Flashcards
SM Statistics
Cards in this deck (22)
- 1HypothesisA claim about a population parameter
- 2The Null Hypothesis(Ho)
- the status quo
- begin with the assumption that the null hypothesis is true and try to disprove it - 3When do you reject the null hypothesis?If there is sufficient evidence against the status quo
- 4The Alternative Hypothesis(H1)
- the opposite of the null hypothesis
- challenges the status quo - 5Notation used for null hypothesisAlways "="
- 6Notation used for alternative hypothesis≠ or < or >
- 7A hypothesis test- based on a sample
- the sample provides evidence to either support of reject Ho - 8If population is distributed normally....the sample mean is distributed normally
- 9For large samples from any distribution (not necessarily normal)...the sample mean is distributed approximately normal by the Central Limit Theorem
- 10If it is unlikely to get a sample mean of x¯ (measured sample mean) if in fact the population mean were μ, then?reject the null hypothesis
- 11Type 1 Error(α): rejecting null when it is actually true
- 12Type II Error(β): not rejecting null when it is actually false
- 13What does the test statistic calculate?How many standard errors what you have observed is away from that stated in the null
- 14p ValueThe probability of obtaining a test statistic at least as extreme (≥ or ≤ or both) than the observed sample value, given Ho is true
- How likely is what you have observed if the null were true - 15Rule for p Value ApproachIf p is less than α, reject Ho
If p is ≥ α , DO NOT reject Ho
--> If the p value is low, reject Ho - 16For random variables X and Y and constants a and b: E(aX+bY) = ? Var(aX+bY) = ?E(aX+bY) = aE(X)+bE(Y)
Var(aX+bY) = a^2Var(X)+b^2Var(Y) if X and Y are independent - 17If X is a normally distributed random variable with mean μ and standard deviation σ, then the distribution of the sample mean X¯ will be?also normal
- 18If X is a normally distributed random variable with mean μ and standard deviation σ, then the distribution of the sample mean X¯ will have mean=?E(X¯)=μ
- 19If X is a normally distributed random variable with mean μ and standard deviation σ, then the distribution of the sample mean X¯ will have standard deviation=?
- 20An approximate 95% confidence interval for μ is given by
- 21For a 95% confidence interval for μ, the margin of error is given by
- 22A 95% confidence interval for a population mean μ will have margin of error equal to a specified value of M when the sample size is
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- Victorian Certificate of Education Mathematics Flashcards on SM Statistics, created by Francis Dillon on 21/01/2022.
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- Francis Dillon
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