Category: Mathematics Homework Help

In your Week 2 Assignment, you displayed data based on a categorical variable and continuous variable from a specific dataset. In Week 3, you used the same variables as in Week 2 to perform a descriptive analysis of the data. For this Assignment, you will calculate a confidence interval in SPSS for one of the variables from your Week 2 and Week 3 Assignments.

To prepare for this Assignment:

• Review the Learning Resources related to probability,      sampling distributions, and confidence intervals.
• For additional support, review the Skill      Builder: Confidence Intervals and the Skill Builder:      Sampling Distributions, which you can find by navigating back to your      Blackboard Course Home Page. From there, locate the Skill Builder link in      the left navigation pane.
• Using the SPSS software, open the Afrobarometer dataset      or the High School Longitudinal Study dataset (whichever you chose) from      Week 2.
• Choose an appropriate variable from Weeks 2 and 3 and      calculate a confidence interval in SPSS.
• Once you perform your confidence interval, review      Chapter 5 and 11 of the Wagner text to understand how to copy and paste      your output into your Word document.

For this Assignment:

Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES.

Based on the results of your data in this confidence interval Assignment, provide a brief explanation of what the implications for social change might be.

Learning Resources

Required Readings

Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications.

• Chapter 5, “The Normal Distribution” (pp. 151-177)
• Chapter 6, “Sampling and Sampling Distributions” (pp. 179-209)
• Chapter 7, “Estimation” (pp. 211-240)

Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.

• Chapter 3, “Selecting and Sampling Cases”
• Chapter 5, “Charts and Graphs”
• Chapter 11, “Editing Output”

Magnusson, K. (n.d.). Welcome to Kristoffer Magnusson’s blog about R, Statistics, Psychology, Open Science, Data Visualization [blog]. Retrieved from http://rpsychologist.com/index.html

As you review this web blog, select the Interpreting Confidence Intervals – new d3.js visualization link, once you select the link, follow the instructions to view the interactive for confidence intervals. This interactive will help you to visualize and understand confidence intervals.

Note: This is Kristoffer Magnusson’s personal blog and his views may not necessarily reflect the views of Walden University faculty.

Walden University Library. (n.d.). Course Guide and Assignment Help for RSCH 8210. Retrieved from http://academicguides.waldenu.edu/rsch8210

For help with this week’s research, see this Course Guide and related weekly assignment resources.

Optional Resources

Rice University, University of Houston Clear Lake, and Tufts University. (n.d.). Online Statistics Education: An Interactive Multimedia Course of Study. Retrieved from http://onlinestatbook.com/2/estimation/ci_sim.html

Use this website for your practice as you consider confidence intervals and how the width changes. Also, consider why the width might be important.

Skill Builders:

• Confidence Intervals
• Sampling Distributions

To access these Skill Builders, navigate back to your Blackboard Course Home page, and locate “Skill Builders” in the left navigation pane. From there, click on the relevant Skill Builder link for this week.

Aims:

The aims of this coursework are:

 To introduce computer aided software for numerical computations and in particular familiarizing
with the computer aided software, basic commands through the Command window and output
through the Graph window.

Module learning outcomes assessed by this coursework:

On successful completion of this assignment, students will be expected, at threshold level, to be able to:
LO:7 Demonstrate knowledge and ability in simulating engineering and mathematical problems.

I don’t know how to handle this Statistics question and need guidance.

Your group has been selected as a consultant team by a real estate company to perform a statistical analysis of the residential data. This data was collected from publicly available information on recent home sales in your hometown.  These are not a random sample, but they may be representative of home sales during a short period of time, in your hometown. The variables include

• Price in $1,000.
• Living space in ft2.
• Number of bedrooms
• Year property built
• Whether there is a garage or not.
• Location type – rural, urban or suburban

1. The real estate management is interested in the relationship between location and whether there is a garage or not. Use a contingency table (two categorical variables on StatKey) to address the following questions that they have,
   1. What percent of homes are in the suburbs?
   2. What percent of homes have a garage and are in the suburbs?
   3. Of the suburban homes, what percent have garages?
   4. Of the homes with garages, what percent are in the suburbs?
2. They also believe that there are more homes in the suburbs in this community. A census carried out earlier had shown 55% of all the homes in this hometown were suburban homes. Is there evidence that there are more homes in the suburbs now? Conduct the appropriate hypothesis test and state your conclusion at 5% significance level. Also find the 95% confidence interval for the true percent of suburban homes in this hometown. 
3. A competitor company claims that the mean living space of the properties in this area is less than 3000 ft2. Plot a histogram and boxplot of the living space and describe the distribution, being sure to discuss the shape, outliers, center and spread (SOCS). Conduct an appropriate hypothesis test to see if their suspicion is founded,  and state you conclusion at 5% significance level. 
4. The management would like a predictive model to help predict the price of a home. One manager suggests using the living area, while another claims that age is more informative in predicting the price of the house. Which manager is correct? Fit a model that predicts price using the living area and another that uses the year built. Give an interpretation of the slope in each model. Which of the two is the better predictive model? Explain using statistics such as correlation and R2.  They also need your team to predict the price of two homes – (a) a 3000 ft2 home built in 1995 and (b) a 4500 ft2 built in 2013. –                                                                                                                                                                                                                                                                                                                                                    *Statistical Report – this report should show all your working for each of the questions asked. Include all the appropriate tables, graphs or calculations to illustrate how you answered the question.

I’m trying to learn for my Calculus class and I’m stuck. Can you help?

Given the points 2 and 3 on the coordinate line:
Find the distance between them. 

I’m studying for my Applied Mathematics class and don’t understand how to answer this. Can you help me study?

HELLO, I have  linear algebra REsearch 200 words only ( REFERENCES NOT INCLUDED ) 

please go through the instruction carefully  I’m majoring in chemical engineering 

Conduct your own internet research to discover how linear algebra is used in real-world engineering applications. For example, how is linear algebra used in computer science, machine learning, economics, or modeling biological processes, etc.? ( please note my major is chemical engineering so do not select any another major) 

I’m working on a Statistics question and need guidance to help me study.

How do statistics and analytics help businesses make better decisions?
1. Research on the applications of statistics and analytics in different industries, e.g. e-commerce, finance, education, or healthcare. Find a case study that interest you the most, what is the business problem of the case study? How do they collect the data? How do they analyze the data? What statistics and analytics methods do they use? What are the results or findings?
2. How can we use statistics and analytics to make better decisions for business?

Review the slideshow assignment. After reviewing the slideshow, answer the three questions. Remember to type and save your assignment as a Microsoft Word document and show all your work.

Provide as much detail as possible for every step to describe what was done.

You may need to use the appropriate technology to answer this question.

A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.

	Plant 1 Atlanta	Plant 2 Dallas	Plant 3 Seattle
	86	70	58
	74	74	64
	83	74	62
	76	73	68
	72	68	74
	89	91	76
Sample mean	80	75	67
Sample variance	48.4	67.2	49.2
Sample standard deviation	6.96	8.20	7.01

Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments
Error
Total

Test for any significant difference in the mean examination score for the three plants. Use = 0.05.

State the null and alternative hypotheses.

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ₁ = ₂ = ₃
H_a: Not all the population means are equal. H₀: Not all the population means are equal.
H_a: ₁ = ₂ = ₃H₀: ₁ ≠ ₂ ≠ ₃
H_a: ₁ = ₂ = ₃H₀: ₁ = ₂ = ₃
H_a: ₁ ≠ ₂ ≠ ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal. Reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal. You may need to use the appropriate technology to answer this question.

The following data are from a completely randomized design. In the following calculations, use = 0.05.

	Treatment 1	Treatment 2	Treatment 3
	63	83	70
	46	71	55
	54	87	61
	37	67	50
xj	50	77	59
sj2	123.33	90.67	74.00

(a)

Use analysis of variance to test for a significant difference among the means of the three treatments.

State the null and alternative hypotheses.

H₀: Not all the population means are equal.
H_a: ₁ = ₂ = ₃H₀: At least two of the population means are equal.
H_a: At least two of the population means are different. H₀: ₁ = ₂ = ₃
H_a: ₁ ≠ ₂ ≠ ₃H₀: ₁ = ₂ = ₃
H_a: Not all the population means are equal.H₀: ₁ ≠ ₂ ≠ ₃
H_a: ₁ = ₂ = ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

(b)

Use Fisher’s LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for each pair of treatments.

x₁ − x₂

=

x₁ − x₃

=

x₂ − x₃

=

Which treatment means differ significantly? (Select all that apply.)

There is a significant difference between the means for treatments 1 and 2.There is a significant difference between the means for treatments 1 and 3.There is a significant difference between the means for treatments 2 and 3.There are no significant differences.

You may need to use the appropriate technology to answer this question.

The following data are from a completely randomized design. In the following calculations, use = 0.05.

	Treatment 1	Treatment 2	Treatment 3
	63	83	70
	46	71	55
	54	87	61
	37	67	50
xj	50	77	59
sj2	123.33	90.67	74.00

(a)

Use analysis of variance to test for a significant difference among the means of the three treatments.

State the null and alternative hypotheses.

H₀: Not all the population means are equal.
H_a: ₁ = ₂ = ₃H₀: At least two of the population means are equal.
H_a: At least two of the population means are different. H₀: ₁ = ₂ = ₃
H_a: ₁ ≠ ₂ ≠ ₃H₀: ₁ = ₂ = ₃
H_a: Not all the population means are equal.H₀: ₁ ≠ ₂ ≠ ₃
H_a: ₁ = ₂ = ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

(b)

Use Fisher’s LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for each pair of treatments.

x₁ − x₂

=

x₁ − x₃

=

x₂ − x₃

=

Which treatment means differ significantly? (Select all that apply.)

There is a significant difference between the means for treatments 1 and 2.There is a significant difference between the means for treatments 1 and 3.There is a significant difference between the means for treatments 2 and 3. There are no significant differences.

You may need to use the appropriate technology to answer this question.

A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.

	Plant 1 Atlanta	Plant 2 Dallas	Plant 3 Seattle
	86	70	58
	74	74	64
	83	74	62
	76	73	68
	72	68	74
	89	91	76
Sample mean	80	75	67
Sample variance	48.4	67.2	49.2
Sample standard deviation	6.96	8.20	7.01

Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments
Error
Total

Test for any significant difference in the mean examination score for the three plants. Use = 0.05.

State the null and alternative hypotheses.

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ₁ = ₂ = ₃
H_a: Not all the population means are equal. H₀: Not all the population means are equal.
H_a: ₁ = ₂ = ₃H₀: ₁ ≠ ₂ ≠ ₃
H_a: ₁ = ₂ = ₃H₀: ₁ = ₂ = ₃
H_a: ₁ ≠ ₂ ≠ ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal. Reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal.