Question

3) [20 pts] Carbon monoxide (CO) emissions for cars vary with mean 2.9 gm/mi and standard deviation 0.4 gm/mi. The Ponaxtiruchiranalignim Car Rental Fleet has 10 of these cars in its fleet, acquired from various (i.e., random) sources. The CO emissions follow a normal distribution. a) What is the probability that a randomly selected car from the street has a CO emission greater than 3.1 gm/mi. b) What is the probability that a randomly selected car from the fleet has Co emissions in excess of 3.1 gm/mi. c) What is the shape of the distribution of the CO emissions of the cars in the fleet? d) Construct the normal curve for the cars in the fleet. e) What are the conditions for the Central Limit Theorem? 4) [15 pts] Ukojaftor is the manager of a tree nursery. He measures the heights of 39 seedlings and obtains a mean of 58.5 cm with a standard deviation of 4.3 cm. a) Construct a 95% confidence interval for these sample seedlings. b) Find the margin of error for the 95% confidence interval for the mean heights of all trees seedlings. c) Use information from part a to fill in the following sentence: of all samples of size have sample means within of the population mean.

Answer 1

The co emissions follow Normal Dismbution with mean standard deviation 2.9 gm / mi 0.4gn/mi and let co emissions be X XNN (2.9, (0.492) X ~ N (2:9, 10:16) we have to find P(x > 3.1) het's convert x unto Z-score sans X - Mez (72.155 ابزار الات الان ان کے metode P(x731) Play > 3:1 > 3.1 -2.9 pu ass boones 04 Pix>3.1.) = P(270.5) - pesme 1-PC 240.5) = 1- 0.69146 P ( x 73.1) = 0.30854

(6) this part is also asking for PIX> 3.19mimi 0.308 54 So the shape of since co emissions follow Normal the dismbution, distribution the co emissions the cars will be bell shaped of og

une for the cars (d) Normal the feet in 2.1 2.5 2.9 (mean (2-9-260-4) 2.9-0.4) 3.3 3.7 (2-9 (2-9+210.4)) +0-42