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Course Description: MATH& 146 is a standard introductory course in basic statistics. Content includes: the graphical display of data; the numerical summary of data; the basics of surveys and experiments; basic probability theory; the central limit theorem; sampling distributions; confidence intervals; hypothesis tests; the t-distribution; correlation; and linear regression. Applications are drawn from business, social and natural sciences, and current events.
Credits: 5
Prerequisites: A grade of "C" or better in MATH 098 or appropriate placement test score.
Recommended Preparation: None
Co-requisites: None
Course Learning Outcomes: Students completing the course will have been instructed in how to do the following, and earn a course grade based on the evaluation of their ability to do the following:
1.
Identify the individuals of a statistical study
2.
Identify the variables of a study
3.
Distinguish between categorical and quantitative variables
4.
Construct a histogram for a given set of values by hand
5.
Construct a stemplot for a given set of values by hand
6.
Describe the shape of a variable distribution in terms of symmetry and skewness
7.
Describe the center of a distribution using the mean, median, and mode
8.
Describe the spread of a distribution using the range, interquartile range and standard deviation.
9.
Identify the percent of a distribution lying within a given range.
10.
Calculate the mean of a set of values by hand
11.
Calculate the mean and standard deviation of a set of values using a calculator function
12.
Identify the median of a set of values
13.
Identify quartiles
14.
Calculate the sample standard deviation
15.
Recognize the affect that extreme values and/or skewness have on the mean and median
16.
Construct a five-number summary for a set of data and draw a box plot
17.
Calculate the standard z-score for values from a Normal distribution
18.
Use the z-score and a table to determine the proportion of a Normal distribution within a given range of values
19.
Find the range of values that capture a given percent of a Normal distribution.
20.
Identify the population of a study
21.
Identify the sample of a study
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Identify a voluntary response sample.
23.
Take a simple random sample using a table of random digits
24.
Identify when sampling suffers from undercoverage
25.
Identify when sampling suffers from nonresponse
26.
Identify bias in a survey question
27.
Distinguish between an experiment and an observational study
28.
Identify confounding
29.
Identify the treatment(s) of a study
30.
Identify the factors of a study
31.
Identify the explanatory and response variables
32.
Identify the sample space of a random phenomenon
33.
Calculate the probability of an outcome for a discrete random variable
34.
Construct a probability model for a discrete random phenomenon
35.
Determine whether a given probability model is legitimate
36.
Use a discrete probability distribution to determine the probability of a given event
37.
Use the Normal distribution as a continuous probability model to determine the probability of a given event
38.
Use the Normal distribution to determine the cut-off value(s) for a given probability
39.
Distinguish between parameters and statistics.
40.
Determine the mean and standard deviation of a sampling distribution from the mean and standard deviation of the population
41.
Use facts about the sampling distribution of the mean to find the probability that a mean falls within a given range of values
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42.
Construct a confidence interval for estimating a population with a given level of confidence where the population standard deviation is known
43.
Conduct a hypothesis test for a claim about a population mean where the population standard deviation is known
44.
Construct a confidence interval for estimating a population mean with a given level of confidence where the population standard deviation is not known
45.
Conduct a hypothesis test for a claim about a population mean where the population standard deviation is not known
46.
Determine the sample size required for estimating a population mean to within a given margin of error with a given level of confidence where the population standard deviation is known.
47.
Recognize the effect that sample size has on the sensitivity of a hypothesis test
48.
Distinguish between statistical and practical significance
49.
Construct a confidence interval for estimating the difference between two population means with a given level of confidence where the population standard deviations are not known
50.
Conduct a hypothesis test for a claim about the difference between two population means where the population standard deviations are not known
51.
Construct a confidence interval for estimating a population proportion with a given level of confidence
52.
Conduct a hypothesis test for a claim about a population proportion
53.
Construct a confidence interval for estimating the difference between two population proportion with a given level of confidence
54.
Conduct a hypothesis test for a claim about the difference between two population proportions
55.
Construct a scatterplot by hand
56.
Determine whether a correlation is linear from a scatterplot
57.
Describe the direction of a correlation from a scatterplot
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Describe the strength of a correlation from a scatterplot
59.
Calculate the linear correlation coefficient r using a calculator function
60.
Calculate the least squares regression equation using a calculator function
61.
Calculate r
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using a calculator
62.
Interpret the meaning of r
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63.
Describe the direction of a correlation from a correlation coefficient (r)
64.
Describe the strength of a correlation from a correlation coefficient (r)
65.
Interpolate and/or extrapolate using the least squares regression equation
66.
Identify interpolation and/or extrapolation
Course Resources/Textbooks/Website: The Basic Practice of Statistics ; 6 th
Edition; Moore; W.H.
Freeman and Company, 2013. If you have questions about the text, please contact Tom Kuester at tkuester@ghc.edu
. The textbook is required for the course. You will also need a scientific calculator for the course. The calculator must have one- and two-variable statistical functions. Students have successfully used a wide variety of calculators in this course over the years. These include various models from TI, Casio, Sharp, Hewlett-Packard, and probably other companies as well. Calculators worth considering are TI-30XIIS, TI-30XS MultiView, TI-34 MultiView, CASIO fx-115ES, and CASIO fx-
300ES. You CANNOT use a cell-phone, i-pod, computer or any other internet connected device as a calculator or for any other purpose during testing due to the obvious potential for cheating!
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Academic Integrity : All forms of cheating, falsification, and plagiarism are against the rules of this course and of Grays Harbor College. Students who are unsure what constitutes academic dishonesty are responsible for asking the instructor for clarification. Instances of intentional academic dishonesty will be dealt with severely.
Disabilities: Students who have documented disabilities that require accommodations in compliance with the Americans with Disabilities Act should contact the Disability Support Services coordinator as well as the instructor of the course in order to ensure that together we create an optimal environment for educational achievement.
W Day: W Day, the final day to officially withdraw from a course, is the Thursday of the seventh week
(Thursday of the fourth week for summer quarter). Students who do not withdraw by that date will receive the grades they have earned, regardless of whether they are attending the course or completing the work. Students who are considering withdrawal are strongly advised to consult with the instructor, advisor and financial aid prior to withdrawing. The only withdrawals allowed after W Day are complete withdrawals from all courses.
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