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LECTURE 13: Cross
LECTURE 13: Cross

... We have done this exercise for the sample mean (so you could trace the computations), but α could be any other statistical operator. Here lies the real power of this procedure!! How many bootstrap samples should we use? As a rule of thumb, several hundred re-samples will be sufficient for most probl ...
Ch6-Sec6.1
Ch6-Sec6.1

... Interpreting the Results The horizontal segments represent 90% confidence intervals for different samples of the same size. In the long run, 9 of every 10 such intervals will contain μ. ...
Interpreting Confidence Intervals
Interpreting Confidence Intervals

... we could guess that µ is “somewhere” around 240.79. How close to 240.79 is µ likely to be? To answer this question, we must ask another: How would the sample mean x vary if we took many SRSs of size 16 from the population? ...
Statistics Guide - Amanda Rockinson
Statistics Guide - Amanda Rockinson

CHAPTER 7 Estimates, Sample Sizes, and Confidence Intervals
CHAPTER 7 Estimates, Sample Sizes, and Confidence Intervals

CHAPTER 9 TESTS OF HYPOTHESES: LARGE SAMPLES
CHAPTER 9 TESTS OF HYPOTHESES: LARGE SAMPLES

... 3. Construct a confidence interval for the population proportion. 4. Construct a confidence interval for the population mean when the population standard deviation is known. 5. Construct a confidence interval for the population mean when the population standard deviation is unknown. 6. Determine the ...
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Doc

Week 4
Week 4

What would be a better way to represent this data
What would be a better way to represent this data

With our data for Example 3
With our data for Example 3

Lecture Notes
Lecture Notes

... equally, that the chance the observed effect occurred by chance was 5%. That’s the best statistics can do, it cannot prove that the observed effect was real, only increase our confidence in the reality! As an aside at this point, we asked ourselves how we actually made the comparison between the ‘be ...
4309 ∑ 4919 - Bakersfield College
4309 ∑ 4919 - Bakersfield College

... (b) z = 31 (c) z = 37 (d) z = 5 (e) none of these 43. The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What is the upper quartile of battery shelf life? A) 4.0059 years B) 4.25 years C ...
With our data for Example 3
With our data for Example 3

c5_hypo1
c5_hypo1

... A manufacturing company has submitted a claim that 90% of items produced by a certain process are non-defective. An improvement in the process is being considered that they feel will lower the proportion of defective below the current 10%. In an experiment 100 items are produced with the new process ...
ch 7 practice test Section 7.2 Solve the problem
ch 7 practice test Section 7.2 Solve the problem

... D) 394 < µ < 406 16) A laboratory tested 90 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with = 16.0 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, µ, of all such eggs. A) 227 < µ < 233 B) 226 < µ < 232 C) 228 < µ < 234 ...
analysis of variance and experimental design
analysis of variance and experimental design

Standardized Difference: An Index to Measure the Effect Size
Standardized Difference: An Index to Measure the Effect Size

... Cohen (1962) proposed an effect size index (Cohen’s d) for the comparison of two sample means [1]. This quantity can be interpreted as a sample-based estimate of the strength of the relationship between two variables in a statistical population; more specifically, it can be interpreted as “a measure ...
Final report
Final report

UNIT 4 Section 8 Estimating Population Parameters
UNIT 4 Section 8 Estimating Population Parameters

1-Review of Basic St..
1-Review of Basic St..

Chapter 10 - Introduction to Estimation
Chapter 10 - Introduction to Estimation

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One-Sample T

... a. Double the area in the tail beyond zobs. Why? b. Use the same decision rule ...
sampling - AuroEnergy
sampling - AuroEnergy

Lecture #18
Lecture #18

AFM Final Exam Review Answers
AFM Final Exam Review Answers

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Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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