In a study of parasite–host relationships, 242 larvae of the moth Ephestia were exposed to parasitization by the Ichneumon fly. The following table shows the number of Ichneumon eggs found in each of...

In a study of parasite–host relationships, 242 larvae
of the moth Ephestia were exposed to parasitization by the Ichneumon fly. The following table shows the number of Ichneumon eggs found in each of the Ephestia larva.

For these data, yQ = 2.368 and s = 1.950. Student’s t
method yields the following 95% confidence interval for
m, the population mean number of eggs per larva:

2.12 < μ=""><>

(a) Does it appear reasonable to assume that the
population distribution of Y is approximately normal?
Explain.
(b) In view of your answer to part (a), on what grounds
can you defend the application of Student’s t method
to these data?

Extracted text: Number of eggs (Y) Number of larvae 21 1 77 2 52 3 41 4 23 5 13 6 9 7 1 8 2 9 10 2 11 12 13 14 15 1 Total 242