a. Construct a 99% confidence interval for the mean particle size of the batch of paint.
b. Construct a 95% confidence interval for the mean particle size of the batch of paint.
c. The manufacturer had previously reported that their mean latex paint particle size was 3800 angstroms. Does the given sample support the manufacturer’s claim?
d. How is the interval length affected by decreasing the confidence level of the interval?
e. Use R to justify the results of the both confidence intervals
(and include the R outputs).
![2. 20 pts] The particle size is an important property of latex paint, which is why it is usually monitored during the product](http://img.homeworklib.com/images/44f13a29-9ab9-4709-ad81-3d36db126aa0.png?x-oss-process=image/resize,w_560)
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A. Construct a 99% confidence interval for the mean particle size of the batch of paint. b. Const...
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