Question 1

As of January 2014, 58% of American adults have a Smartphone and on average, spend 34 hours per month using the mobile internet on Smartphone.

A researcher became interested to estimate the unknown average hours students in a given university spend in the mobile internet on Smartphone. The researcher takes a sample of 10 students in the university. The sample data is given below:

Suppose that the population standard deviation of students spending in the mobile internet on Smartphone is 7.89.

The point estimate of population mean μ  is

Group of answer choices

38.6

58

10

35

Question 2

As of January 2014, 58% of American adults have a Smartphone and on average, spend 34 hours per month using the mobile internet on Smartphone.

A researcher became interested to estimate the unknown average hours students in a given university spend in the mobile internet on Smartphone. The researcher takes a sample of 10 students in the university. The sample data is given below:

Suppose that the population standard deviation of students spending in the mobile internet on Smartphone is 7.89.

A 95% CI of the population mean μ  is

Group of answer choices

(34.49, 42.70)

34.51, 44.21

(31.71, 41.49)

(33.71, 43.49)

Question 3

A researcher wishes to find a 95% confidence interval for an unknown population mean μ using a sample of size 30. The population standard deviation is 8.88.

The margin of error for this confidence interval will be

Group of answer choices

3.2

1.6

2.7

0.95

A superintendent of a school district was requested to present to the school board demographic data based on the schools within the district. One item that the superintendent had to present was the percent of students who were eligible for free or reduced price lunch (a commonly used proxy for socio-economic status). The following percents were reported for the 40 schools in the district: 53.7 52.4 73.1 49.6 58.4 54.7 54.7 45.0 74.7 79.4 47.2 52.4 21.4 37.5 76.0 67.3 27.1 84.5 39.9 44.9 27.2 31.1 42.9 44.7 24.1 61.4 43.6 58.9 38.1 58.4 34.6 64.9 55.6 56.5 58.8 41.4 35.6 68.1 34.3 75.5 Questions: 1. What is the value of the sample size for this analysis? 2. What is the mean percent of students receiving free or reduced price lunch for this district? 3. What is the median percent of students receiving free or reduced price lunch for this district? 4. What is the lowest percent of students receiving free or reduced price lunch for this district? 5. What is the highest percent of students receiving free or reduced price lunch for this district? 6. What is the value of the range? 7. What is the value of the standard deviation? 8. What is the value of the skewness statistic? 9. What are the values of the 25th, 50th, and 75th percentiles? 10. Present the results as they might appear in an article. This must include a table and narrative statement that provides a thorough description of the central tendency and distribution of the percent of students receiving free or reduced price lunch for this district. Note: The table must be created using your word processing program. Tables that are

We want to find the proportion of students at Saint Michael's Middle School who carpool or ride the bus to school.  

a. A quick survey of 30 randomly selected students at Saint Michael's found 7 either rode the bus or carpooled to school. What is the point estimate for the population proportion for students at Saint Michael's who carpool or ride the bus to school?  (a) The point estimate = 7/30 = 0.233

b. Would you say that this would be a good estimate of the proportion of students who carpool or ride the bus to school?  

(b) Yes, because this is a random sample.

c. How large a sample needs to be taken to determine the proportion of students who carpool or ride the bus to school within an error of 2% at a 99% level of confidence? (c) n = (2.576/0.02)^2*0.233*(1 - 0.233) = 2968

d. Assuming the student population at Saint Michael's is 8000 students, what is the largest sample size you could use and still consider the subjects independent?  (d) n = 8000*0.05 = 400

e. Is the sample size found in (c) acceptable according to your answer to (d)?  

f. If we insist on a 99% level of confidence and using your point estimate from (a) what margin of error would we expect if we used the largest possible sample size based on the student population at Saint Michael's?  

g. Using your point estimate from (a), what is the largest level of confidence we could use for a 2% margin of error if we used the largest possible sample size based on the student population at Saint Michael's?

Assignment #1: Descriptive Statistics Directions:

Use the Frequencies option in SPSS to answer each of the questions based on the following scenario.

Scenario: A superintendent of a school district was requested to present to the school board demographic data based on the schools within the district.

One item that the superintendent had to present was the percent of students who were eligible for free or reduced-price lunch (a commonly used proxy for socio-economic status).

The following percents were reported for the 38 schools in the district: 73.5 62.2 55.3 64.1 63.2 47.4 48.3 63.8 63.1 50.4 79.4 59.5 66.7 57.7 53.5 60.4 56.2 59.0 60.8 58.6 62.4 61.3 54.5 56.0 45.6 54.1 53.3 61.4 61.2 52.7 61.8 57.5 65.0 49.9 75.1 57.2 59.7 53.0 52.5

Questions:

1. What is the sample size for this analysis?

2. What is the mean percent of students receiving free or reduced-price lunch for this district?

3. What is the median percent of students receiving free or reduced-price lunch for this district?

4. What is the lowest percent of students receiving free or reduced-price lunch for this district?

5. What is the highest percent of students receiving free or reduced-price lunch for this district?

6. What is the value of the range?

7. What is the value of the standard deviation?

8. What is the value of the skewness statistic?

9. What are the values of the 25th, 50th, and 75th percentiles?

10. Present the results in as they might appear in an article.

The narrative statement must provide a thorough description of the central tendency and distribution of the percent of students receiving free or reduced-price lunch for this district.

For the three questions below…..think z scores and the area under the curve.

3. A nursing professor was curious as to whether the students in a very large class she was teaching who turned in their tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 tests was 78. Did the students turning in their tests first score significantly different from the mean? Explain. 8 points

4. Do college students from private schools have higher than average test-taking skills? A researcher administered a standard measure of test-taking skills to a randomly chosen student from a private university and found him to have a score of 68. The average on this measure for the population in general is 60 with a standard deviation of 10. What should you conclude about whether this student from a private university has higher test-taking ability? Explain. 8 points

5. Does computer-assisted instruction help community college health science students with reading difficulties to learn reading skills at a faster than normal rate? A researcher arranged for one of these students to have access to a set of computer-learning programs instead of the normal reading curriculum for one term. At the end of the term, the researcher tested her on a standardized reading ability test on which the mean for students with reading difficulties is 36 with a standard deviation of 6. The test participant scored 55. What would you conclude? Explain. 8 points

Prompt for question 1 part a-c: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.

STATE Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019.

confidence level comes out to be: 96%

the t* critical value is 2.060012.

the margin of error is 5.36.

part a) How would selecting a 90% level of confidence change the size of the calculated confidence interval? . Explain or justify your answer by recalculating, rounded to two decimal places

part b) At a 90% level of confidence, what sample size would be needed to estimate the parameter of interest to within a margin of error of ± 10 minutes? Use σ = 56 minutes.

part c)Suppose that a second random sample of BYU students was conducted in fall 2019. Using this data, the 96% confidence interval was calculated to be (310.92, 317.58). Rounded to two decimal places, what is the margin of error for this confidence interval? Show your work.

Purpose of Assignment

Students examine the long-run determinants of both the level and the growth rate of real GDP per person and the factors that determine the productivity of workers and what governments might do to improve the productivity of their citizens. Students will learn how saving and investment are coordinated by the loanable funds market and will see the effects of taxes and government deficits on saving, investment, the accumulation of capital, and ultimately, the growth rate of output. Students will be introduced to tools that people use when they participate in financial markets. Students will see how people compare different sums of money at different points in time, how they manage risk, and how these concepts combine to help determine the value of a financial asset, such as a share of stock. Students will be introduced to the labor market and how economists measure the performance of the labor market using unemployment statistics. Students will address a number of sources of unemployment and some policies that the government might use to lower certain types of unemployment.

Assignment Steps

Resources: National Bureau of Economic Research

Scenario: The organization's strategic plan calls for an aggressive growth plan, requiring investment in facilities and equipment, growth in productivity, and labor over the next five years. It is your team's task to determine where, outside the United States, your organization should locate its new manufacturing plant.

Write a 1,050-word report recommending an off-shore country and support your choice with the following data:

The factors determining the country's productivity

How the country's policies influence its productivity growth

How the country's financial system is related to key macroeconomic variables

How your organization can reduce the risk they would face in relocating

The current and projected unemployment over the next five years

The faculty at a large university have decided that they will enforce course prerequisites for student class registration.

For the following statements, identify whether they represent an opinion, a fact, or a reasoned argument

1. It won’t work

a. opinion

b. fact

c. reasoned argument

2.The courses at this university are divided into lower-division and upper-division

a. opinion

b. fact

c. reasoned argument

3.The faculty understand more about the content area than students do. Therefore, faculty should guide students in the order in which they take the courses.

a. opinion

b. fact

c. reasoned argument

4.Students should be able to design their own path through the curriculum

a. opinion

b. fact

c. reasoned argument

5.It is a good idea because it will communicate course content expectations clearly to students

a. opinion

b. fact

c. reasoned argument

6.It will mean that students will take too long to finish their degrees

a. opinion

b. fact

c. reasoned argument

7.Grades at another large university increased by 2% when prerequisite courses were enforced

a. opinion

b. fact

c. reasoned argument

8.It will add more administrative burden to faculty because students will petition to take courses out of sequence

a. opinion

b. fact

c. reasoned argument

9.During the pilot phase, the engineering faculty reported that they did not spend any more time than normal on administrative tasks related to course enrollment

a. opinion

b. fact

c. reasoned argument

10.Faculty don’t like spending time on administrative tasks related to course enrollment

a. opinion

b. fact

c. reasoned argument

2. Problem 2 is adapted from the Problem 39 at the end of Chapter 11. Please solve this problem in Excel and submit your Excel spreadsheet. The problem is as follows: The state of Virginia has implemented a Standard of Learning (SOL) test that all public school students must pass before they can graduate from high school. A passing grade is 75. Montgomery County High School administrators want to gauge how well their students might do on the SOL test, but they don't want to take the time to test the whole student population. Instead, they selected 20 students at random and gave them the test. The results are as follows: 83 79 56 93 48 92 37 45 72 71 92 71 66 83 81 80 58 95 67 78 Assume that SOL test scores are normally distributed. a. Compute the mean and standard deviation for these data. b. Determine the probability that a student at the high school will pass the test. c. How many percent of students will receive a score between 75 and 95? d. What score will put a student in the bottom 15% in SOL score among all students who take the test? e. What score will put a student in the top 2% in SOL score among all students who take the test? 3. The average male drinks 2 L of water when active outdoors (with a standard deviation of 0.8L). You are planning a full day nature trip for 100 men and will bring 210 L of water. What is the probability that you will run out? Please solve this problem in Excel and submit your Excel file.

6, With regard to social change, conflict theory assumes:

Group of answer choices

society is always in a natural state of equilibrium.

protests and revolutions are desirable and necessary.

the status quo is generally good for the society.

sudden social change is undesirable.

social inequality has minimal impact on societal outcomes.

7, According to lecture, applying functionalist concepts, pollution created by cars is

Group of answer choices

a manifest function.

a latent function.

a covert function.

a dysfunction.

8, Which of the following is a conflict paradigm's explanation of education, according to Dunn, "The Three Sociological Paradigms/Perspectives"?

Group of answer choices

Cultural transmission passes culture from one generation to the next, and established social values are taught thoroughly.

Schools serve as a screening device to fill positions of unequal status.

Schools create serious difficulties for students who are “labeled” as learning disabled or less academically competent than their peers; these students may never be able to see themselves as good students and move beyond these labels.

Schools play a vital role in shaping the way students see reality and themselves.

9, Which of the following is a symbolic interactionist paradigm's explanation of education, according to Dunn, "The Three Sociological Paradigms/Perspectives"?

Group of answer choices

Schools play a vital role in shaping the way students see reality and themselves.

Schools serve as a screening device to fill positions of unequal status.

Cultural transmission passes culture from one generation to the next, and established social values are taught thoroughly.

Schools routinely provide learning according to students’ social background, thereby perpetuating social inequality