Question

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 years. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set alphaαequals=0.05.

The​ p-value for this hypothesis test would be​ ________. Round to four decimal places.

Answer 1

The test hypothesis is

This is a left-tailed test because the alternative hypothesis is formulated to detect claim if mean is less than 12.0.

Now, the value of test static can be found out by following formula:

Since P-value of a upper tailed test is equal to

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