Good morning class, for today's lesson, I will teach you how to determine the appropriate tool when the variance is known, variance is unknown, and the central limit theorem is used.
I kinda feel nervous but I'm excited tho.
ok ma'am
We're excited to know those.
Ok, who knows here what is the appropriate test statistic will we going to used when the variance is known?
Dhan: Ma'am it's Z-test
Well, that is correct. On the other hand, when the population variance is unknown, the appropriate test statistic to used is 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 group, which may be related in certain features.
Erica: How to determine the appropriate tool when the central limit theorem is used ma'am?
Who have an idea?
Jhonna: Ma'am, when a central limit theorem is used, the appropriate tool is z-test by replacing population standard deviation by sample standard deviation in the formula.
students: ahhhh
That's all for today, thank you for listening and see you all next meeting.
Very Good, but 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 population meansμ=μ0,the z has a standard normal distribution or sample size extremely large and the variance is known or unknown. Another the sample standard deviation may be used as an estimate of the population standard deviation when the valueσ unknown.