Question

1. A nutrition lab tested 36 “reduced sodium” hot dogs and used the results to generate a 95% confidence interval on the mean sodium content (in milligrams).  The resulting interval is       (298.3, 322.9).  Based on this interval, which of the following statements is correct?

1. We are certain that the true mean sodium content of “reduced sodium” hot dogs is between 298.3 and 322.9 mg.
2. It is unlikely that the true mean sodium content of “reduced sodium” hot dogs is 330 mg.
3. We are 95% confident that a randomly-selected “reduced sodium” hot dog will contain between 298.3 mg and 322.9 mg of sodium.
4. 95% of all “reduced sodium” hot dogs will contain between 298.3 mg and 322.9 mg of sodium.
5. 95% of the “reduced sodium” hot dogs in the sample contained between 298.3 mg and 322.9 mg of sodium.

Answer 1

We know that the confidence interval means how much confident about your data.

Confidence interval tells us how accurate your estimate of the mean is likely to be.

Confidence interval is specific range in which unknown population parameter will be lie.

Here we calculate the 95% confidence interval

So here we are 95% confident that our data will lie within the interval.

So the correct option is C) We are 95% confident that that a randomly-selected “reduced sodium” hot dog will contain between 298.3 mg and 322.9 mg of sodium.