A movie theater sells popcorn in bags that open to form similar prisms, the height of the smaller bag is 12 while the height of the larger bag is 16. The large bag has a volume of 576 cubic inches. What is the volume of the small bag? A. 144 cubic inches
B. 243 cubic inches
C. 324 cubic inches
D. 432 cubic inches
E. cannot be determined

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) =