The Casamigos tequila company produces two different types oftequila, silver and gold. They want to see if people rate the twotypes differently. If they find a statistically significantdifference between the two, they will be able to charge a higherprice for the higher rated type of tequila. To test their claim,they conduct a focus group with 275 participants. Each of theparticipants were asked to rate the tequila on a scale from 1 to10, with 1 being the worst and 10 being the best tequila they hadever had. Within the group, 150 of the participants were given thesilver tequila, and 125 were given the gold tequila.

Those who had the silver tequila rated it an average 9.57, whilethose who had the gold tequila rated it an average 9.31. The knowpopulation variance for silver tequila is 0.91 and for gold tequilait is 1.3. Let the silver tequila be population 1 and the goldtequila be population 2.

Calculate the appropriate 95% confidence interval and enter youranswer below. Round your answers to 4 decimal

Calculate the appropriate test statistic needed to test yourclaim. Round your final answer to 4decimals. Hint: Make sure you are using thecorrect formula based on the information given in theproblem.

Find and enter the correct critical value needed to test yourclaim at the 5% significance level. Round your finalanswer to 4 decimals. Hint: Things you will needto know: alpha, df, is this one or two-tailed test, and which tableto use!