The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 195 people reveals the mean yearly consumption to be 33 kg. Assume a normal population with the population standard deviation of 5 kg. Find the right end of the 90% confidence interval for the population mean. (Round the answer to two decimal places if needed).

The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 86 people reveals the mean yearly consumption to be 20 kg. Assume a normal population with the population standard deviation of 7.8 kg. Find the margin of error with the 95% level of confidence for the population mean. (Round the answer to two decimal places if needed).

Suppose that in your city 17% of the voters are registered as Democrats, 61% as Republicans, and 5% as members of other parties. Voters not aligned with any official party are termed "Independent." You are conducting a poll by calling registered voters at random. In your first 4 calls, what is the probability that you talk to all Republicans? (Round to three decimal places as needed).

64 percent of the homes constructed in the Caca Creek area include a security system. 10 homes are selected at random. What is the probability at least one of the selected homes has a security system? (Round the result to five decimal places if needed.)

The average weight of a package in a post office is 8 pounds with a standard deviation of 1.3 pounds. According to Chebyshev's Theorem, at least what percent of the packages weight between 5 and 11 pounds? Round the result to integer number.