Which equation is correct?
2 answers:
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Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Answer:
90
Step-by-step explanation:
There are 10 red candies, 18 green candies, 9 yellow candies, and 13 brown candies.
10 + 18 + 9 + 13 = 50.
There is a total of 50 candies. Out of the 50 candies, 18 are green.
You have to get to 250 .That means you do
250 divided by 50 = 5.
18 x 5 = 90.
Therefore, she can expect 90 green candies