rejected a mean of 2 0 circuit boards per batch produced

Last updated: 5/10/2023

rejected a mean of 2 0 circuit boards per batch produced with a variance of 0 36 The factory manager suspects that because the company now uses a new molding process the variance o is greater than 0 36 She tests a random sample of 24 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 52 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 05 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 Ho and the alternative hypothesis H Ho H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places Find the critical value Round to three or 0 decimal places e Can we support the claim that the variance of number of circuit boards rejected per batch using the new process is greater than 0 36 OYes O No X a X S p 0 0 OSO 020 0 0 o 00 0