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What is statistics? “Statistics is the study of the collection, organization, analysis, and interpretation of data.”
How tall are students in this class? How can we answer this question? What data would you need to collect?
How tall are students in this class? MEAN: Mean = 69.30
How tall are students in this class? S = 4.84 STANDARD DEVIATION:
Mean = 8.88 Std Dev = 1.90 Mean = 9.02 Std Dev = 3.77
How tall are students in Michigan? How can we answer this question? Would you need a different sample compared to our previous question?
How tall are students in Michigan? STANDARD ERROR: SE = 0.80
Are students in Michigan taller than students in Ohio?
SQUARED! Half the class gets bean type 1, half the class bean type 2 Do the two types of beans have different lengths?
MEAN: STANDARD DEVIATION: STANDARD ERROR:
Discussing the student measurements of building height. Letting them originate concepts for: Multiple measures Mean Standard Deviation Outliers / identifying.
There are two statistical tests for mean: 1) z test – Used for large samples (n ≥ 30) 1) t test – Used for small samples (n < 30)
T T Population Sample Size Calculations Purpose Allows the analyst to analyze the sample size necessary to conduct "statistically significant"
1 Finding Sample Variance & Standard Deviation Given: The times, in seconds, required for a sample of students to perform a required task were: Find:
Chapters 7-8 Key Points and JMP Instructions. Example 1: Comparing Two Sample Means Means are different at the =.05 level.
Squaring of a number ending in 5 An approach to determine answers Quickly! Squaring of a number ending in 5.
Ch. 8: Confidence Interval Estimation
Starter The length of leaves on a tree are normally distributed with a mean of 14cm and a standard deviation of 4cm. Find the probability that a leaf is:
Confidence Intervals Objectives: Students should know how to calculate a standard error, given a sample mean, standard deviation, and sample size Students.
With replacement or without replacement? Draw conclusions about a population based on data about a sample. Ask questions about a number which describe.
Lesson #17 Sampling Distributions. The mean of a sampling distribution is called the expected value of the statistic. The standard deviation of a sampling.
LSSG Black Belt Training Estimation: Central Limit Theorem and Confidence Intervals.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Distribution of the Sample Mean (Central Limit Theorem)
Measures of Variation. Range, Variance, & Standard Deviation.
April 22 th, 2014 Get out the Please Be Discrete Task and have questions ready!
Formative Assessment Item Bank Fulton County Schools Mathematics Professional Development August 13, 2010 Essential Question: How do we use the FCS Mathematics.
T-test for dependent samples By: -Mohammed -Zaid - Islam - Omar.
CHAPTER 8 Estimating with Confidence
Statistics for Quantitative Analysis
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