QUESTION 22 A production line operation is designed to fill cans with tomato sauce with a mean weight of 20 ounces. A sample of 25 cans is selected to test whether overfilling or underfilling is occurring in the production line and they should stop and adjust it. Sample statistics (average and standard deviation) are calculated. Assume the population of interest is normally distributed. Use this information to answer questions 22 to 23. The p-value for this test can be calculated in Excel using the function O = 1 - NORM.S.DIST( | z-stat |, TRUE) O = 2*(1 - NORM.S.DIST(| z-stat |, TRUE)) O = T.DIST.RT( | t-stat |,24) O =2*T.DIST.RT(| t-stat |,24) QUESTION 23 Let the p-value be 0.08 for this sample. At 0.05 level of significance, it can be concluded that the mean filling weight of the population is O significantly different than 20 ounces O not significantly different than 20 ounces O significantly less than 20 ounces O not significantly less than 20 ouncesQUESTION 11 The CEO of a company believes that 20% of the fim'l's orders come from rst-time customers. Let p denote this proportion for the population of all customers. Assume that there is an innite number of orders. A random sample of 100 orders will be used to estimate the proportion of rst-time customers. Assume the CEO is correct and p = 0.20. Answer questions 11-12. What is the standard deviation of the sample proportion? O 0.3 O 0.02 O 0.21 O 0.04 QUESTION 12 What is the probability that the sample proportion will be less than 0.25? O 0.55 O 0.45 O 0.894 O 0.106