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Question 2 of 5 The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal. Which of the following is a statement of the null hypothesis? The machine fills the boxes with the proper amount of cereal. The average is 24 ounces. The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces. OThe machine is not putting enough cereal in the boxes. The average is less than 24 ounces. Question 3 of 5 The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal. Which of the following is a statement of the alternative hypothesis? OThe machine fills the boxes with the proper amount of cereal. The average is 24 ounces The machine fills the boxes with the proper amount of cereal. The average is less than 24 ounces. OThe ma f cereal. The average is not is not filling the boxes with the proper amount ounces. A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 8% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 15 of them are worn out. With this data, we test the following hypotheses at the 5% significance level. Ho: The proportion of tires that are worn out after 60,000 miles is equal to 0.08 Ha: The proportion of tires that are worn out after 60,000 miles is less than 0.08 The P-value is 0.15. Which conclusion is correct? OAccept Ho. Fail to reject Ho. Reject Ho.

Answer 1

• Option (A) is the correct alternative. The machine fills the boxes with the proper amount of cereal. The average is 24 ounces.
• Option (C) is the correct alternative. The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces.
• Option (C) is the correct alternative. Since the p-value of the test is 0.15 which is less than the significance level of the test (0.05), we reject the null hypothesis