Records from previous years for an electronics company show that it rejected a mean of 2.3 circuit boards per batch produced, with a variance of 0.22. The factory manager suspects that, because the company now uses a new molding process, the variance, sigma ^ 2 is greater than 0.22. She tests a random sample of 16 batches produced using the new process and finds that the mean number of circuit boards rejected is 2 per batch, with a variance of 0.43. If we assume that the numbers of circuit boards rejected per batch using the new process are approximately normally distributed, is there sufficient evidence to conclude, at the 0.01 level of significance, that the manager is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H_{0} and the alternative hypothesis H_{1} H_{0} : Box H_{1} : Box (b) Determine the type of test statistic to use. (Choose overline one ) forall Box= Box Box Box Box>= Box S (c) Find the value of the test statistic. (Round to three or more decimal places.) overline x S