Dining room chairs come in many different woods, styles, and shapes. The height of the seat...

  

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Dining room chairs come in many different woods, styles, and shapes. The height of the seat of a randomly selected oak dining-room chair is approximately normally distributed with mean 85 centimeters and standard deviation 1.88 cm. a. Find a value of h such that 99% of all oak dining-room chairs have height less than h. b. Consumer testing indicates that any chair seat higher than 90cm is uncomfortable to use when eating. What is the probability that a randomly selected dining-room chair is uncomfortable? c. Find the first and third quartiles of the height of the seat of oak dining-room chair. d. There is some evidence to suggest that, after five years of use, the mean height of these chairs has decreased due to wear, erosion, and humidity. However, the standard deviation remains unchanged. Suppose that after five years, the probability that height is more than 86cm is 0.0718. Find the mean height after five years. Dining room chairs come in many different woods, styles, and shapes. The height of the seat of a randomly selected oak dining-room chair is approximately normally distributed with mean 85 centimeters and standard deviation 1.88 cm. a. Find a value of h such that 99% of all oak dining-room chairs have height less than h. b. Consumer testing indicates that any chair seat higher than 90cm is uncomfortable to use when eating. What is the probability that a randomly selected dining-room chair is uncomfortable? c. Find the first and third quartiles of the height of the seat of oak dining-room chair. d. There is some evidence to suggest that, after five years of use, the mean height of these chairs has decreased due to wear, erosion, and humidity. However, the standard deviation remains unchanged. Suppose that after five years, the probability that height is more than 86cm is 0.0718. Find the mean height after five years.