Boot Strapping
If our bootstrap distribution contains values for 1000 bootstrap samples, how many do we chop off at each end for a 95% confidence Interval.
What is 25
Construct an interval giving a range of plausible values for the given parameter using the given sample statistic and margin of error.
For ρ, using r = 0.62 with margin of error 0.05.
0.57 to 0.67
Why would a histogram be skewed to the right?
A high outlier that pulls it to the right
What are the 5 numbers in a five number summary?
Min, Q1, Median, Q3, Max
Original sample: 85, 72, 79, 97, 88.
Do the values given constitute a possible bootstrap sample from the original sample? 85, 88, 97, 72
No
A 95% confidence interval for a mean is 112.1 to 128.2. Is the value given a plausible value of μ=121
What is the mean for the following data set:
15, 22, 12, 28, 58, 18, 25, 18
24.5
Given the following dataset: 2, 4, 7, 8, 10, 12, 15, 18, 20, 22.
Calculate the five-number summary.
2, 8, 11, 18, 22
Calculate a mean for the following data set, then find the mean for a bootstrapped set.
85,90,78,92,88
Mean 86.6 Bootstrap answer will vary
Assuming that the sampling distribution is symmetric and bell-shaped, use the information to give a 95% confidence interval, and indicate the parameter being estimated.
p̂=.32 Standard Error=.04
0.24 to 0.40
What notation would you use for the following problem?
The average number of calories eaten in one day is 2386 calories for a sample of 100 participants.
x̄
Explain the significance of the 5 number summary
It summarizes the distribution, providing insight into its center, spread, and potential outliers.