Population 1 Assume that both populations are normally distributed. (a) Test whetheru, #, at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, -2. Population 2 12 16.1 12 14.3 2.9 3.7 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. HoiH1 = H2 H >H2 O B. Ho * H2 H, >H2 c. Ho1 = 2 H,1 2 O D. HoH H2 H, 1 = H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.)

In a controlled and scientifically valid study of sleeping pills, 40 people who took Pill A averaged 7.5 hours of sleep, with a standard deviation of 1.5 hours, while 40 people who took Pill B averaged 8 hours of sleep, with a standard deviation of 2 hours. Is there enough evidence to support the assertion that Pill B is more effective than Pill A to a 95% confidence interval? Explain.

A Pew Research Center report on gamers and gaming estimated that 49% of U.S. adults play video games on a computer, TV, game console, or portable device such as a cell phone. This estimate was based on a random sample of 2001 U.S. adults! Construct and interpret a 95% confidence interval for the proportion of all U.S. adults who play video games. O We are 95% confident that the interval from 0.472 to 0.509 captures p = the proportion of adults in the Pew Research Center report who play video games. O We are 95% confident that the interval from 0.472 to 0.509 captures p = the true proportion of U.S. adults who play video games. We are 95% confident that the interval from 0.468 to 0.512 captures p = the true proportion of U.S. adults who play video games. O We are 95% confident that the interval from 0.468 to 0.512 captures p= the proportion of adults in the Pew Research Center report who play video games. O We are 95% confident that the interval from 0.018 to 0.031 captures p = the true…

A clinical test for central venous oxygen is performed onpatients admitted to ICU upon admission and following 6 hoursof treatment. Is there a significant difference at the 95%confidence interval between the initial and final oxygen levelthat could be attributed to the treatment received in the ICU?