Question

Stoaches are fictional creatures that feed on funistrada.

According to Wikipedia, adult stoach weights are normally
distributed, with a mean of 325 g and a standard deviation of 43
g.You weigh a random sample of 46 stoaches, and find a sample mean weight of 460 g.
Assume Wikipedia is correct about the standard deviation. What is the p
-value for a two-sided hypothesis test that Wikipedia is also right about the mean weight?

Answer 1

To find the p-value for a two-sided hypothesis test, you need to calculate the z-score for the sample mean weight and find the corresponding cumulative probability.

Step-by-step explanation:

To find the p-value for a two-sided hypothesis test, we need to calculate the z-score for the sample mean weight and then find the corresponding cumulative probability.

1. Calculate the z-score:
   z = (sample mean - population mean) / (population standard deviation / sqrt(sample size)) = (460 - 325) / (43 / sqrt(46))
2. Find the cumulative probability using the z-score:
   p-value = 2 * (1 - cumulative probability)