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• Hello! My name is John and I am standing here to report on how to use the appropriate statistic tool on different situations.
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:ON DIFFERENT SITUATIONS
• A Report of Group ATEEEEE......
• First, when the population variance is unknown, the appropriate test statistic to use is the z-test.
• First, when the population variance is known and you are dealing with a normally distributed population, the appropriate test statistic is using z-test. This test is appropriate when you have a large enough sample size.
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
• A Report of Group ATEEEEE......
• 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 true population means μ = μo, the z has a standard normal distribution.The sample size is extremely large and the variance (σ2) is known or unknown.The sample standard deviation (s) may be used as an estimate of the population standard deviation (σ) when the value of σ is unknown.
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:CENTRAL LIMIT THEOREM
• A Report of Group ATEEEEE......
• What is a 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 groups, which may be related in certain features.
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
• A Report of Group ATEEEEE......
• REMEMBER:The T-test is the appropriate ﻿tool to used when:The population standard deviation (σ) is unknown.The sample standard deviation (s) is known.The population is normal or nearly normally distributed.The sample size is less than 30 (n≥30).
• HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS UNKNOWN
• A Report of Group ATEEEEE......
• Z-testn ≥ 30, σ is knownn ≥ 30, σ is unknown (Central Limit Theorem)n 30, σ is known
• So, that is all for our reporting today. On behalf of Group ATEEEEE...... My name is John and Thank you for listening.
• T-testn 30, σ is not knownn ≥ 30, s is known
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