First, research random number generators. Then, respond to the following in a paper.
When would you use a random number generator?
Select a random number generator and use it to generate at least 10 numbers.
Include a link to your selected random number generator and a screenshot of the numbers you generate.
MAKIND SENSE OF NUMBERS
Option A:
Watch the video “What is Number Sense?” linked on the Learning Objects page. Then develop an original response guided by these prompts:
Research, summarize, and comment upon the value of number sense competitions sponsored by the University Interscholastic League.
Demonstrate at least one mental “shortcut” similar to or different from Dr. Boaler’s methods to mentally solve one of the problems in a Sample UIL Number Sense Test.. APA citations are required only for the original response.
OR
Option B:
Play the game “Bridge Builder Fractions” linked on the Learning Objects page. Then develop an original response to these prompts:
What was your “cost?”
On a scale of 1 to 5, how challenging did you find this game (5 is most challenging)? Justify your selection.
On a scale of 1 to 5, how challenging would this be for a 6th grade student with average mathematical ability? Justify your selection.
According to research, would this game support student learning of fractions? Justify your answer.
Use the previous information to determine if the following situations would result in dependent or independent samples.
In the next activity, you will need to be able to calculate the mean of a difference, and identify the difference between independent and dependent samples.
1. Explain the difference between a population and a sample (from a
statistical point of view). (4pts)
2. Explain the difference between quantitative variable
and qualitative variable. (4pts)
3. Explain the difference between descriptive statistics
and inferential statistics. (4pts)
Chapter 2
1. For a dataset, without constructing of the frequency distribution table;
how to obtain the class width of frequency distribution table if the
number of classes is given? (2pts)
Note: Use the formula in the slides; here frequency distribution table is
not provided.
2. Explain the difference between a frequency distribution table and a
relative frequency distribution table (4pts)
Chapter 3
1. Explain the difference between mean and median. Is mean always
larger than median? (4pts)
2. Explain the difference between µ and x . How do you determine
which is appropriate to use in a problem? (4pts)
3. Explain the difference between σ and s. How do you determine which
is appropriate to use in a problem? (4pts)
4. What is the relationship between variance and standard deviation?
(2pts)
2
5. Explain the difference between range and interquartile range. (4pts)
6. Explain what the coefficient of variation is. What is the advantage of
using it compared to standard deviation? (4pts)
Chapter 4
1. Explain the meaning of “Event with equally likely outcomes”. (4pts)
2. Explain the difference between joint(nonexclusive) events and
disjoint(mutually exclusive) events. (4pts)
3. Explain the difference between P(A) and P(A|B). What does it mean
if they are equal in value? What does it mean if they are unequal in
value? (4pts)
4. Explain the difference between P(A|B) and P(B|A). Must they be
equal in value? (4pts)
5. Explain the difference between Permutation and Combination. (4pts)
Chapter 5
1. Explain what a discrete random variable is. List examples.(4pts)
2. What are the requirements for a discrete probability distribution?
(4pts)
3. Explain what binomial probability distribution is.
Hint: list requirements in slides.(4pts)
Chapter 6
1. Explain what a continuous random variable is. List examples. (4pts)
2. Explain some basic characteristics of Normal Distribution. (4pts)
3. What is the standard Normal Distribution? (2pts)
4. Explain the difference between a raw score (x value) and a standard
score(z value). (4pts)
5. How to convert a raw score to a standard score; and how to convert a
standard score to a raw score? (4pts)
3
6. Explain how to use Table 2 for each of the following intervals:
a) z < a (less than) b) z > a (more than)
c) a < z < b (between)
Here a and b are constant z units. b is larger than a
Describe the strategies we mentioned in class for theses 3 cases (6pts)
7. Explain what the Inverse Normal Distribution is. How would you
figure out whether a problem is Normal Distribution type or Inverse
Normal type? (4pts)
Your essay and outside sources for this essay need to be cited in proper APA format.
Report on an actual percentage of people (or animals) benefiting from the current program, a new percentage of volunteers needed for the program in the future, and new budget percentages for the program for the upcoming fiscal year.
Paragraph 1: Introduction – What is the program?
Paragraph 2: Budget Information – What’s the budget? List percentages and actual amounts for each category in your budget.
Paragraph 3: Volunteers – How many do you need and what percentage of the population is that? Do they need any special training? Where might you find volunteers?
Paragraph 4: Beneficiaries – Who will benefit from the service you’re providing? What percentage of the population of your city will benefit? What is the criteria for participating?
Paragraph 5: Conclusion – What are the goals for the project? What is the overall effect on the community?
Need to have:
Five paragraphs
250 words or more
Reference
Can you think of examples where a company would use information based on income, height, weight, age, or other demographics to produce products?
Select an industry, company, or product that you think uses (or should use) the normal distribution to aid in the design or marketing of a product. Do some research on the industry, company, or product if needed.
Identify the industry, company, or product you selected, and then discuss the following in your initial response.
Would using the normal distribution would be advantageous for the company? Why or why not?
What are some ethical ramifications of designing products using information based on the normal distribution?
Develop a confidence interval for a population parameter.Evaluate hypothesis tests for population parameters from one population.
Explain the difference between a population and a sample (from a statistical point of view). (4pts)
Explain the difference between quantitative variable and qualitative variable. (4pts)
Explain the difference between descriptive statistics and inferential statistics. (4pts)
Explain the difference between a frequency distribution table and a relative frequency distribution table (4pts) Chapter
Explain the difference between mean and median. Is mean always larger than median? (4pts) 2. Explain the difference between µ and x . How do you determine which is appropriate to use in a problem? (4pts)
Explain the difference between σ and s. How do you determine which is appropriate to use in a problem? (4pts)
What is the relationship between variance and standard deviation? (2pts) 2 5. Explain the difference between range and interquartile range. (4pts) 6. Explain what the coefficient of variation is. What is the advantage of using it compared to standard deviation? (4pts)
Chapter4
Explain the meaning of “Event with equally likely outcomes”. (4pts)
Explain the difference between joint(nonexclusive) events and disjoint(mutually exclusive) events. (4pts)
Explain the difference between P(A) and P(A|B). What does it mean if they are equal in value? What does it mean if they are unequal in value? (4pts)
Explain the difference between P(A|B) and P(B|A). Must they be equal in value? (4pts)
Explain the difference between Permutation and Combination. (4pts)
Chapter 5
Explain what a discrete random variable is. List examples.(4pts)
What are the requirements for a discrete probability distribution? (4pts)
Explain what binomial probability distribution is. Hint: list requirements in slides.(4pts)Explain what a continuous random variable is. List examples. (4pts)
Explain some basic characteristics of Normal Distribution. (4pts)
What is the standard Normal Distribution? (2pts)
Explain the difference between a raw score (x value) and a standard score(z value). (4pts)
How to convert a raw score to a standard score; and how to convert a standard score to a raw score? (4pts) 3
Explain how to use Table 2 for each of the following intervals: a) z < a (less than) b) z > a (more than) c) a < z < b (between) Here a and b are constant z units. b is larger than a Describe the strategies we mentioned in class for theses 3 cases (6pts)
Explain what the Inverse Normal Distribution is. How would you figure out whether a problem is Normal Distribution type or Inverse Normal type? (4pts)
Previously explaine some of the basic statistics to your client already, and he really liked your work. Analyze the confidence intervals.
Describe the data using the measures of central tendency and measures of variability.
