A bottling plant produces one-liter bottles of soda. The actual distribution of

Question

A bottling plant produces one-liter bottles of soda. The actual distribution of volumes of soda dispensed to bottles is normal with mean . We randomly select six bottles and measure the volume of soda in each. The results of these six measurements (al in liter units) are 1.05 1.04 1.01 1.06 0.94 and 0.99 Based on these data, a 90% confidence interval for is (0.978, 1.052) Which of the following is true A. Theres a 0.90 probability that is between 0.978 liters to 1.052 liters B. In taking very many random samples of six bottle volumes, each time computing a 90% confidence interval for the mean volume, 90% of confidence intervals will capture . C. If we construct 10 confidence intrevals for , each based on a random sample of six bottle volumes, exactly nine of them will capture .

Explanation / Answer

Interpretations:
1) We are 90% sure that the interval (0.978, 1.052) contains the true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 90% of these intervals will contains the true population mean  

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

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