suppose a random variable has population mean 141 and population standard deviation 8.85. what is the standard error of the sample mean of a sample of 43 observations? (round to 2 decimal places.)

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Kimberlyharris8893idn Kimberlyharris8893idn

01-12-2022
Mathematics

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suppose a random variable has population mean 141 and population standard deviation 8.85. what is the standard error of the sample mean of a sample of 43 observations? (round to 2 decimal places.)

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Yogeshkumariidn Yogeshkumariidn · Answer 1 · 2022-12-05T11:05:47-05:00

The standard error of the sample mean of a given sample of 43 observations with standard deviation 8.85 is equal to 1.35 ( round to 2 decimal places).

As given in the question,

Population mean of the random variable 'μ' = 141

Standard deviation 'σ' = 8.85

Sample size 'N' = 43 observations

Standard error of the sample mean

= σ / √N

= 8.85 / √43

= 8.85 / 6.56

= 1.349

= 1.35 (round to 2 decimal places )

Therefore, for the given standard deviation and sample size the standard error of the sample mean is equal to 1.35.

Learn more about standard deviation here

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