Hilda plans to display in a clear cube the needle betsy ross used to sew the first american flag. the needle will fit exactly as the diagonal of the cube. if the side length of the clear cube is inches, and the diagonal of a face of the cube is inches, what is the length of the needle? a) square root of 6 inches b) 3 inches c) 3 times the square root of 2 inches d) 6 inches

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) =