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The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''
<h2>Given that,</h2>A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
<h3>We have to find,</h3>Which of the following values is outside the 99% confidence interval for the population mean?
<h3>According to the question,</h3>A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
Sample space n = 85,
Mean = 146
And standard deviation = 34
Then, The standard error of the sample is,
Then, z-critical value for 99% is 2.58,
Margin of error = ±9.515
Confidence interval for lower bound is,
= 146 - 9.515 = 136.485
And confidence interval upper bound is,
= 146 + 9.515 = 155.515
Here, 135 is less than the lower bound,
Therefore, 135 does not lie within a 99% confidence interval.
For more details about Lower bound refer to the link given below.