The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
Given,
Number of social networking sites being surveyed = 6
Sample mean = 9.05 million visitors per month
Standard deviation = 5 million
We have to find the 98% confidence interval of the true mean;
Here,
Sample mean, x = 9.05 million
Standard deviation, σ = 5 million
Sample size, n = 6
z score of 98% is 2.326
Now,
9.05 million - 2.326 × (5 million / √6) < true mean < 9.05 million + 2.326 × (5 million / √6)
43.02 million < true mean < 13.80
Therefore,
The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
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