Frequency table, chart, and descriptives table

 

You are now going to create and post a frequency table, chart, and descriptives table (central tendency/dispersion) of each of your variables. Must use SDSS and GSS2018 data set

IV: Trouble sleeping in the last 12 months SLPPRBLM
DV: State of mental health over the last 30 days MNTLHLTH

Complete the following steps:

Post a brief explanation of your topic. Include your research question and for each variable – the name, survey question or description, answer categories (yes/no, strongly agree, disagree, etc.), and level of measurement (nominal, ordinal, or interval/ratio)
Include a frequency table for each of your variables. Explain your outputs in no more than 5 sentences for each variable. Cite numbers in the outputs to support your conclusion. When you cite %, use the % reported in the “valid percent” column.
Create a chart for each variable, which is a graphic representation of your data. The type of chart (pie, bar, or histogram) is based on a variable’s level of measurement. Explain your outputs for each variable. It is OK if your explanation is similar to (but not the same as) the frequency table interpretation since a chart is a different data presentation on the SAME variable. Cite numbers in the outputs to support your conclusion.
Describe the measures of central tendency (mean, median, mode) and dispersion (variance, standard deviation) for each of your variables. Based on what you have learned in the readings and lessons this week, identify the best measures for each variable and explain what they tell us. What do these measures summarize for us about the variable’s data?

 

z-Scores: Location of Scores and Standardized Distributions

 

Chapter 5, “z-Scores: Location of Scores and Standardized Distributions” (pp. 131–158)
Use the Normal Calculator to calculate the areas of the normal distribution. To do this, use the normal calculator to find the proportion of a normal distribution with a mean of 80 and a standard deviation of 14 that is above 90 Then, using the same mean and standard deviation, find the area that is between 100 and 110.
Review how to use the Inverse Normal Calculator in the Learning Resources.
To do this, use the inverse normal calculator to find the score corresponding to the 25th percentile of a normal distribution with a mean of 100 and a standard deviation of 15 and find the area.
Assignment is here:
1.An explanation of what a normal distribution means, including its shape and features.
2. Explain what it means when the normal distribution has a mean of 80 and a standard deviation of 14 that is above 90. Explain how this changes when the area is between 100 and 110.
3. Explain what it means when a score is in the 25th percentile of a normal distribution with a mean of 100 and a standard deviation of 15.

 

Descriptive statistics

Choose an article from the newspaper, an online source, or a magazine, then identify the descriptive statistics included in the article. Were the statisitcs appropriately described in the article? Explain. Discuss if the descriptive statistics used in your source supported the arguments made in it. Were the descriptive statistics misleading? Explain.

Statistics

The following problems must be completed by hand except where noted.  You are highly encouraged to verify your results in Excel.  However, an Excel spreadsheet will not be submitted and all work must be shown on paper.  Final submission is in the form of a pdf document.
Problem 1
A technician at a steel mill records the results of a tension coupon test on three different random steel plates per day over a period of 5 days.  The yield strength in megapascals is a measure of the largest stress the material can support before permanent deformation occurs.
Day Yield Strength (MPa)
1 350 367 345
2 339 329 360
3 343 353 359
4 325 380 346
5 351 359 341
Assume that each measurement is xi and the total number of measurements in the sample is n.  You may not use Excel to complete your calculations.
a) Calculate the Yield Strength sum as ∑𝑥!.
b) Determine the mean Yield Strength.
c) Calculate the sum ∑𝑥!” for the sample.
d) Determine the standard deviation of the sample.
e) Group the data into approximately equal bins and construct a frequency distribution table.  The Yield Strength bins should be <335, 336-345, 346-355, 356-365, 366-375 and >375.
f) Draw a histogram of the distribution.  You may present this chart using Excel output.
Problem 2
Strain gauges were mounted on a structure and recorded the strain (e) versus stress (s) as load was applied to the structure.  Two different locations were recorded.
  Location 1 Location 2
Strain 𝜖 Stress 𝜎 (Mpa) Stress 𝜎 (Mpa)
0 90 208
0.0001 132 229
0.0002 154 244
0.0003 180 224
0.0004 206 247
0.0005 221 282
0.0006 231 330
0.0007 273 312
0.0008 250 311
0.0009 305 364
We are interested in obtaining the linear relationship between the strain (e) and stress (s).  For Location 1, analysis showed the material stress s followed the relationship
𝜎=214000𝜖+108
This relationship shows there is a residual stress 𝜎#$ of 108 MPa already existing on the structure, when the applied strain e is zero.  The material modulus of elasticity, E, is 214 000 MPa.
You are expected to develop a similar relationship for Location 2.  You should consider strain as the independent variable X, and stress as the dependent variable Y.
a) Calculate ∑𝑋!.
b) Calculate ∑𝑌!.
c) Calculate ∑𝑋!𝑋!.
d) Calculate ∑𝑌!𝑌!.
e) Calculate ∑𝑋!𝑌!.
f) Using the least squares approach, calculate the slope m and y-intercept b for the straight line which best fits the data for Location 2.  You may NOT use Excel.
g) Calculate the coefficient of correlation, r, for the line found in step f.  You may NOT use Excel.

Statistics

The following problems must be completed by hand except where noted.  You are highly encouraged to verify your results in Excel.  However, an Excel spreadsheet will not be submitted and all work must be shown on paper.  Final submission is in the form of a pdf document.
Problem 1
A technician at a steel mill records the results of a tension coupon test on three different random steel plates per day over a period of 5 days.  The yield strength in megapascals is a measure of the largest stress the material can support before permanent deformation occurs.
Day Yield Strength (MPa)
1 350 367 345
2 339 329 360
3 343 353 359
4 325 380 346
5 351 359 341
Assume that each measurement is xi and the total number of measurements in the sample is n.  You may not use Excel to complete your calculations.
a) Calculate the Yield Strength sum as ∑𝑥!.
b) Determine the mean Yield Strength.
c) Calculate the sum ∑𝑥!” for the sample.
d) Determine the standard deviation of the sample.
e) Group the data into approximately equal bins and construct a frequency distribution table.  The Yield Strength bins should be <335, 336-345, 346-355, 356-365, 366-375 and >375.
f) Draw a histogram of the distribution.  You may present this chart using Excel output.
Problem 2
Strain gauges were mounted on a structure and recorded the strain (e) versus stress (s) as load was applied to the structure.  Two different locations were recorded.
  Location 1 Location 2
Strain 𝜖 Stress 𝜎 (Mpa) Stress 𝜎 (Mpa)
0 90 208
0.0001 132 229
0.0002 154 244
0.0003 180 224
0.0004 206 247
0.0005 221 282
0.0006 231 330
0.0007 273 312
0.0008 250 311
0.0009 305 364
We are interested in obtaining the linear relationship between the strain (e) and stress (s).  For Location 1, analysis showed the material stress s followed the relationship
𝜎=214000𝜖+108
This relationship shows there is a residual stress 𝜎#$ of 108 MPa already existing on the structure, when the applied strain e is zero.  The material modulus of elasticity, E, is 214 000 MPa.
You are expected to develop a similar relationship for Location 2.  You should consider strain as the independent variable X, and stress as the dependent variable Y.
a) Calculate ∑𝑋!.
b) Calculate ∑𝑌!.
c) Calculate ∑𝑋!𝑋!.
d) Calculate ∑𝑌!𝑌!.
e) Calculate ∑𝑋!𝑌!.
f) Using the least squares approach, calculate the slope m and y-intercept b for the straight line which best fits the data for Location 2.  You may NOT use Excel.
g) Calculate the coefficient of correlation, r, for the line found in step f.  You may NOT use Excel.

Discrete probabilities and continuous probabilities

Address the definitions as well as compare & contrast the two concepts (discrete probabilities and continuous probabilities) using relevant graphics, diagrams, and short explanations within your infographic.
Video helps to create infographic
Discrete Probability Distributions
https://www.youtube.com/watch?v=m9U4UelWLFs
Continuous Probability Distributions – Basic Introduction
https://www.youtube.com/watch?v=QxqxdQ_g2uw

Descriptive statistics

Choose an article from the newspaper, an online source, or a magazine, then identify the descriptive statistics included in the article. Were the statisitcs appropriately described in the article? Explain. Discuss if the descriptive statistics used in your source supported the arguments made in it. Were the descriptive statistics misleading? Explain.

Statistical methods to support actionable business decisions

As a sales manager, you will use statistical methods to support actionable business decisions for Pastas R Us, Inc., a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. In simpler terms, you are reviewing available information to determine if what your company is doing works. In this assessment, you use predictive and qualitative analysis skills to create a report for the executive team from available Pastas R Us, Inc. data about the effectiveness of the current expansion criteria, loyalty card program, and marketing position.

Scenario
Since its inception, the Pastas R Us business development team has favored opening new restaurants in areas that satisfy the following demographic conditions within a 3-mile radius:
• Median age is between 25–45 years old.
• Household median income is above the national average.
• At least 15% of the adult population is college educated.

Last year, the marketing department rolled out a loyalty card strategy to increase sales. Under this program, customers present their loyalty card when paying for their orders and receive some free food after making 10 purchases.

The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., loyalty card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1,200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.

Preparation
Analyze the Pastas R Us charts file for your report, including the scatter plots and regression equations for the following pairs of variables:
• “Sales/Sq.Ft. ($)” versus “Bach. Degrees (%)”
• “Median Income ($)” versus “Sales/Sq.Ft. ($)”
• “Median Age (Years)” versus “Sales/Sq.Ft. ($)”
• “Loyalty Card (%)” versus “Sales Growth (%)”

Assessment Deliverable
Write a 700- to 1,050-word predictive and qualitative analysis report of Pastas R Us, Inc. that includes the following sections: scope and descriptive statistics, analysis, and recommendations and implementation.

Section 1: Scope and descriptive statistics
• State the report’s objective.
• Discuss the nature of the current data. What variables were analyzed?
• Summarize your descriptive statistical findings from Week 1.

Section 2: Analysis
• Interpret the scatter plots and designate the type of relationship (increasing/positive, decreasing/negative, or no relationship) observed in each one.
• Determine what you can conclude from these relationships. You may include a copy of each chart in your report, but it is not required.

Section 3: Recommendations and implementation
• Based on the findings, assess which expansion criteria seem to be more effective. Could any expansion criterion be changed or eliminated? If so, which one(s) and why?
• Based on the findings, does it appear as if the loyalty card is positively correlated with sales growth? Would you recommend any changes to this marketing strategy?
• Based on the findings, recommend market positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)
• Include how the local culture and communities are represented in your market position in your recommendations.
• Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use surveys/samples or census?)

Format your references according to APA guidelines.

Statistical methods to support actionable business decisions

As a sales manager, you will use statistical methods to support actionable business decisions for Pastas R Us, Inc., a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. In simpler terms, you are reviewing available information to determine if what your company is doing works. In this assessment, you use predictive and qualitative analysis skills to create a report for the executive team from available Pastas R Us, Inc. data about the effectiveness of the current expansion criteria, loyalty card program, and marketing position.

Scenario
Since its inception, the Pastas R Us business development team has favored opening new restaurants in areas that satisfy the following demographic conditions within a 3-mile radius:
• Median age is between 25–45 years old.
• Household median income is above the national average.
• At least 15% of the adult population is college educated.

Last year, the marketing department rolled out a loyalty card strategy to increase sales. Under this program, customers present their loyalty card when paying for their orders and receive some free food after making 10 purchases.

The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., loyalty card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1,200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.

Preparation
Analyze the Pastas R Us charts file for your report, including the scatter plots and regression equations for the following pairs of variables:
• “Sales/Sq.Ft. ($)” versus “Bach. Degrees (%)”
• “Median Income ($)” versus “Sales/Sq.Ft. ($)”
• “Median Age (Years)” versus “Sales/Sq.Ft. ($)”
• “Loyalty Card (%)” versus “Sales Growth (%)”

Assessment Deliverable
Write a 700- to 1,050-word predictive and qualitative analysis report of Pastas R Us, Inc. that includes the following sections: scope and descriptive statistics, analysis, and recommendations and implementation.

Section 1: Scope and descriptive statistics
• State the report’s objective.
• Discuss the nature of the current data. What variables were analyzed?
• Summarize your descriptive statistical findings from Week 1.

Section 2: Analysis
• Interpret the scatter plots and designate the type of relationship (increasing/positive, decreasing/negative, or no relationship) observed in each one.
• Determine what you can conclude from these relationships. You may include a copy of each chart in your report, but it is not required.

Section 3: Recommendations and implementation
• Based on the findings, assess which expansion criteria seem to be more effective. Could any expansion criterion be changed or eliminated? If so, which one(s) and why?
• Based on the findings, does it appear as if the loyalty card is positively correlated with sales growth? Would you recommend any changes to this marketing strategy?
• Based on the findings, recommend market positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)
• Include how the local culture and communities are represented in your market position in your recommendations.
• Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use surveys/samples or census?)

Format your references according to APA guidelines.

The meaning of talent and talent management

 

 

 

 

Why is it important to establish the meaning of talent and talent management in a particular organizational setting?
How does the strategic direction of the organization influence human resource planning activities?
What are some potential disadvantages of using a packaged application to help automate the employee goal-setting process?
Why is it important to have an adaptable workforce in a global economy?