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kicyunya [14]
3 years ago
14

An automobile manufacturer claims that its van has a 27.6 miles/gallon (MPG) rating. An independent testing firm has been contra

cted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 210 vans, they found a mean MPG of 28.0. Assume the standard deviation is known to be 2.3. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Mathematics
1 answer:
user100 [1]3 years ago
8 0

Answer:

2.52

Step-by-step explanation:

An automobile manufacturer claims that its van has a 27.6 miles/gallon (MPG)

So, \mu = 27.6 miles/gallon

n = 210 vans

x = 28

\sigma= 2.3

Formula of test statistic = z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{28-27.6}{\frac{2.3}{\sqrt{210}}}

z=2.5202

Hence the value of the test statistic is 2.52

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