 # Course Description

Schoolcraft is excited to offer traditional credit face-to-face, hybrid, online, and remote classes. We are committed to providing students a safe experience based on recent COVID-19 concerns.

# Mathematics - MATH 122

## Elementary Statistics

### Course Description

This course includes an introduction to statistics, statistical descriptions, frequency distributions, possibilities and probabilities, probability distributions, sampling and sampling distributions, testing hypotheses based on measurements, count data, paired data and use of nonparametric tests.

### Prerequisites

(A requirement that must be completed before taking this course.)

• MATH 113 with a minimum grade of 2.0 or a minimum score of 23 ACT-Math, 29 SAT-Math, 63 CPT-College-Level Math or 265 NGA-Quantitative Reasoning, Algebra and Statistics.

### Course Competencies

Upon successful completion of the course, the student should be able to:

• Create visual presentations using sample data both by hand and by using statistical software, including a tabular frequency distribution, stem-and-leaf plot, histogram, frequency polygon and pie chart.
• Compute descriptive statistics both by using an algorithm and by using statistical software, including the mean, median, mode, fractiles, range, variance and standard deviation.
• Determine whether a given sampling method yields a random sample, simple random sample, stratified sample, etc.
• Use a random number generator to select a random sample from a given population.
• Determine the number of possible outcomes of an event with the aid of the addition, multiplication, complement, factorial and other rules.
• Calculate probability of an event by using the classical approach.
• Estimate the probability of an event by using the relative frequency approach.
• Determine the conditional probability of one event given another event by using the defining formula for conditional probability.
• Determine probabilities for various discrete distributions (including the uniform, binomial and hypergeometric) by all of the following means: a formula, a table and statistical software.
• Determine probabilities for various continuous distributions (including the Gaussian normal and Student's t) by using a formula and either a table or statistical software.
• Interpret probabilities of a discrete random variable as the area of bars in its histogram.
• Interpret probabilities of a continuous random variable as the area under the graph of its density function.
• Solve practical problems involving probability distributions.
• Determine the mean (expected) value and the standard deviation of a discrete random variable using its probability distribution.
• Determine whether two events are independent of one another by using their probabilities.
• Determine a confidence interval for a population mean, based on a random sample and the normal or t-distribution (as appropriate), both by using a formula and table and by using statistical software.
• Test a hypothesis regarding one, two or several population means, based on random sample(s) and the normal, t- or ANOVA distribution (as appropriate), both by using a formula and table and by using statistical software.
• Determine a confidence interval for a population proportion, based on a random sample and the normal distribution, both by using a formula and table and by using statistical software.
• Test a hypothesis regarding one, two or several population proportions, based on a random sample(s) and the normal, t or chi-squared distribution (as appropriate), both by using a formula and table and by using statistical software.
• Determine Pearson's linear correlation coefficient r for a sample of bivariate data, both by using a formula and by using statistical software.
• Determine the least-squares linear regression fit to a sample bivariate data.
• Test a hypothesis regarding the linear correlation between two variables, based on a random sample and on critical values of the r-distribution, both with the aid of a table and the aid of statistical software.
• Test a hypothesis regarding one or two population medians or a population proportion, based on a random sample(s) and the sign test.
• Test a hypothesis regarding the linear correlation between two variables, based on a random sample and Spearman's rank-correlation test.
• Investigate sampling distributions of statistics.

### Course Schedule

CourseSectionCourse TitleLocationCredit HoursInstructorsSeats Available ⁄Capacity ⁄WaitlistStatusFeeDays-Time-Room

Fall; 2021; MATHEMATICS; No of Weeks : 12; Begins : 08/30/2021

122142701Elem StatisticONL4Shields K3/31/0Open\$12.00

Fall; 2021; MATHEMATICS; No of Weeks : 12; Begins : 09/21/2021

122142782Elem StatisticONL4Shields K5/31/0Open\$12.00
122142994Elem StatisticONL4Stetson B6/31/0Open\$12.00
122142996Elem StatisticONL4Stetson B9/31/0Open\$12.00
122143046Elem StatisticMC4Jankoviak Anderson K0/24/1Closed\$12.00T R  10:00 AM-12:26 PM BTC300
122143068Elem StatisticMC4Marilley D6/24/0Open\$12.00M W  06:30 PM-08:56 PM BTC320
122143114Elem StatisticMC4Marilley D3/24/0Open\$12.00M W  02:30 PM-04:56 PM BTC370

Fall; 2021; MATHEMATICS; No of Weeks : 15; Begins : 08/30/2021

122142722Elem StatisticONL4Stetson B2/31/0Open\$12.00
122142767Elem StatisticONL4Stetson B4/31/0Open\$12.00
122142772Elem StatisticONL4Stetson B9/31/0Open\$12.00
122142995Elem StatisticONL4Choraszewski L2/31/10Closed\$12.00
122143035Elem StatisticRMT4Gerich R3/24/0Open\$12.00M W  08:00 AM-09:54 AM WEBWEB
122143116Elem StatisticMC4Jankoviak Anderson K2/24/0Open\$12.00T R  01:00 PM-02:54 PM BTC300
122143134Elem StatisticMC4Wiedenfeld J3/24/0Open\$12.00T R  03:00 PM-04:46 PM BTC370

Winter; 2022; MATHEMATICS; No of Weeks : 12; Begins : 01/10/2022

122112724Elem StatisticONL4Stetson B31/31/0Open\$12.00
122112784Elem StatisticONL4Choraszewski L31/31/0Open\$12.00

Winter; 2022; MATHEMATICS; No of Weeks : 12; Begins : 01/31/2022

122112787Elem StatisticONL4Stetson B31/31/0Open\$12.00
122112789Elem StatisticONL4Stetson B31/31/0Open\$12.00

Winter; 2022; MATHEMATICS; No of Weeks : 15; Begins : 01/10/2022

122112734Elem StatisticONL4Stetson B31/31/0Open\$12.00
122112744Elem StatisticONL4Stetson B31/31/0Open\$12.00
122113013Elem StatisticMC4Gerich R20/20/0Open\$12.00T R  12:00 PM-01:54 PM LA420
122113017Elem StatisticMC4Marilley D24/24/0Open\$12.00M W  01:00 PM-02:54 PM BTC165
122113021Elem StatisticMC4Jankoviak Anderson K24/24/0Open\$12.00T R  08:00 AM-09:54 AM BTC100
122113035Elem StatisticMC4Gerich R24/24/0Open\$12.00T R  10:00 AM-11:54 AM BTC165
122113052Elem StatisticMC4Marilley D24/24/0Open\$12.00M W  06:00 PM-07:54 PM BTC300
122113075Elem StatisticMC4Marilley D24/24/0Open\$12.00T R  06:00 PM-07:54 PM BTC100
122113130Elem StatisticMC4Jankoviak Anderson K24/24/0Open\$12.00M W  09:00 AM-10:54 AM BTC320

Key: Day of the Week

• T = Tuesday
• R = Thursday
• S = Saturday
• X = Sunday

Key: Class Location