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Import the reacttimes data set and consider the 50 observations of the variable Times to be a sample from a larger population. Find a 96%
- Import the "reacttimes" data set and consider the 50 observations of the variable "Times" to be a sample from a larger population. Find a 96% confidence interval for the population mean. Construct a normal quantile plot and comment on the appropriateness of the procedure. Hint: reacttimes <- read.table("https://www.math.uh.edu/~wwang/MATH3339/dataset/reacttimes.txt",header = T) t.test(reacttimes$Times,conf.level = 0.96) qqnorm(reacttimes$Times) qqline(reacttimes$Times).
- We wish to estimate the population mean of a variable that has standard deviation 70.5. We want to estimate it with an error no greater than 6 units with probability 0.99. How big a sample should we take from the population? What happens if the standard deviation and the margin of error are both doubled?
- The FDA sampled 60 boxes of cereal and found 10 with insect parts. Find a 95% confidence interval for the true proportion of cereal boxes with insect parts. Use R to answer this question. Hint: prop.test(n,x,correct=F)
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