The average gold content from an ore sample in 36 different locations is found to be 2.6 grams per ton. a. Find the 95% and 99% confidence intervals for the mean gold content in that area. Assume that...

Disregard part c. Only answer letters a and b.

Maintain 4-decimal places.

Extracted text: The average gold content from an ore sample in 36 different locations is found to be 2.6 grams per ton. a. Find the 95% and 99% confidence intervals for the mean gold content in that area. Assume that the population variance is 0.09. b. How large a sample is required if we want to be 95% confident that our estimate of sample mean is off by less than 0.057? c. Compute a 95% confidence interval for the standard deviation of the gold content.