A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being 16. What is the 68% confidence interval for the mean of the population?

Respuesta :

(115,123) is the population mean's 68% confidence interval when a population was sampled using a 64-person sample, with a mean value of 119 and a standard deviation of 16.

Given that,

A population was sampled using a 64-person sample, with a mean value of 119 and a standard deviation of 16.

We have to find what is the population mean's 68% confidence interval.

We know that,

For a 95% confidence interval and 63 degrees of freedom, the critical t value is 1.998.

The population mean's 95% confidence interval is as follows:

(119-1.998×16/√64,119+1.998×16/√64)

=(115,123)

Therefore, (115,123) is the population mean's 68% confidence interval when a population was sampled using a 64-person sample, with a mean value of 119 and a standard deviation of 16.

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