A bottling plant produces one-litre bottles of soda. The actual distribution of volumes of soda dispensed to bottles is Normal, with mean μ = 0.956 litre and standard deviation σ = 0.05 litre. We randomly select six (6) bottles and measure the volume of soda in each. The results of these six measurements (all in litre units) are
1.05, 1.04, 1.01, 1.06, 0.94, 0.99
Which of the following statements are true about constructing 90% confidence intervals from samples such as this one?
Select all correct answers:

Question

A bottling plant produces one-litre bottles of soda. The actual distribution of volumes of soda dispensed to bottles is Normal, with mean μ = 0.956 litre and standard deviation σ = 0.05 litre. We randomly select six (6) bottles and measure the volume of soda in each. The results of these six measurements (all in litre units) are 
 1.05,  1.04,  1.01,  1.06, 0.94,  0.99 
 Which of the following statements are true about constructing 90% confidence intervals from samples such as this one? 
 Select all correct answers:

Accepted Answer

If we construct 10 confidence intervals for μ each based on a random sample of six bottle volumes, about nine of them will capture μ.

Accepted Answer

In taking very many random samples of six bottle volumes, each time computing a 90% confidence interval for the average volume, 90% of these confidence intervals will capture μ.

Answer

In taking very many random samples of six bottle volumes, each time computing a 90% confidence interval for the average volume, 90% of these confidence intervals will be the same.

Answer

There's a 0.90 probability that μ is contained in the interval.

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