Astudy of several cities shows a positive correlation between the percent of people biking to work and the percent of people spending their vacation time at home

which is most likey true

a) the correlation is due to a third variable cost of gas

b) vacationing at home makes people want to ride their bike

c) the correlation is due to a third variable cost of milk

d) bike riding makes people want to vacation at home

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) =