Question

Research studies have shown that the weights of common wood pigeons (Columba palumbus) tend to be normally distributed with a mean weight of 450 grams.  A scientist living in Athens, Greece, has noticed smaller pigeons in the city recently and questions whether some environmental factor is causing the city pigeons to be of lesser average weight than would normally be expected.  To investigate this matter, she conducts a hypothesis test at the  α  =  0.05 level of significance.  After collecting a random sample of 28 birds and taking their weight measurements, she obtains a p – value of 0.021 in her left – tailed hypothesis test.  

Based on this result, what should the scientist conclude about the average weight of pigeons in her city? 

Respond in a complete sentence or two, explaining the reasoning behind your answer.

Answer 1

Date Page Solution: - Givens n=28 p value 0.021 2 = 0.05 from given claim hypothesis written as, Ho ll=450 ....Hull hypothesis --- Altemative hypothesis H: < 450 - Now our p valle = 0.021 At 2 = 0.05 The p value is less than 2 (0.05) - :. We reject Ho from above testing we can conclude that The weights of common wood pigeons tend to be normally distributed with mean weight less than 450gm. je. It is sufficient evidence to show that the mean weight of common wood pigeons is less than 450gm.