Sofia's audio player has 15,000 songs. The play time for the songs is skewed to the right, with a mean of 255 seconds and a stan
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The sample size is 124.
93 of them are opposed to new shopping center.
So,
n = 124
p =
The point estimate of the population proportion = p = 0.75
q = 1 - p = 0.25
Margin of error (E) can be calculated by:
Using the values, we get:
Therefore, the margin of error is approximately 0.06 or 6%.
93 of them are opposed to new shopping center.
So,
n = 124
p =
The point estimate of the population proportion = p = 0.75
q = 1 - p = 0.25
Margin of error (E) can be calculated by:
Using the values, we get:
Therefore, the margin of error is approximately 0.06 or 6%.
Answer:
Step-by-step explanation:
Previous concepts
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:
If we solve for the total T we got:
For this case then the expected value and variance are given by:
And the deviation is just:
So then the distribution for the total would be also normal and given by:
And we want this probability:
And we can use the z score formula given by: