Atheme park has a log that can hold 12 people. they also have a weight limit of 1500 lbs per log for safety reason. if the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weights 200, the ride can operate safely if the inequality
150a+100c+200< 1500
< =less or equal
is satisfied (a is the number of adults and c is the number of children in the log ride together). there are several groups of children of differing numbers waiting to ride. groups one has 4 children, group two has 3 children, group three has 9 children, group four 6 children while group five has 5 children.
if 4 adults are already seated in the log, which groups of children can safely ride with them? explain ~

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) =