Mussels are Canada’s top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected with the parasite?
Solution:
Given ,
p = 80% = 0.80 (population proportion)
n = 120 (sample size)
Let
be the sample proportion.
The sampling distribution of
is approximately normal with
mean =
= p = 0.80
SD =
=
=
= 0.03651483716
Now ,
P[more than 86%]
= P[
> 0.86]
=
= P(Z > (0.86-0.80)/0.03651483716)
= P(Z > 1.64)
=1 - P(Z < 1.64)
= 1 - 0.9495 ...use z table
= 0.0505
Required probability is
0.0505
Mussels are Canada’s top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince...
Mussels are Canada’s top
shellfish aquaculture product, produced in Newfound- land and
Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels
filter the sea water between their shells and accumulate viral,
bacterial, and parasitic pathogens in their tissues. Among the
mussels collected from a certain Canadian coastline 80% are
infected with a parasite. A biologist examines 120 randomly
selected mussels in this region. What is the probability that more
than 86% of the mussels in this sample are infected with...
Mussels are Canada's top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected with...
Mussels are Canada’s top shellfish aquaculture product, produced in Newfoundland and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected with parasite?
Mussels are Canada’s top shellfish aquaculture product, produced in Newfoundland and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected with the...
1. Mussels are Canada’s top shellfish aquaculture product, produced in Newfoundland and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected with...
Mussels are Canada’s top shellfish aquaculture product, produced in Newfoundland and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected wit this...
Exercise 1 Mussels are Canada’s top shellfish aquaculture product, produced in Newfoundland and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are infected...
Exercise 1: Mussels are Canada's top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are...
Exercise 1: Mussels are Canada's top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are...
Exercise 1: Mussels are Canada's top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are...