The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions.

32.1 30.7 31.8 30.4 31.0 31.9

a) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

t = _______

p-value = ________

b) Determine the probability of a type II error when

= 0.01,

= 0.65,

and the actual value of is 31 (use either statistical software or Table A.17). (Round your answer to three decimal places.)

= ______

Repeat this for = 32.(Round your answer to three decimal places.)

= ________

c) Repeat (b) using = 0.80.

Use = 31. (Round your answer to three decimal places.)

= _______

Use = 32. (Round your answer to three decimal places.)

= _______