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• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
• ﻿When the Population Variance ﻿ is Unknown, the appropriate test statistic to used is t-test.
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
• ﻿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.
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• REMEMBER:The T-test is the right tool to employ when:The standard deviation of the population (σ) is unknown.The standard deviation (s) of the sample is known.The population is normally distributed or almost so.The number of participants is fewer than 30 (n30).
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• ﻿﻿﻿﻿﻿﻿﻿HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
• ﻿﻿﻿﻿﻿Finally, when applying the Central Limit Theorem (CLT), the appropriate test statistic is the z-test, which is obtained by substituting sample standard deviation (s) in the formula for population standard deviation (σ).
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• 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 high, and the actual population means μ = μ0.The sample size is enormous, and the variance (σ2) is either known or unknown.When the value of is unknown, the sample standard deviation (s) can be used to approximate the population standard deviation (σ).
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• Z-testn ≥ 30, σ is knownn ≥ 30, σ is unknown (Central Limit Theorem)n 30, σ is known
• GANDING, CARL JIAN B. STEM 4 MALIKHAIN
• That concludes our lesson for today. Thank you for your time. And I hope to see everyone at our next meeting. Goodbye, class!
• Goodbye and thank you sir Jose!
• T-testn 30, σ is not knownn ≥ 30, s is known
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