The two box-and-whisker plots below represent the distribution of shoe sizes for a group of 40 two-year-old boys and a group of
80 three-year-old boys.
What is the difference of the interquartile ranges of the box-and-whisker plots?
0
0.5
1
1.5
What is the difference of the interquartile ranges of the box-and-whisker plots?
0
0.5
1
1.5
1 answer:
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Answer:
A. Margin of error = 128.79
B. The 99% confidence interval for the population mean is (7661.21, 7918.79).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the mean.
The population standard deviation is know and is σ=500.
The sample mean is M=7790.
The sample size is N=100.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 99% confidence interval for the population mean is (7661.21, 7918.79).