Jamel has four dogs (Rover, Marley, Skip, and Free) but only owns 2 leashes. Since his city has a strict policy on walking dogs with a leash help him make a choice on which dogs to walk each day. (THIS IS A STATISTICS QUESTION)

a) What is the frame Jamel is working with? (2 points)

b) What is the population size (N)? (1 point) sample size (n)? (1 point)

c) List all possible samples: (4 points)

d) What is the probability that Jamel will walk Marley and Free today? (1 point)

e) Which sampling method is best for Jamel to use to ensure all dogs have an equal chance of being walked each day? (1 point)

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) =