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To determine how well a new method of teaching vocabulary is working in a certain elementary school, education researchers plan to give a vocabulary test to a sample of 100 sixth graders. It is known that scores on this test have a standard deviation of 8. The researchers found the sample mean to be 100. Construct a 99% confidence interval for the population mean. Round your answers to whole numbers.

Question
To determine how well a new method of teaching vocabulary is working in a certain elementary school, education researchers plan to give a vocabulary test to a sample of 100 sixth graders. It is known that scores on this test have a standard deviation of 8. The researchers found the sample mean to be 100. Construct a 99% confidence interval for the population mean. Round your answers to whole numbers.
check_circleAnswer
Step 1

Given data

Sample size(n) = 100

Sample mean = 100

Population standard deviat...

Significance level(a) = 1-0.99 = 0.01
Confidence interval is given by
t Za X
Vn
C.I
8
=> 100 ± 2.576 x
V100
(97.9392, 102.0608)
Converting to whole numbers
C.I (98,102)
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Significance level(a) = 1-0.99 = 0.01 Confidence interval is given by t Za X Vn C.I 8 => 100 ± 2.576 x V100 (97.9392, 102.0608) Converting to whole numbers C.I (98,102)

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Math

Statistics

Hypothesis Testing

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