Problem 17

  1. 709.9,802.54
  2. We are 95% confident that the true value of the speed of light lies between the inverval 709.9,802.54
  3. Independance between measurements, Normal model applicable

Problem 18

  1. SE = S/sqrt(n) = 7.9
  2. Improved expieriment means better equpiment, more accurate results, and subseqently changed the results to probaby be closer to the truth. Larger sample size also helps narrow the deviation closer to the truth.
  3. He was wrong, which he had a 5% chance of being given how far he extended his invervals.

Problem 19

  1. Less than 10% of flights, random since the flights are indepdent to time, histogram is unimodal and hardly skewed.
  2. 80.5,81.7 CI 90
  3. we are 90% confident that the true proportion of flights leaves between the interval above (~80%)

Problem 25

  1. uppertail, more than 500 pounds on table
  2. Reject a table thats not weak
  3. Fail to reject table that is weak.

Problem 27

  1. Decrease alpha, reduce the chacne of commiting a type 1 error
  2. The power to reject a table that is weak
  3. If they want to increase power, they should increase alpha, as they would reject more tables and reduce the chance of a type 2 error. If the company increases alpha they will reject more OKAY tables, and if they decrease alpha they will fail to reject more bad tables.

Problem 29

  1. H0: p=23.3 Ha: p>23.3
  2. If we check Histogram for skewed, and assume indpendance and 10%, then this is okay