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# How to Solve Point Estimate and Confidence Interval Problem?

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Let X equal the weight in grams of a 52-gram snack pack of candies. Assume that the distribution of X is N(Î¼, 4). A random sample of n = 10 observations of X yielded the following data:

55.95 56.54 57.58 55.13 57.48
56.06 59.93 58.30 52.37 58.46

(a) Give a point estimate for Î¼ and find the endpoints for a 95% confidence interval for Î¼.

(b) Based on the data, what is the probability that an individual snack pack selected at random is filled with less than 52 grams of candy?

This is one of the example problems in our review packet to prepare for the midterm exam. The formulas in the textbook chapter are kind of confusing and I'm not sure what the correct steps are to solve this type of problem. Any help would be appreciated.

https://brainmass.com/statistics/confidence-interval/solve-point-estimate-confidence-interval-problem-532727

#### Solution Preview

Let X equals the weight in grams of a 52-gram snack pack of candies. Assume that the distribution of X is N(Î¼, 4). A random sample of n = 10 observations of X yielded the following data:

55.95 56.54 57.58 55.13 57.48
56.06 59.93 58.30 52.37 58.46