CK-12 Probability and Statistics - Advanced
http://www.ck12.org Chapter 8. Hypothesis Testing 8.1 Hypothesis Testing and the P-Value Learning Objectives Develop null and a ...
http://www.ck12.org Chapter 4. Discrete Probability Distribution Standard Deviation:σ= √ n pq= √ n p( 1 −p) Example: A poll of t ...
8.1. Hypothesis Testing and the P-Value http://www.ck12.org In statistics, the hypothesis to be tested is called thenull hypothe ...
4.4. The Binomial Probability Distribution http://www.ck12.org Using the complementation rule, p(x> 12 ) = 1 −[p( 1 )+p( 2 )+ ...
http://www.ck12.org Chapter 8. Hypothesis Testing Solution: H 0 :μ= 3. 2 Ha:μ 6 = 3. 2 Our null hypothesis states that the popul ...
http://www.ck12.org Chapter 4. Discrete Probability Distribution Thebinomial probability distributionis: p(x) = ( n x ) px( 1 ...
8.1. Hypothesis Testing and the P-Value http://www.ck12.org H 0 :μ= 1100 Ha:μ 6 = 1100 In this scenario, our null hypothesis sta ...
4.5. The Poisson Probability Distribution http://www.ck12.org 4.5 The Poisson Probability Distribution Learning Objectives Know ...
http://www.ck12.org Chapter 8. Hypothesis Testing Remember that since we have a random sample from the population, we do not exp ...
http://www.ck12.org Chapter 4. Discrete Probability Distribution λ=The mean number of events during the time, distance, volume o ...
8.1. Hypothesis Testing and the P-Value http://www.ck12.org Solution: First, we develop our null and alternative hypotheses: H 0 ...
4.5. The Poisson Probability Distribution http://www.ck12.org p(x≥ 4 ) =p( 4 )+p( 5 )+p( 6 )+... Using the complement rule, P(x≥ ...
http://www.ck12.org Chapter 8. Hypothesis Testing A true hypothesis is rejected. A true hypothesis is not rejected. A false hyp ...
http://www.ck12.org Chapter 4. Discrete Probability Distribution This is of course an infinite sum and it is impossible to compu ...
8.1. Hypothesis Testing and the P-Value http://www.ck12.org H 0 :μ= 250 Ha:μ= 253 By specifying a value for the alternative hypo ...
4.5. The Poisson Probability Distribution http://www.ck12.org p(x) = λxe−λ x! x= 0 , 1 , 2 , 3 ,... μ=λ σ^2 =λ where λ=The mean ...
http://www.ck12.org Chapter 8. Hypothesis Testing To evaluate the sample mean against the hypothesized population mean, we use ...
http://www.ck12.org Chapter 4. Discrete Probability Distribution 4.6 The Geometric Probability Distribution Learning Objectives ...
8.1. Hypothesis Testing and the P-Value http://www.ck12.org 2.H 0 :μ=19,Ha:μ 6 = 19 Fail to Reject, Reject 4.Z= 2. 325 5.H 0 :μ ...
4.6. The Geometric Probability Distribution http://www.ck12.org p=Probability of anSoutcome x=The number of trials until the fir ...
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