# statistics

posted by .

M&M plain candies have weights that are normally distrbuted with a mean weight of 0.8565 gram and a standard deviation of 0.0518 gram. A random sample of 100 M&M candies is obtained from a package containing 465 candies: the package label states that the net weight is 396.9 grams. If every package has 465 candies, the mean weight of the candies must exceed 396.9/465=0.8535 for the net contents to weigh at least 3969.9 grams.
A. If 1 M&M plain cand is randomly selected, how likely is it that it weighs more than 0.8535 gram?
B. If 465 M&M plain candies are randomly selected, how likely is it that their mean weight is at least 0.8535 gram?

• statistics -

A. Z = (score-mean)/SD (for distribution of scores)

B. Z = (mean1 - mean2)/standard error (SE) of difference between means (for distribution of means)

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√(n-1)

Since only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to these Z scores.

## Similar Questions

1. ### Statistics

M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color Purple Yellow Red Orange Green Blue Brown Percentage 18% 19% …
2. ### statistics

In a simple random sample of 50 plain M&M candies, it is found that none of them are blue. We want to use a 0.01 significance level to test the claim of Mars, Inc., that the proportion of M&M candies that are blue is equal to 0.10.
3. ### statistics

*Give all probabilities to four decimal places. Bowl #1 contains 4 grape candies, 5 lemon candies, 6 cherry candies and 5 raspberry candies. Bowl #2 contains 8 grape candies, 5 lemon candies, 4 cherry candies and 3 raspberry candies. …
4. ### Math

A bag contains 8 cinnamon candies, 16 peppermint candies, and 7 licorice candies. You are going to reach into the bag and pull out some candies without looking. What is the least number of candies that you must pull out, to be sure …
5. ### Algebra

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?
6. ### statistics

Please read and use the following information to answer questions 11, 12, and 13: Big packages of M&M Plain Candies have a mean weight of 16 ounces with a standard deviation of .15 ounces. A chocolate loving researcher decides to a …
7. ### statistics

A candy company claims that 11% of its plain candies are orange, and a sample of 200 such candies is randomly selected a. find the mean and standard deviation for the number of orange candies in such groups of 100. use the formulas …
8. ### statistics

A candy company claims that 13% of its plain candies are orange, and a sample of 100 such candies is randomly selected. Find the mean and the standard deviation for the number of orange candies in such groups of 100. I do not get the …
9. ### Statistics/Probability

A certain brand of candies have a mean weigh of 0.8576 g and a standard deviation of 0.0523. A sample of these candies came from a package containing 447 candies,and the package label stated the net weight is 381.3 g. (If every package …
10. ### statistics

Individual M&M plain candies have weights that are normally distributed with a mean weight of 0.8565 g and a standard deviation of 0.0518 g. If you randomly select 465 M&M plain candies, what is the probability that their mean weight …

More Similar Questions