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You measure 27 textbooks' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 7.3 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.

User Tamarisk
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Final answer:

To construct a 95% confidence interval for the true population mean textbook weight, you can use the formula CI = x ± (z * σ/√n), where CI is the confidence interval, x is the sample mean, z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Step-by-step explanation:

To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:

CI = x ± (z * σ/√n)

where CI is the confidence interval, x is the sample mean, z is the z-score corresponding to the desired confidence level (in this case 95%), σ is the population standard deviation, and n is the sample size.

Given that the sample mean is 31 ounces, the population standard deviation is 7.3 ounces, and the sample size is 27 textbooks, we can calculate the confidence interval as follows:

CI = 31 ± (1.96 * 7.3/√27)

Calculating this expression will give us the lower and upper bounds of the confidence interval, which represent the range within which we can be 95% confident that the true population mean textbook weight lies.

User Gabriel Lopes
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