Question

The age of the residents in a certain town is Normally distributed with an unknown mean...

The age of the residents in a certain town is Normally distributed with an unknown mean μ and unknown standard deviation σ . The mayor knows that the average age 10 years ago was 35, but she thinks that the average age is now lower. To test this claim, she acquires a random sample of 40 residents which has a sample mean age of 36 years and a sample standard deviation of 6 years.

If the mayor uses technology, which of the following is the P‑value she will use to test her claim?

0.146

0.292

0.149

0.298

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