The weights of a certain brand of candies are normally distributed with a mean w

Question

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8616 g and a standard deviation of 0.0511g A sample of these candies came from a package containing 454 candies, and the package label stated that the net weight is 3875g (If every package has 454 candies, the mean weight of the candies must exceed 387.5/454 = 0.8535 g for the net contents to weigh at least 3875 g) a If1 candy is randomly seeded find the probability it weighs more than 08535 g The probability is (Round to four decimal Places as needed) b If 464 candies are randomly selected, find the probability that their mean weight is at least 10.8535g. The probability that a sample of 454 candies will have a mean of 0.8535 g or greater is (Round to four decimal places as needed) c Given these results does it seem that candy company is providing consumers with the amount claimed an the label? because the probability of a sample mane of 0.8535 g or greater when 454 candies are selected exceptionally smart

Explanation / Answer

a) P(X>0.8535)=1-P(X<0.8535)=1-P(Z<(0.8535-0.8516)/0.0511)=1-P(Z<0.0372)=1-0.5148=0.4852

b) mean weight =0.8516

and std deviation =0.0511/(454)1/2 =0.0024

hence  P(X>0.8535)=1-P(X<0.8535)=1-P(Z<(0.8535-0.8516)/0.0024)=1-P(Z<0.7922)=1-0.7859=0.2141

c)Yes because...are selected is not exceptionally small.

please see mean figure 0.8516 and revert will correct if figure is wrong

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.