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16 Cards in this Set
- Front
- Back
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Do hypothesis tests and C.I. estimates result in the same conclusion when testing two dependent pop. means?
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yes, since they use the same distribution and have the same standard error.
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When using the C.I. method for testing two dependent pop. means, we reject H₀ if:
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the C.I. limits do not include zero.
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d =
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individual difference between the two values in a single matched pair.
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µ(sub d) =
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mean value of the differences (d) for the population of all pairs of data.
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d̅ =
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mean value of the differences (d) for the paired sample data.
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s(sub d) =
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standard deviation of the differences (d) for the paired sample data.
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What are the requirements for testing a claim or constructing a C.I. for two dependent pop. means?
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1) The sample data are dependent.
2) The samples are simple random samples. 3) The number of pairs is > 30 or the pairs of values have differences that are from a pop. having a normal distr. |
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How do you find d̅ and S(sub d)
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1) Enter paired values in L₁ and L₂.
2) stat, edit, (highlight L₃), 2nd L₁, minus sign, 2nd L₂, enter 3) stat, calc, 1-var stat, L₃. x̅ = d̅ sₓ = S(sub d) |
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What is the H₀ when testing two dependent pop. means?
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H₀: µd = 0
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TI-84 to test hypotheses and est. C.I. for two Dep. pop. means:
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TI-84 for C.I.: stat, test, TInt, Data, L₃, enter.
TI-84 for hypothesis test: stat, test, TTest, Data, µ₀: 0, L₃, enter. |
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Interpret the 98% confidence level:
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There is a 98% confidence that the true mean of differences for a population of paired values is between (state lower and upper C.I. limits).
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What does 98% confidence mean?
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About 98% of all possible random matched-pair samples of given size n = (state what n is) will produce confidence intervals that contain the true mean of differences for a population of paired values.
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Which distribution is used when testing hypotheses about two dependent pop. means?
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student's t distribution
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n =
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number of pairs of data.
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df =
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(n − 1)
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What is the procedure for hypothesis testing two dependent means?
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1) Verify the requirements are met.
2) Find OC, CC, H₀, and Hₐ. 3) Find the tcr value. 4) Find d̅ and S(sub d) 5) Calculate the test statistic. 6) Find the P-v. 7) Make statement. |
