The amount of time, in minutes that a person must wait for a bus is uniformly distributed between 4 and 16.5 minutes, X~U(4, 16.5). a.) Find the mean of this uniform distribution. b.) Find the standard deviation of this uniform distribution. c.) If there are 16 people waiting for the bus and using the central limit theorem, what is the probability that the average of 16 people waiting for the bus is less than 8 minutes

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) =