Question: Purdy's makes a new chocolate bar. From a simple random sample of 100 bars, the average weight of the 100 bars is 161 grams. We

Purdy's makes a new chocolate bar. From a simple random sample of 100 bars, the average weight of the 100 bars is 161 grams. We know that the standard deviation of the weight of the new bars is 3 grams. We construct a 95% confidence interval for the mean weight of all the new bars: 16120.3161\pm 2*0.3

16120.3

Which of the choice(s) below is the correct interpretation? (select all that apply)

There is 95% chance that the true mean weight of all Purdy's new chocolate bars would fall between 160.4 and 161.6 grams.

95% of simple random samples of size 100 would have the sample mean weight within 2*0.3 grams of 161.

Over the collection of all the 95% confidence intervals, 95% of the confidence intervals would contain the true mean weight of all Purdy's new chocolate bars.

There is 95% chance that the true mean weight of all Purdy's new chocolate bars would not fall between 160.4 and 161.6 grams.

None of the statements are correct

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