Answer: Yes , it is unusual for a boiler to weigh more than 1550 grams .
Step-by-step explanation:
Given : Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approximately normally distributed with mean[tex](\mu)[/tex] 1358 grams and standard deviation[tex](\sigma)[/tex] 161 grams.
When the probability that broiler weigh more than 1550 grams < 0.5 , then is unusual otherwise not.
Let x denotes the weight of broiler, then the probability that broiler weigh more than 1550 grams :-
[tex]P(x>1550)=1-P(x\leq1550)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{1550-1358}{161})\\\\\approx 1-P(z\leq1.19)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=\\\\=1-0.8830\ \ [\text{By using z-table}]\\\\=0.117[/tex]
Since 0.117<0.5
Therefore, it is unusual for a boiler to weigh more than 1550 grams .
