HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
When the population variance is unknown, the t-test is the appropriate test statistic to use.
What is a t-test?A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are related in some way.
HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
REMEMBER:T-test is the appropriate tool to used when:The standard deviation (σ) of the population is unknown.The sample standard deviation (s) is known.The population distribution is normal or nearly normal.The sample size is under 30 (n30).
HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
Finally, when applying the Central Limit Theorem (CLT), the appropriate test statistic is z-test, with population standard deviation () replaced by sample standard deviation (s) in 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:The z has a standard normal distribution if the population is normally distributed or the sample size is large and the true population means μ = μoThe sample size is enormous, and the variance (σ2) is either known or unknown.When the value of σ is unknown, the sample standard deviation (s) can be used to estimate the population standard deviation(σ).
HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
That concludes our lesson for today. Thank you for your time. And I hope to see you all at our next meeting. Hello, class!
Z-testn ≥ 30, σ is knownn ≥ 30, σ is unknown (Central Limit Theorem)n 30, σ is known
T-testn 30, σ is not knownn ≥ 30, s is known
30 मिलियन से अधिक स्टोरीबोर्ड बनाए गए
कोई डाउनलोड नहीं, कोई क्रेडिट कार्ड नहीं, और कोशिश करने के लिए किसी लॉगिन की आवश्यकता नहीं है!