8) A car manufacturer claims that a new model of their cars gets an average of 30 miles per gallon (mpg) on the highway. A random sample of 12 of these cars is tested, and they yield an average of 28 mpg with a sample standard deviation of 2 mpg. Is there enough evidence to challenge the manufacturer's claim at a significance level of 0.01?

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8) A car manufacturer claims that a new model of their cars gets an average of 30 miles per gallon (mpg) on the
highway. A random sample of 12 of these cars is tested, and they yield an average of 28 mpg with a sample
standard deviation of 2 mpg. Is there enough evidence to challenge the manufacturer's claim at a significance
level of 0.01?
Transcribed Image Text:8) A car manufacturer claims that a new model of their cars gets an average of 30 miles per gallon (mpg) on the highway. A random sample of 12 of these cars is tested, and they yield an average of 28 mpg with a sample standard deviation of 2 mpg. Is there enough evidence to challenge the manufacturer's claim at a significance level of 0.01?
Expert Solution
Step 1: Determine the given data

From the provided information,

n equals 12
top enclose x equals 28
s equals 2
alpha equals 0.01

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