Question

Question1of 14 Step 5 of 6 00:40:25 A manufacturer of chocolate chips would like to know whether its bag illing machine works correctly at the 401 gram setting, it is believed that the machine is underfilling or overfilling the bags. A 26 bag sample had a mean of 409 grams with a variance of 256. Assume the population is normally distributed. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Step 5 of 6: Identify the level of significance for the hypothesis test Answerow to Enter) 2 Points m Tables Keypad Next Prev

Answer 1

Solution: Sample size = n 26 Sample mean weight 409 Sample standard deviation = s-V256 = 16 Ho: μ Ha: μ 401 401 Test Statistic: → t = (409-401)/(16人/26) t 2.550 Degrees of Freedom = df = 26-1 25 From t-distribution table, area in the upper tail to the right of (t = 2.550) and for degrees of freedom (df-25), is given by 0.0087 The test is a two-tailed test. Hence, p-value 0.0087 x 2 0.0174 Level of significance, a 0.05 The p-value is less than α Hence, we reject the null hypothesis Ho Final Conclusion: There is sufficient evidence to conclude that the bags are underfilled or overfilled