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Ok class for today's lesson we are going to determine the appropriate tool when the variance is know, variance is unknwon,and when central limit theorem is used.
Wow! this topic is interesting.
Im very interested with today's lesson.
I know right!
When the population variances are known, the difference of the means has a normal distribution. The variance of the difference is the sum of the variances divided by the sample sizes.
VARIANCE IS KNOWN
What is a t-test?A t-test is a type of inferential statistics used to determine if there is a significant difference between the means of two groups, which may be related in certain features.
On the other hand, when the Population Variance is Unknown, the appropriate test statistic to used is t-test.
REMEMBER:T-test is the appropriate tool to used when:The population standard deviation is unknwon .The sample standard deviation (s) is kown.The population is normal or nearly normally distributed.The sample size is less than 30 (n< 30 ).
Lastly, when the central limit theorem (CLT) is used, the appropriate test statistic is using z-test by replacing population standard deviation by sample standard deviation (s) in the formula.
So, that is all for our lesson today. And, see you all on our next meeting. Goodbye class!.

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