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3. You are in charge of ordering parts for the manufacturing company you work for. You have been tasked with determining the number of bolts to order each week, and you want to determine a reliable average to be ordered. You record the number of bolts used each week for a year (52 weeks) and find that there is a mean of 12400 bolts and a standard deviation of 6250 bolts. Construct a 95% confidence interval for the number of bolts used each week. A coworker thinks that the company uses an average of 14000 bolts each week, evaluate their claim using your confidence interval 4. A friend tells you that it would take you the same amount of time to ride a bicycle to school as it would be to drive your car due to traffic. You disagree, and wish to prove them wrong using statistics! Your friend claims that it will take you an average of 19 minutes to bike from your house to school. You make a note of how long it takes you to get from your house to school in your car for 20 days, and determine that the length of your commute has a mean of 13 minutes and a standard deviation of 9 minutes. Use this information to conduct a hypothesis test using a 99% confidence interval

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