The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. Measurements on specimens of amber 75 million years ago give these percents of nitrogen: 63.4, 65.0, 64.4, 63.3, 54.8, 64.5, 60.8, 49.1, 51.0. Construct a 95% confidence interval for the true average % nitrogen in the atmosphere at this time.

Uriah Molina

Uriah Molina

Answered question

2022-11-09

Computing 95% confidence interval
The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. Measurements on specimens of amber 75 million years ago give these percents of nitrogen: 63.4, 65.0, 64.4, 63.3, 54.8, 64.5, 60.8, 49.1, 51.0. Construct a 95% confidence interval for the true average % nitrogen in the atmosphere at this time.

Answer & Explanation

yen1291kp6

yen1291kp6

Beginner2022-11-10Added 12 answers

Step 1
Since you have nine samples, the degrees of freedom is equal to n 1 = 8.
You are using the two-tails confidence interval with α = 0.05 and therefore one half of the tail is equal to α = 0.05.
Step 2
Therefore, you must read off the value t 8 , 0.025 , which, according to the table, is approximately equal to 2.306.

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