A man in a tower spots three hot air balloons flying at the same altitude. Balloon A is 5 miles east and 8 miles south of the

tower. Balloon B is 7 miles west and 10 miles

north of the tower. If Balloon C is located

four-ninths the distance from Balloon A to

Balloon B, find the location of Balloon C

relative to the tower.

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =