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Assignment 3 Based on Unit 7 & 8 Total Marks 154 1. Spring break can be a very expensive holiday. A sample of 90 students is surveyed, and the average amount spent by students on travel and beverages is $601.00. The sample standard deviation is approximately $394.34. Construct a 95% confidence interval for the population mean amount of money spent by spring breakers. Draw graph. 2. A simple of 900 students has mean 3.5 cm and standard deviation 2.61 cm is the sample from a large population of mean 3.25 cm and standard deviation 2.61 cm? Check at 99% level of confidence. Also find the range. (12 marks) 3. The production line for Glow toothpaste is designed to fill tubes with a mean weight of 6 oz. Periodically, a sample of 30 tubes will be selected in order to check the filling process. Quality assurance procedures call for the continuation of the filling process if the sample results are consistent with the assumption that the mean filling weight for the population of toothpaste tubes is 6 oz.; otherwise the process will be adjusted. Assume that a sample of 30 toothpaste tubes provides a sample mean of 6.1 oz. The population standard deviation is believed to be 0.2 oz. Perform a hypothesis test, at the 03 level of significance, to help determine whether the filling process should continue operating or be stopped and corrected(Use both P-value & Critical Approach) 18 marks- 9 marks for each part 4. The response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a Os level of significance, to determine whether the service goal of 12 minutes or less is being achieved. (Use both P-value & Critical Approach) 18 marks 9 marks for each part