Chapter 4: Problem 20
When 100 tacks were thrown on a table, 60 of them landed point up. Obtain a \(95 \%\) confidence interval for the probability that a tack of this type lands point up. Assume independence.
Chapter 4: Problem 20
When 100 tacks were thrown on a table, 60 of them landed point up. Obtain a \(95 \%\) confidence interval for the probability that a tack of this type lands point up. Assume independence.
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f(x)=\frac{1}{\pi\left(1+x^{2}\right)}, \quad-\infty
Let \(Y_{1}
This data set was downloaded from the site http://lib.stat.cmu.edu/DASL/ at Carnegie-Melon university. The original source is Willerman et al. (1991). The data consist of a sample of brain information recorded on 40 college students. The variables include gender, height, weight, three IQ measurements, and Magnetic Resonance Imaging (MRI) counts, as a determination of brain size. The data are in the rda file braindata. rda at the sites referenced in the Preface. For this exercise, consider the MRI counts. (a) Load the rda file braindata.rda and print the MRI data, using the code: \(\mathrm{mri}<-\) braindata \([, 7] ;\) print(mri). (b) Obtain a histogram of the data, hist \((m r i, p r=T)\). Comment on the shape. (c) Overlay the default density estimator, lines (density(mri)). Comment on the shape. 4.1.10. This data set was downloaded from the site http://lib.stat.cmu.edu/DASL/ at Carnegie-Melon university. The original source is Willerman et al. (1991). The data consist of a sample of brain information recorded on 40 college students. The variables include gender, height, weight, three IQ measurements, and Magnetic Resonance Imaging (MRI) counts, as a determination of brain size. The data are in the rda file braindata. rda at the sites referenced in the Preface. For this exercise, consider the MRI counts. (a) Load the rda file braindata.rda and print the MRI data, using the code: \(\mathrm{mri}<-\) braindata \([, 7] ;\) print(mri). (b) Obtain a histogram of the data, hist \((m r i, p r=T)\). Comment on the shape. (c) Overlay the default density estimator, lines (density(mri)). Comment on the shape.
Let \(Y_{1}
Consider the sample of data (data are in the file ex4.4.3data.rda): \(\begin{array}{rrrrrrrrrrr}13 & 5 & 202 & 15 & 99 & 4 & 67 & 83 & 36 & 11 & 301 \\ 23 & 213 & 40 & 66 & 106 & 78 & 69 & 166 & 84 & 64 & \end{array}\) (a) Obtain the five-number summary of these data. (b) Determine if there are any outliers. (c) Boxplot the data. Comment on the plot.
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