Which of the following statements about population mean mu is false? When the po

Question

Which of the following statements about population mean mu is false? When the population is not approximately normal and n = 30, the confidence interval is approximately X plusminus Z alpha/x [5/Squareroot n] When the population standard deviation sigma is known and n > 30, the confidence interval is approximately X plusminus Z alpha/2 sigma/Squareroot n When the population standard deviation is unknown and n > 30, the confidence interval is approximately X plusminus Z alpha/2 [5/Squareroot n] When the population is approximately normal, the confidence interval can be obtained by using t-table method.

Explanation / Answer

Answer a

Statement a is false.

When population is not normal and sample size is small < 30, z distribution should not be used.

We use the t-distribution when the sample size is small, when the underlying distribution is normal. The t distribution should not be used with small samples from populations that are not approximately normal.

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