To compare the braking distance for two types of tires, a safety engineer conducts 45 braking tests for each type. The results of the tests are given below. Tire Type Mean Standard Deviation Tire A 42 feet 2.9 feet Tire B 45 feet 3.1 feet   Construct a 98% confidence interval for the difference in the population mean braking distance of the two tire types.  Based on the interval in part a., does it appear that there is a statistically significant difference between the two population means? Explain.

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  1. To compare the braking distance for two types of tires, a safety engineer conducts 45 braking tests for each type. The results of the tests are given below.

Tire Type

Mean

Standard Deviation

Tire A

42 feet

2.9 feet

Tire B

45 feet

3.1 feet

 

  1. Construct a 98% confidence interval for the difference in the population mean braking distance of the two tire types. 
  2. Based on the interval in part a., does it appear that there is a statistically significant difference between the two population means? Explain. 

 

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