What z-score is used for a 99% confidence interval to estimate a population proportion? (skip the z-table, get one more decimal place of accuracy from the notes, your calculator, or click this online calculator.) use 3 decimal places in your answer 2.576 (b) what z-score is used for a 92% confidence interval? round your answer to 2 decimal places (c) what z-score is used for a 93% confidence interval? round your answer to 2 decimal places.

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?