Sonji plots –9 on a number line to represent the depth of her sailboat underwater and labels it B. She plots positive 20 on the same number line to represent the height of her sailboat above water and labels it A. Sonji asks if B, the elevation below sea level, acts as an opposite to A, the elevation above sea level. What is the best answer to her question? Although they are on opposite sides of sea level, they are not opposites since –9 and 20 are unequal distances from 0. Because they are on opposite sides of sea level, they are considered be opposites. Because they are not on opposite sides of zero on the number line, they are not opposites. Although they are on opposite sides of 0 on the number line, the reason they are considered opposites is because they are the same distance from sea level.

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) =