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he s.d. of the sampling distribution of sample mean for the population with s.d. 0.5, population size 122  and sample size 22 is*0.5/11None of these5/225/(11√22)

Question

he s.d. of the sampling distribution of sample mean for the population with s.d. 0.5, population size 122  and sample size 22 is*0.5/11None of these5/225/(11√22)

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Solution

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated using the formula:

Standard Error = σ/√n

where σ is the standard deviation of the population and n is the sample size.

Given that the standard deviation of the population (σ) is 0.5 and the sample size (n) is 22, we can substitute these values into the formula:

Standard Error = 0.5/√22

Therefore, the standard deviation of the sampling distribution of the sample mean for the population with a standard deviation of 0.5, a population size of 122, and a sample size of 22 is 0.5/√22.

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