(1/2) to the second power time 24.0
1 answer:
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Answer:
D. No, because the sample size is large enough.
Step-by-step explanation:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
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".
If the sample size is higher than 30, on this case the answer would be:
D. No, because the sample size is large enough.
And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.
From the central limit theorem we know that the distribution for the sample mean is given by:
If the sample size it's not large enough n<30, on that case the distribution would be not normal.
Answer:
The increase in membership is 11898 and percent increase in membership is 11.247%.
The bonus will not be awarded.
Step-by-step explanation:
Consider the provided information.
Part (A) Determine the increase in membership and percent increase in membership.
The number of members in 2016 is 105788 and the number in 2017 is 117,686.
That means the number of members increases are:
117,686-105,788=11,898
This can be calculated as:
Hence, the increase in membership is 11898 and percent increase in membership is 11.247%.
Part (B) Determine the percentage of the 25% increase in membership and then decide if the bonus should be awarded.
The 25% increase in membership can be drawn as:
That means 26447 new members should increase.
105788+26447=132235
Hence, there should be 132,255 members in 2017 so that they increase by 25%.
Hence, the bonus will not be awarded as the number of members in 2017 are 117,686.