The weights of a certain brand of candies are normally distributed with a mean weight of 0.8563 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 456 ​candies, and the package label stated that the net weight is 389.7 g.​ (If every package has 456 ​candies, the mean weight of the candies must exceed StartFraction 389.7 Over 456 EndFraction equals0.8545 g for the net contents to weigh at least 389.7 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8545 g. The probability is nothing. ​(Round to four decimal places as​ needed.) b. If 456 candies are randomly​ selected, find the probability that their mean weight is at least 0.8545 g. The probability that a sample of 456 candies will have a mean of 0.8545 g or greater is nothing. ​(Round to four decimal places as​ needed.) c. Given these​ results, does it seem that the candy company is providing consumers with the amount claimed on the​ label? ▼ Yes, No, because the probability of getting a sample mean of 0.8545 g or greater when 456 candies are selected ▼ is is not exceptionally small.

Question
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8563 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 456 ​candies, and the package label stated that the net weight is 389.7 g.​ (If every package has 456 ​candies, the mean weight of the candies must exceed StartFraction 389.7 Over 456 EndFraction equals0.8545 g for the net contents to weigh at least 389.7 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8545 g. The probability is nothing. ​(Round to four decimal places as​ needed.) b. If 456 candies are randomly​ selected, find the probability that their mean weight is at least 0.8545 g. The probability that a sample of 456 candies will have a mean of 0.8545 g or greater is nothing. ​(Round to four decimal places as​ needed.) c. Given these​ results, does it seem that the candy company is providing consumers with the amount claimed on the​ label? ▼ Yes, No, because the probability of getting a sample mean of 0.8545 g or greater when 456 candies are selected ▼ is is not exceptionally small.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: 6) When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found ...

A: 6) From the provided information, 1304 gas pumps were not pumping accurately and 5689 pumps were acc...

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-sh...

A: Introduction: The empirical rule for a normally distributed random variable is as follows: About 68...

Q: Grey-Seal Nursing. Grey seals are one of several types of earless seals. The length of time that a f...

A: Click to see the answer

Q: Statistics Question

A: Obtain the z score such that area under the standard normal curve lies to the left of z is 0.8485 Th...

Q: Normal Distributions What is the difference between a standard normal distribution and a nonstandard...

A: Normal distribution: A random variable X follows normal distribution with mean µ and standard deviat...

Q: Vertical Lines. In this section, we stated that any nonvertical line can be described by an equation...

A: a.

Q: Identify by name three important groups of percentiles.

A: The three most important groups of percentiles are deciles, quintiles and quarters. Deciles: Deciles...

Q: If you use a 0.10 level of significance in a (two-tail) hypothesis test, what will you decide if ZST...

A: Click to see the answer

Q: A value of r close to ±1 indicates that there is a _______ linear relationship between the variables...

A: Click to see the answer