Question

Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. A study was conducted of the average distance separating traps-called trap spacing-deployed by lobster fishermen. The trap-spacing measurements (in meters) for a sample of seven teams from fishing cooperative A, and a sample of eight teams from fishing cooperative B are repeated in the accompanying table. For this problem, we are interested in comparing the mean trap-spacing measurements of the two fishing cooperatives. (Since the sample from fishing cooperative A is listed first, treat it as the first sample.) Complete parts a through f below. Click the icon to view the table of trap spacing measurements. Because the interval does not include zero, C. Because the interval does not include zero, there is evidence that there is no difference between the population means D there is evidence that there is a difference between the population means. f. What conditions must be satisifed for the inference, part e, to be valid? Select all that apply A. The populations variances must be equal B. Both sampled populations must have distributions that are approximately normal. C. The sample variances must be equal. D. The two sample sizes must not be the same. E. The two samples must be randomly selected in an independent manner from the two target populations

Please let me know how many are correct of part F??

Answer 1

Answer f): Options B and E are correct

Correct Options are highlighted:

A. The popuations ariances mus be eqal |B. Both sampled papuaions musthav dsthbutins aiaol IC.The sample arianes mus be eqal. I D. The two sample sizes must not be the same E. Tme to aple musterandolysele i aneetaeohe otagetputions

Explanation:

Option A is incorrect because it is not necessary population variances must be equal. Confidence interval can also be calculated for unequal population variances.

Option C is incorrect as for confidence interval calculation we have to check for equality of population variances not sample variances  

Option D is incorrect because it is not necessary sample sizes are equal. Confidence interval can also be calculated for unequal sample sizes as done in this case.