1.The speed limits on highways are based on the variability of reaction times of drivers. The highway department assumes that the variabilityof drivers'reaction times is . A critic of the department's policies argues that the variance is larger than this value. In a random sample of 100 drivers'reaction times, can we conclude at the 1% significance level that the critic is correct? (17%)

(Given , and )

(a)State the null and alternative hypotheses.

_____H_________________________________ (2%)

______________________________________ (2%)

(b)The value of the sample variance is ___________ (2%)

(c)The value of the test statistic is __________. (3%)

(d)The critical value of the test is ___________. (3%)

(e)The p-value of the test statistic is ________________. (3%)

(f)The conclusion is _______________________________________________

_____________________________________________________________