using R.
2) A random sample of 12 graduates of a secretarial school averaged 73.2 words per minute
with a standard deviation of 7.9 words per minute on a typing test. What can we conclude,
at the .05 level, regarding the claim that secretaries at this school average less than 75
words per minute on the typing test? (You may treat the number of words that a secretary
types in one minute as being normally distributed.)

Problem #1 -- Historically, 20% of graduates of the engineering school at a major university have been women. In a recent, randomly selected graduating class of 210 students, 58 were females. Does the sample data present convincing evidence that the proportion of female graduates from the engineering school has shifted (changed)? Use α = 0.05.

A. Explain what it means to make a Type I error and indicate the probability of it occurring, under the assumption the null hypothesis was true.

B. Explain what it means to make a Type II error and suggest a possible value of the parameter in order for such an error to occur.

You are tasked with assessing the health department’s intervention program in preventing recurrence of acute alcohol poisoning. This is a program made available for free to anyone interested, and all teens arrested or admitted to the emergency department (ED) for alcohol related issues are made aware of the program. You cross-reference ED records from the past 5 years with records of program participation and school performance. You will assess performance in school as well as additional alcohol-related issues.

(3 pts.) What is the study design for this effort?

Cross-sectional

Prospective cohort

Retrospective cohort

Prospective interventional

Retrospective case-control

1. Use this scenario to answer the following questions.

Ms. Fitness-Buff, a high school gym teacher, wants to propose an after-school fitness program. To get an idea of the fitness level of the students at her school, she takes a random sample of 75 students and records the number of hours the students exercised in the past week. Her sample mean is 2.25 hours and she knows from past research that the population standard deviation is 2 hours. She wants to know if this varies from a population mean of 3 hours/week.

1. Construct a 95% confidence interval. (2 points)

2. Draw a conclusion for a two-sided test at a = .05. (1 point)

3. Ms. Fitness-Buff is told that if students exercise less than 3 hours per week, she can start an after-school fitness program. Test this one-sided hypothesis and draw a conclusion at a = .05. (2 points)

4. What would the consequences of a Type I error be in the test from part C? (1 point)

5. What's the probability of a Type I error for the test in part C? (1 point)

6. What would the consequences of a Type II error be for the test from part C? (1 point)

7. What is the rejection region for H_o: m = 3 for the test from part C? (1 point)

8. Calculate the probability of making a Type II error if the true population mean is 2.75. (2 points)

1. What's the power of the test if the true population mean is 2.75? (1 point)

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the mean number of pages in these books?

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the median number of pages in these books?

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the mode of the number of pages in these books? If there is one mode, enter the number. If there is more than one, enter them as a comma separated list. If there is no mode, write none.

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the range of the number of pages in these books?

Please, show me your all works. Thanks.

Read this paragraph from a student writer. Then work to:

Re-write the quote and the sentences surrounding it so that the paragraph includes a more successful “quote sandwich.”

In Tough’s point of view, students from low-income family take more time to graduate from a four year college. He said that “rich students graduate from college at much higher rates than low-income students do.” I agreed with his argument, I believe that the rate of graduation between rich student and poor students is high because almost all rich students don't have to work to pay for their college and have less problem on their mind to deal with. For example a lot of low-income student drop off from college due to problems happening in their lives like money and others. they can't handle working a full time job and manage school all at once, and still keep up with the his class mates. I am a full time worker so I know how difficult is to keep up with everything and complete all the school work. I get home tired and the only thing I want to do is sleep but I have to complete my school work so I create I school work time plan to help me keep organized and have all my work done on time.

Please include

Context before the quote, and re-statement and explanation after it

Polly maintain a household in which she lives with her unemployed husband (Nick), stepdaughter (Paige) and her cousin (Maude).Maude was fatalky injured in an automobile accident in May.Before Maude died she had received $5000 Social Security, $ 3500 pension, $ 500 in dog-walking fees and $400 in municipal bond interest.Paige is an accomplished gymnast.She graduated high school last year.Paige has a part time job but spends most of her time training.She currently attends jonior college on a part time basis.Next semester she is going to a 4-year school on a full scholarship.In March, Nick left for part unknown and has not been heard from since.He provides Polly with no financial support.Polly decides to sell her wedding rings.The rings cost $11800.The rings were sold for their approximate value of $ 9000.Polly is a school vice principal.Her salary is 95000.The school system also pays for Polly's health insurance ($12000 premium) and her pension plan ($5000).(Health insurance and qualified retirement plans nontaxable fringe benefits.)1.Can Polly claim Maude as a dependent? Explain your answer.2. Can Polly claim Paige as a dependent?Do you need any additional facts to give your answer?3. What is Polly's income ta filing status?4. What is the amount of Polly's deduction from AGI? 5.What is Polly's income tax for the year before applying any tax credits?Assume that Polly takes the standard deduction.

1. In a large Midwestern university, a random sample of 100 entering freshman in 2009 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened the next year. In 2011, a random sample of 100 entering freshman found that 10 had finished in the bottom third of their high school class. Let p1 be the proportion of admitted freshman who had finished in the bottom third of their high school class in 2009. Let p2 be the proportion of admitted freshman who had finished in the bottom third of their high school class in 2011.

The two sample proportions are 20% and 10% respectively which untested would seem like the proportion finishing in the bottom third of class has decreased. However, comparing the sample proportions does not build any uncertainty into it. This is why we perform an inference procedure.

To explore the suspicion above, conduct a significance test at level 0.05; calculator output is shown. Answer the following questions.

1. Give the test decision: do not reject (reject or do not reject)
2. Evidence ________does not favor_______(favors or does not favor) that college admissions standards for the bottom third of the class have changed from 2009 to 2011.
3. Is this result borderline? In other words, if you changed the decision level to another usual level such as 0.01 or 0.10, would it change the decision you made here? (yes or no)
4. A confidence interval for the true difference in proportions of freshman who had finished in the bottom third of class in years of 2009 and 2011 is (0.018, 0.182). This supports your decision in the significance test because the bounds are _______=_______in sign.

A stadium manager is interested in whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.

Is there an association between a college student’s level of drinking alcohol (classified as none, some, or considerable) and her/his residence situation (classified as living on-campus, off-campus with parents, or off-campus but not with parents)?

A researcher used data from the American Time Use Survey (ATUS) to investigate whether high school math teachers spend more time working per day than high school history teachers.

Is the percentage of all males who watch Walking Dead at COC larger than that of females?

Researchers are trying to determine if the Atkins diet was effective by measuring adult’s BMI before the diet, and then after being on the diet for 3 weeks.

For each of the following research questions match the appropriate statistical inference procedure for investigating the question. Answers may be used more than once.

Bon Air Elementary School has 1000 students. The principal of the school thinks that the average IQ of students at Bon Air is at least 110.

Answers: Chi Square Goodness of Fit (GOF)            Chi-square procedures for two-way tables            ANOVA procedures            Two-sample t-procedures for comparing means            One-sample t-procedures for a mean            Two-sample z-procedures for comparing proportions            One-sample z-procedures for a proportion            Paired-sample t-procedures      

Suppose that Nash Daycare provides two different services: full-time childcare for preschoolers, and after-school care for older children. The director would like to estimate an annual cost per child in each of the daycare programs, ignoring any facility-sustaining costs. She is considering expanding the services and wants to know whether full-time or after-school care is more profitable.

The following activities and annual costs apply to the daycare centre. Salaries and wages are $140,000. Full-time children arrive between 8:00 and 9:00 a.m. Older children arrive about 3:00 p.m. All the children are gone by 6:00 p.m. Employees estimate that they spend about 30% of their time on meal-related activities, 30% supervising naps or recreation, 10% in greeting children or sending them home, and the rest of the time presenting educational experiences to the children. Meals and snacks cost about $19,000. Preschoolers receive 2 snacks and 1 meal per day, and the older children receive 1 snack per day. On average, snacks and meals do not differ in cost. Supplies cost $9,000 for the full-time childcare program and $7,000 for the after-school program.

Currently, 30 children participate in full-time care and 15 children in after-school care. Because Nash Daycare maintains a waiting list for openings in its programs, the number of children in each program remains steady.

Assuming 200 days of daycare for a year, estimate the annual cost per child in each program