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# Sample size for mean and Proportion

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A consumer agency has retained an independent testing firm to
examine a television manufacturer's claim that its 25-inch console
model consumes just 110 watts of electricity. Based on a preliminary study, the population standard deviation has been estimated as 11.2 watts for these sets. In undertaking a larger
study, and using a simple random sample, how many sets
must be tested for the firm to be 95% confident that its sample
mean does not differ from the actual population mean by more
than 3.0 watts?

provide the answers but show in complete detail how you arrived at the
answers, step-by-step, from the beginning to the end of the solution.

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https://brainmass.com/statistics/sampling/sample-size-mean-proportion-339628

#### Solution Preview

Sample Size: Estimating the Population Mean/Proportion
A consumer agency has retained an independent testing firm to examine a television manufacturer's claim that its 25-inch console model consumes just 110 watts of electricity. Based on a preliminary ...

#### Solution Summary

Step by step method for calculation of sample size for mean and population proportion.

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