5.5
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is n?
50
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is x?
{21, 22, 23, 24, 25...50}
What is the Central Limit Theorem?
It describes shape, center, and spread of a sampling distribution of sample means drawn from a population
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is p?
60% or .60
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is q?
40% or .40
If population is not normal, when is the sampling distribution normal?
When the sample size is 30 or greater
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is the standard deviation? Round to nearest tenth. (Hint: use equation sqrt[npq])
3.46
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is the mean? (Hint: use equation np)
30
What equation shows center?
μ=μx̅
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is the Z-score? Round to nearest tenth. (Hint: use equation Z=[x-μ]/σ )
-2.89
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
Is this a Binomial Distribution? (Hint use equations μp≥5 and μq≥5)
Yes
What equation shows spread?
σx̅=σ/sqrt(n)
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
What is the probability given the Z-score is -2.89?
0.9981
60% of fish in a pond are blue, the rest are red. You randomly select 50 fish in the pond and record what color they are. Find the probability that more than 20 fish will be blue.
Would the graph be shaded to the left or right?
Right
Finish the sentence:
One fish, two fish...
...red fish, blue fish