The mean percentage of a population of people eating out at least once a week is 57%, with a standard deviation of 3.5%. Assume
that a sample size of 40 people was surveyed from the population an infinite number of times. In which interval will 95% of the sample means occur?
1 answer:
95% C.I. = mean + or - 1.96(standard deviation / sqrt(sample size))
95% C.I. = 57 + or - 1.96(3.5/sqrt(40) = 57 + or - 1.085 = 57 - 1.085 to 57 + 1.085 = 55.92 to 58.09
Therefore, 95% of the mean will occur in the interval 55.92 to 58.09
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Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.
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