Rhonda manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table
below. Which statement about the samples is true?
A. Rhonda needs to continue taking samples of ducks until both samples have at least one of each type of duck.
B. Rhonda should take a third sample and then use the two that are most representative since these samples vary quite a bit.
C. Rhonda should use both of these samples as they are to make inferences about the average population of each type of duck in the pond.
D. Both samples must be biased because there are more Mallards than any other type of duck recorded in the sample.
A. Rhonda needs to continue taking samples of ducks until both samples have at least one of each type of duck.
B. Rhonda should take a third sample and then use the two that are most representative since these samples vary quite a bit.
C. Rhonda should use both of these samples as they are to make inferences about the average population of each type of duck in the pond.
D. Both samples must be biased because there are more Mallards than any other type of duck recorded in the sample.
2 answers:
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Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:
How far would the object travel after 1.5 * 10^3 seconds
This is d when , so
The object travels 144,000,000 feet.
Answer:
The area of the figure is 28 units².
Step-by-step explanation:
Find the area of the full rectangle, ignoring the triangle.
Then, find the area of the triangle:
Finally, subtract:
Answer:
a)
The standard error is given by:
And the margin of error is given by:
b) The 99% confidence interval would be given by (0.429;0.491)
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Data given and notation
n=1024 represent the random sample taken
X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering
estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering
p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering
Part a
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The standard error is given by:
And the margin of error is given by:
Part b
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.429;0.491)