Suppose for a given hypothesis test we have a sample statistic of 0.08. The null hypothesis is H₀: ₁ = ₂. The standard error obtained from the randomization distribution is 0.031. Determine the p-value by using the standard normal distribution.

The gas prices for a random sample of n = 10 gas stations in the state of Illinois on August 8^th, 2012 have mean $3.975, with standard deviation $0.2266.

The standard error from the bootstrap distribution is SE = 0.069. Use the normal distribution to construct and interpret a 90% confidence interval for the mean gas price in Illinois (on August 8^th, 2012).