In Example 6.2 on political ideology (page 157), suppose we use the scores (−3, −2, −1, 0, 1, 2, 3) instead of

(1, 2, 3, 4, 5, 6, 7). We then test H0: μ = 0. Explain the effect of the change in scores on

(a) the sample mean and standard deviation,

(b) the test statistic,

(c) the P-value and interpretation.