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Critical Value for Small Sample Size and Skewed Data

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The question asks to determine the appropriate critical value given a confidence level of 90%, sample size of 22, and that the data appears to be skewed. Neither the normal nor t distribution applies because the sample size is small and there is strong skewness in the data.

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Do one of the following as appropriate. A) Find the critical value za/2, b)find the critical value ta/2, c) state the neither the normal nor the t distribution applies. Confidence level 90%; n = 22; s is unknown appears to be much skewed. Find the critical value. a.Za/2 = 1.28 b.Za/2 =1.65 c.Ta/2 = 1.721 d.Ta/2 = 1.323 e.Neither normal nor t distribution applies Solution Given that the sample size is fairly small (less than 40) and there is strong skewness, e would be correct. Neither distribution applies.

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Critical Value for Small Sample Size and Skewed Data

  • 1. Do one of the following as appropriate. A) Find the critical value za/2, b)find the critical value ta/2, c) state the neither the normal nor the t distribution applies. Confidence level 90%; n = 22; s is unknown appears to be much skewed. Find the critical value. a.Za/2 = 1.28 b.Za/2 =1.65 c.Ta/2 = 1.721 d.Ta/2 = 1.323 e.Neither normal nor t distribution applies Solution Given that the sample size is fairly small (less than 40) and there is strong skewness, e would be correct. Neither distribution applies.