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kramer
3 years ago
14

14. Use the given degree of confidence and Sample data to construct a confidence interval for the population mean. Assume that t

he population has a normal distribution.
n=10, x=8.7, s=3.3, 95% confidence
I know the answer is 6.34<μ<11.06 but I dont know how to get there
Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Step-by-step explanation:

Confidence interval = mean ± margin of error

CI = μ ± ME

The mean is μ = 8.7.

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 9 degrees of freedom, CV = 2.262.

SE = s / √n

SE = 3.3 / √10

SE = 1.04

The margin of error is:

ME = 2.262 × 1.04

ME = 2.36

CI = 8.7 ± 2.36

CI = (6.34, 11.06)

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<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

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Step 2. Let's choose x = 8.4

Substituting into the equation:

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Step 3. Let's choose x = 8.3

Substituting into the equation:

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