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- Ah Teacher! Just because I can't understand the lesson before.
- Thank you Teacher!
- Oh boy you should told me sooner. Well don't worry I will teach you tomorrow. Just go to school early so I have time to teach you.
- Hey Kid! Why do you look upset?
- What part of the lesson you can't understand yesterday?
- Ah! Its to know how to determine the appropriate tool when the variance is known, variance is unknown, and when Central Limit Theorem is used.
- When the Popular Variance is known, the appropriate test statistic to used is z-test.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
- A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large. A z-test is a hypothesis test in which the z-statistic follows a normal distribution. A z-statistic, or z-score, is a number representing the result from the z-test.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
- Z-test is the appropriate tool to used when the popular variance is known because:Population is normally distributed.The sample size is greater than or equal 30(𝑛≥30)Population standard deviation (𝜎) is known.
- On the other hand, when the Population Variance is Unknown, the appropriate test statistic to used is t-test.
- HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
- 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
- T-test is the appropriate tool to use when the popular variance is unknown because:Population is normal or nearly normally distributed.The sample size is less than 30 (n<30).Sample standard deviation (s) is known.Population standard deviation (𝜎) is unknown.
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