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

Respuesta :

Answer:

2.52

Step-by-step explanation:

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

So, [tex]\mu = 27.6 miles/gallon[/tex]

n = 210 vans

x = 28

[tex]\sigma= 2.3[/tex]

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

[tex]z=\frac{28-27.6}{\frac{2.3}{\sqrt{210}}}[/tex]

[tex]z=2.5202[/tex]

Hence the value of the test statistic is 2.52

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