Turn in the following typed (12 point) and stapled packet for your final project:
____
Cover sheet containing your name(s), class time, and the name of your study
____
Summary , which includes all items listed on summary checklist
____
Solution sheet neatly and completely filled out. The solution sheet does not need to be typed.
____
Graphic representation of your data , created following the guidelines previously discussed; include only graphs which are appropriate and useful.
____
Raw data collected AND a table summarizing the sample data (
n ,
$\overline{x}$ and
s ; or
x ,
n , and
p ’, as appropriate for your hypotheses); the raw data does not need to be typed, but the summary does. Hand in the data as you collected it. (Either attach your tally sheet or an envelope containing your questionnaires.)
Bivariate data, linear regression, and univariate data
Student learning objectives
The students will collect a bivariate data sample through the use of appropriate sampling techniques.
The student will attempt to fit the data to a linear model.
The student will determine the appropriateness of linear fit of the model.
The student will analyze and graph univariate data.
Instructions
As you complete each task below, check it off. Answer all questions in your introduction or summary.
Check your course calendar for intermediate and final due dates.
Graphs may be constructed by hand or by computer, unless your instructor informs you otherwise. All graphs must be neat and accurate.
All other responses must be done on the computer.
Neatness and quality of explanations are used to determine your final grade.
Part i: bivariate data
Introduction
____State the bivariate data your group is going to study.
Here are two examples, but you may
NOT use them: height vs. weight and age vs. running distance.
____Describe your sampling technique in detail. Use cluster, stratified, systematic, or simple random sampling (using a random number generator) sampling. Convenience sampling is
NOT acceptable.
____Conduct your survey. Your number of pairs must be at least 30.
____Print out a copy of your data.
Analysis
____On a separate sheet of paper construct a scatter plot of the data. Label and scale both axes.
____State the least squares line and the correlation coefficient.
____On your scatter plot, in a different color, construct the least squares line.
____Is the correlation coefficient significant? Explain and show how you determined this.
____Interpret the slope of the linear regression line in the context of the data in your project. Relate the explanation to your data, and quantify what the slope tells you.
____Does the regression line seem to fit the data? Why or why not? If the data does not seem to be linear, explain if any other model seems to fit the data better.
____Are there any outliers? If so, what are they? Show your work in how you used the potential outlier formula in the Linear Regression and Correlation chapter (since you have bivariate data) to determine whether or not any pairs might be outliers.
Part ii: univariate data
In this section, you will use the data for
ONE variable only. Pick the variable that is more interesting to analyze. For example: if your independent variable is sequential data such as year with 30 years and one piece of data per year, your
x -values might be 1971, 1972, 1973, 1974, …, 2000. This would not be interesting to analyze. In that case, choose to use the dependent variable to analyze for this part of the project.
_____Summarize your data in a chart with columns showing data value, frequency, relative frequency, and cumulative relative frequency.
_____Answer the following question, rounded to two decimal places:
Sample mean = ______
Sample standard deviation = ______
First quartile = ______
Third quartile = ______
Median = ______
70th percentile = ______
Value that is 2 standard deviations above the mean = ______
Value that is 1.5 standard deviations below the mean = ______
_____Construct a histogram displaying your data. Group your data into six to ten intervals of equal width. Pick regularly spaced intervals that make sense in relation to your data. For example, do NOT group data by age as 20-26,27-33,34-40,41-47,48-54,55-61 . . . Instead, maybe use age groups 19.5-24.5, 24.5-29.5, . . . or 19.5-29.5, 29.5-39.5, 39.5-49.5, . . .
_____In complete sentences, describe the shape of your histogram.
_____Are there any potential outliers? Which values are they? Show your work and calculations as to how you used the potential outlier formula in
Descriptive Statistics (since you are now using univariate data) to determine which values might be outliers.
_____Construct a box plot of your data.
_____Does the middle 50% of your data appear to be concentrated together or spread out? Explain how you determined this.
_____Looking at both the histogram AND the box plot, discuss the distribution of your data. For example: how does the spread of the middle 50% of your data compare to the spread of the rest of the data represented in the box plot; how does this correspond to your description of the shape of the histogram; how does the graphical display show any outliers you may have found; does the histogram show any gaps in the data that are not visible in the box plot; are there any interesting features of your data that you should point out.
Due dates
Part I, Intro: __________ (keep a copy for your records)
Part I, Analysis: __________ (keep a copy for your records)
Entire Project, typed and stapled: __________
____ Cover sheet: names, class time, and name of your study
____ Part I: label the sections “Intro” and “Analysis.”
____ Part II:
____ Summary page containing several paragraphs written in complete sentences describing the experiment, including what you studied and how you collected your data. The summary page should also include answers to ALL the questions asked above.
____ All graphs requested in the project
____ All calculations requested to support questions in data
____ Description: what you learned by doing this project, what challenges you had, how you overcame the challenges
Note
Include answers to ALL questions asked, even if not explicitly repeated in the items above.
sample mean 25, sample standard deviation 20, sample size 200, calculate the confidence interval using the given values and the original confidence level of 90%.
please can anyone help me solve these questions below? I need help please.
MMSI
a)An investor wants to eliminate seven of the investments in her portfolio by selling 4 stocks and 3 bonds.
In how many can these be sold if among 25 securities in the portfolio,13 are stocks and the rest bonds?
MMSI
a)If a random variable has the standard normal distribution,what are the probabilities that it will take on a
value:
i)Less than 1.64
ii)Greater than-0.47
MMSI
b)A random variable has a normal distribution with a mean of 60 and standard deviation 5.2.What are the
probabilities that the random variable will take on a value:
i)Less than 65.2
ii)Between 48 and 72?
MMSI
b)If the probability that an individual suffers a bad reaction from injection of a given serum is 0.001,use
the Poisson law to calculate the probability that out of 2000 individuals
i)Exactly 3 individuals will suffer a bad reaction.
ii)More than 2 individuals will suffer a bad reaction.
MMSI
b)The breakfast menu serve data popular 5-star Hotel in Accra consists of the following items:
Juice-Mango,Grape,Apple.
Toast-Whitewheat,Whole wheat.
Egg:Fried,Hard-boiled,Scrambled.
Beverage:Coffee,Tea,Cocoa.
MMSI
Continuation of the last question.Assist the Hotel manager to determine the number of possible breakfast combinations that can be served,
one from each category
what is the difference between population and sample
Inam
Sample is the group of individual who participate in your study.
Sample is a subset of population.
Population is the broader group of people to whom you intend to generalize the results of your study.
Ekene
how do you find z if you only know the area of .0808
calculate chi-square if observed x,y,z frequency 40,30,20total 90
Insha
find t value,if boysN1, ،32,M1,87.43 S1square,39.40.GirlsN2,34,M2,82.58S2square,40.80
Determine whether the results are significant or insignificant
Insha
The heights of a random sample of 100 entering HRM Freshman of a certain college is 157 cm with a standard deviation of 8cm. test the data against the claim that the overall height of all entering HRM students is 160 cm. previous studies showed that
STATISTICS IN PRACTICE:
This is a group assignment that seeks to reveal students understanding of statistics in general and it’s practical usefulness. The following are the guidelines;
1. Each group has to identify a natural process or activity and gather data about/from the process.
2.
The diameter of an electric cable,say, X is assumed to be continoues random variable with p.d.f f(x)=6x(1-x); ≤x≤1 a)check that f(X) is p.d.f b) determine a number b such that p(Xb)
A manufacturer estimate 3% of his output is defective. Find the probability that in a sample of 10 items
(a) less than two will be defective
(b) more than two will be defective.
A manufacturer estimates that 3% of his output of a small item is defective. Find the probabilities that in a sample of 10 items (a) less than two and (b) more than two items will be defective.
ISAIAH
use binomial distribution with parameter n=10, p= 0.03, q=0.97
Shivprasad
the standard deviation of a symmetrical distribution is 7.8 . what must be the value of forth moment about the mean in order that distribution be
a) leptokurtic
b) mesokurtic
c) platy kyrtic
intrept the obtain value of a b and c