Our unique random sample of 100 human genes from the human genome (Example 4.1) was found to have a median length of 2150 nucleotides. Specify whether each of the following statements is true or false. The median gene length of all human genes is 2150 nucleotides. The median gene length of all human genes is estimated to be 2150 nucleotides. The sample median has a sampling distribution with a standard error. A random sample of 1000 genes would likely yield an estimate of the median closer to the population median than a random sample of 100 genes.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?