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If X=95​, S equals 6​, and n equals 16, and assuming that the population is normally​...

If X=95​, S equals 6​, and n equals 16, and assuming that the population is normally​ distributed, construct a 95 % confidence interval estimate of the population​ mean.

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Answer #1

Given,

Sample mean ,

Sample standard deviation,

Sample size,

Confidence interval,

We want to generate a 95% confidence interval estimate for an unknown population mean.

Since n = 15(<30), we will use t- distribution to compute the 95% confidence interval of population mean.

The critical value for α=0.05 and df = n−1 =14 is tc​=2.145

The corresponding confidence interval is computed as shown below:

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