STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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What are the conditions for finding a confidence interval for a mean? Select all that apply.
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n ≥ 30
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The sample is a random sample
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The population is normally distributed if n < 30
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The sample must be small
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Explanation:
Detailed explanation-1: -A sample size of 30 is fairly common across statistics. A sample size of 30 often increases the confidence interval of your population data set enough to warrant assertions against your findings.4 The higher your sample size, the more likely the sample will be representative of your population set.
Detailed explanation-2: -The general form for a confidence interval for a single population mean, known standard deviation, normal distribution is given by X ¯ − Z ( n ) ≤ ≤ X ¯ + Z ( n ) X ¯ − Z ( n ) ≤ ≤ X ¯ + Z ( n ) This formula is used when the population standard deviation is known.
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