It is required for you to show your work on each test questi…

It is required for you to show your work on each test question on scratch paper. If you do not complete this requirement, points will be deducted from your test grade. Do the following steps as you complete this test: Write the question number for each problem Show the steps (if multiple steps are involved) and the answer you get for each question. You must use the formulas and approaches we learned in the videos and notes from class to get full credit. If you do not show your work using the formulas from class to explain your answer, points may be deducted. Select your multiple-choice answer. Calculators can be used to check answers, but if work is not show for how you calculated the answer, points will be deducted. After you submit your test in Canvas, within 15 minutes, upload pictures of your scratch paper under the corresponding Test Pictures of Work assignment in the Modules section. If you have any issues uploading your pictures in Canvas, you can also email them to ashaw@bishop.edu You are not allowed to use AI or algebra-solver apps (ChatGPT, Co-pilot, Gemini, PhotoMath, Cymath, etc). If your scratchwork shows evidence of responses from AI or apps, then a 0 will be given. Per syllabus policy, cell phones and smart watches are not allowed on tests. If a phone or smart watch flag is detected on your Honorlock proctoring, a grade of 0 will be given for the test. In the answer box below type: I agree to show my work on paper for each problem, and I understand that I am not allowed to use AI or algebra-solver apps to get my answers.

Bottles of water are produced by a bottling machine. The bot…

Bottles of water are produced by a bottling machine. The bottles are labeled to contain 500ml of water (a half-liter).    During a quality control inspection, 12 bottles were selected randomly, and their water volumes carefully measured. The 8 bottles measured had a mean volume of 496ml with standard deviation 6.12ml.   The quality control inspectors are testing to see if they can conclude that the mean volume of water in all bottles produced by this factory is different from 500ml.    Which of the following is closest to the p-value they obtain based on this sample?