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Answer:
Step-by-step explanation:
The property of 30°-60°-90° :
The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.
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.