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# Class Notes for Statistics at University of Manitoba

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##### STAT 1000 Lecture Notes - Lecture 22: Fair Coin, Sample Space, Probability Theory 24HRPremium

Lecture 22 - STAT 100 (1/11/2017) Probability Roll a die, toss a coin, or buy a lottery ticket with your lucky numbers. The outcome cannot be predicted ahead of time, but can nevertheless be described by ...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 34: Null Hypothesis, Confidence Interval, Standard Deviation 24HRPremium

Lecture 34 - STAT 1000 (1/12/2017) Testing of Hypothesis: 1. P-Value method a. If p-value = 0, reject Ho at = 0 2. Confidence Interval method: a. Requirement: i. ...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 28: Sampling Distribution, Random Variable, Central Limit Theorem 24HRPremium

Lecture 28 - STAT 1000 (17/11/2017) Example 1: STAT1000 - Basic Statistical Analysis I lecture notes Z = 0.44 from Table A ...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 27: Bias Of An Estimator, Simple Random Sample, Variance 24HRPremium

Lecture 27 - STAT 1000 (15/11/2017) Unit 7- Sampling Distribution Suppose that, rather being interested in probability calculations for some variable on a single individual, we are instead interested in t...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 35: Test Statistic, Dependent And Independent Variables, Twin Study 24HRPremium

Lecture 35 - STAT 1000 (4/12/2017) Example - Fast Food: A fast food restaurant claims that the average waiting time in their drive through is less than a minute. We record the drive thru waiting times for a...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 29: Random Variable, Standard Deviation, Central Limit Theorem 24HRPremium

Lecture 29 - STAT 1000 (20/11/2017) Example 1: Even though we dont know the form of the distribution of diameters, since the sample size is high, we know that the distribution of X is approximately n...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 26: Random Variable, Standard Deviation, Binomial Coefficient 24HRPremium

Lecture 26 - STAT 1000 (10/11/2017) Example 1 : The observations are fixed . . . there are 50. Whether or not one person has a boy does not influence what another person will have . . . i...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 33: Confidence Interval, Null Hypothesis 24HRPremium

Lecture 33 - STAT 1000 (29/11/2017) Example- Sonnets: x z = ...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 23: Sample Space, Venn Diagram, Empty Set 24HRPremium

Lecture 23 - STAT 100 (3/11/2017) Intersection Example : We can see that there are only two events that are in both A and B. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41,...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 30: Central Limit Theorem, Statistical Parameter, Binomial Distribution 24HRPremium

Lecture 30 - STAT 1000 (22/11/2017) According to the Manitoba Agriculture Website, 17% of the total number of farms in Manitoba are vegetable farms. In a SRS of 30 farms, what is the probability tha...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 31: Confidence Interval 24HRPremium

Lecture 31 - STAT 1000 (24/11/2017) Confidence Intervals What if we can set up an interval? How confident will be that the true population mean , , falls in the interval ? Recall the : I...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 32: Standard Deviation, Null Hypothesis, Confidence Interval 24HRPremium

Lecture 32 - STAT 1000 (27/11/2017) Sample Size Determination Note that the length of a confidence interval depends on the sample size,but not the population size! For a given sample size, our ...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 24: Sample Space 24HRPremium

Lecture 24 - STAT 1000 (6/11/2017) Independent Independent : observing the outcome of the first in no way alters the probability structure of the second. For example, the outcome of the roll of the fir...

Statistics
STAT 1000
##### STAT 1000 Lecture Notes - Lecture 25: Normal Distribution, Sample Space, Random Variable 24HRPremium

Lecture 25 - STAT 1000 (8/11/2017) Notice that the probability of each outcome is between 0 and 1. Also note that P(O) + P(A) + P(B) + P(AB) = 0.48 + 0.23 + 0.19 + 0.10 = 1 The pro...

Statistics
STAT 1000

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STAT 1000
##### Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
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