I need help on this math
1 answer:
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Answer:
c) skewed to the right.
Step-by-step explanation:
We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:
And if is skewed to the left then we have:
If the distribution is symmetric we need to satisfy:
For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.
So for this special case we can say that the . And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:
c) skewed to the right.
Answer:
The 95% confidence interval obtained with a sample size of 64 will give greater precision.
Step-by-step explanation:
We are given the following in the question:
A 95% confidence interval is calculated with the following sample sizes
The population mean and standard deviation are unknown.
Effect of sample size on confidence interval:
- As the sample size increases the margin of error decreases.
- As the margin of error decreases the width of the confidence level decreases.
- Thus, with increased sample size the width of confidence level decreases.
If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.
Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.