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The average age of vehicles registered in the United States is 96 months with a standard deviation of 15 months. A sample of sample of 64 vehicles is taken. Answer Question 26 and Question 29 Q26 (1 marks) The average age of a vehicle can be modelled by a normal distribution. (T/F). Q27 (2 marks): Find the probability that the mean age is between 98 and 100 months. Q28 (2 marks): Find the probability that the mean age is greater than 100 months. 0.0164Q29 (3 marks): If the sample size is double, find the probability that the mean age in the sample is either less than 94 months or greater than 98 months.

Question

The average age of vehicles registered in the United States is 96 months with a standard deviation of 15 months. A sample of sample of 64 vehicles is taken. Answer Question 26 and Question 29 Q26 (1 marks) The average age of a vehicle can be modelled by a normal distribution. (T/F). Q27 (2 marks): Find the probability that the mean age is between 98 and 100 months. Q28 (2 marks): Find the probability that the mean age is greater than 100 months. 0.0164Q29 (3 marks): If the sample size is double, find the probability that the mean age in the sample is either less than 94 months or greater than 98 months.

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Solution

Q26: True. Q27: 0.4129. Q28: 0.1587. Q29: 0.0228.

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