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A manufacturer of small engines concerned with the issue of noise pollution developed a new engine...

A manufacturer of small engines concerned with the issue of noise pollution developed a new engine that would be quieter than the standard model. 15 of the new models were tested for noise level and with 25 of the standard models. The results are given below with noise measured in decibels.

Sample Sample Size Sample Mean Sample Variance
Standard 25 84 169
New 15 72 100

a. Find a 98% confidence interval for the difference in mean decibel levels μse - μne.

b. Do the population means appear to be different at 2% level of significance?

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b ) Yes populations mean appear to be different at 2% level of significance

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