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- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
- On the other hand,#160;when the Population Variance is Unknown, the appropriate test statistic to used is#160;t-test.
- What is a t-test?A t-test is a type of inferential statistic used to determine if there is a significant difference between the means of two groups, which may be related in certain features.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
- REMEMBER:T-test is the appropriate tool to used when:The population standard deviation#160;(σ) is unknown.The sample standard deviation (s) is known.The population is normal or#160;nearly normally#160;distributed.The sample size is less than 30 (n30).
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
- Lastly,#160;when the Central Limit Theorem (CLT) is used, the appropriate test statistic is#160;using z-test by replacing#160;population standard#160;deviation (σ) by sample#160;standard deviation (s) in#160;the formula.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
- REMEMBER:Z-test is the appropriate tool to used in central limit theorem when:If the population is normally distributed or the sample size is large and the true population means μ =#160;μo, the z has a standard normal distribution.The sample size is extremely large and the variance (σ2)#160;is known or unknown.The sample standard deviation (s) may be used as an estimate of the population standard deviation#160;(σ)#160;#160;when the value of#160;σ#160;is unknown.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
- Z-testn ≥ 30,#160;#160;σ is knownn ≥ 30,#160;#160;σ is unknown (Central Limit Theorem)n 30,#160;σ is known
- So, that is all for our lesson today. Thank you for listening. And, see you all on our next meeting. Goodbye class!
- T-testn 30,#160;#160;σ is not knownn ≥ 30,#160;#160;s is known#160;
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