Question: Clear steps with work shown would really help. Thanks. (Two parts; 8 marks in total) In a study of competition for nesting cavities in a
Clear steps with work shown would really help. Thanks.

(Two parts; 8 marks in total) In a study of competition for nesting cavities in a region, a researcher measures the entrance area ( mm ) from cavities of a species of mouse (Pinyon mouse) and a species of bird (Bewick's wren). The general characteristics of the data suggest the need for a natural log transformation. Summary statistics on the logged scale for the two species appear below. Species Sample size Sample mean Sample Standard deviation Mouse 38 7.37 0.42 Wren 24 7.42 0.39 a) (5 marks) Use the information in the above table to construct a 95% confidence interval for the difference in mean logged cavity size between the mouse species and the bird species. b) (3 marks) Interpret the confidence interval in part (a) on the original scale and, based on this interval, conclude whether there is a difference in mean cavity size between the mouse species and bird species. If so, which one has higher cavity size
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