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. E Click the icon to view the table of trap spacing measurements. UU. P12 b. Compute a point estimate of the target parameter. The point estimate is (Round to two decimal places as needed.) c. What is the problem with using the normal (z) statistic to find a confidence interval for the target parameter? O A. The samples are not large enough. The sampling distribution of the target parameter is approximately normal only for large samples. OB. The samples are too large. The sampling distribution of the target parameter is approximately normal only for small samples. OD. The population variances are not the same. The sampling distribution of the target parameter is approximately normal only when the OC. The population variances are the same. The sampling distribution of the target parameter population variances are the same. approximately normal only when the population variances are different d. Find a 00% confidence interval for the target parameter. The confidence interval is OD. (Round to one decimal place as needed.) e. Use the interval. part d. to make a statement about the difference in mean trap-spacing measurements of the tvo fishing cooperatives. O A. Because the interval does not include zero. there is evidence that there is no difference between the population means. OC. Because the interval includes zero, there is evidence that there is no difference between the population n OB. Because the interval includes zero, there is evidence that there is a difference between the population means. OD. Because the interval does not include zero, there is evidence that there is a difference between the population means. f. What conditions must be satisifed for the inference, parte. to be valid? Select all that apply. OA. The populations variances must be equal. Table of trap spacing measurements OB. The two sample sizes must not be the same. O C. Both sampled populations must have distributions that are approximately normal.

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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.
E Click the icon to view the table of trap spacing measurements.
b. Compute a point estimate of the target parameter.
The point estimate is
(Round to two decimal places as needed.)
c. What is the problem with using the normal (z) statistic to find a confidence interval for the target parameter?
O A. The samples are not large enough. The sampling distribution of the target parameter is approximately normal only for large samples
Oc. The population variances are the same. The sampling distribution of the target parameter is approximately normal only when the
population variances are the same.
O B. The samples are too large. The sampling distribution of the target parameter is approximately normal only for small samples.
O D. The population variances are not the same. The sampling distribution of the target parameter is approximately normal only when the
population variances are different.
d. Find a 99% confidence interval for the target parameter.
The confidence interval is ( I b.
(Round to one decimal place as needed.)
e. Use the interval, part d. to make a statement about the difference in mean trap-spacing measurements of the two fishing cooperatives
O A. Because the interval does not include zero, there is evidence that there is no difference between the population means.
O B. Because the interval includes zero, there is evidence that there is a difference between the population means
O C. Because the interval includes zero, there is evidence that there is no difference between the population means.
O D. Because the interval does not include zero, 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.
- X
O A. The populations variances must be equal.
Table of trap spacing measurements
O B. The two sample sizes must not be the same.
O C. Both sampled populations must have distributions that are approximately normal.
A Cooperative:
B Cooperative:
O D. The sample variances must be equal.
103 97 96 100
96 80
90
150 152 127 119 74 134 148 104
O E. The two samples must be randomly selected in an independent manner from the two target populations.
Transcribed Image Text: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. E Click the icon to view the table of trap spacing measurements. b. Compute a point estimate of the target parameter. The point estimate is (Round to two decimal places as needed.) c. What is the problem with using the normal (z) statistic to find a confidence interval for the target parameter? O A. The samples are not large enough. The sampling distribution of the target parameter is approximately normal only for large samples Oc. The population variances are the same. The sampling distribution of the target parameter is approximately normal only when the population variances are the same. O B. The samples are too large. The sampling distribution of the target parameter is approximately normal only for small samples. O D. The population variances are not the same. The sampling distribution of the target parameter is approximately normal only when the population variances are different. d. Find a 99% confidence interval for the target parameter. The confidence interval is ( I b. (Round to one decimal place as needed.) e. Use the interval, part d. to make a statement about the difference in mean trap-spacing measurements of the two fishing cooperatives O A. Because the interval does not include zero, there is evidence that there is no difference between the population means. O B. Because the interval includes zero, there is evidence that there is a difference between the population means O C. Because the interval includes zero, there is evidence that there is no difference between the population means. O D. Because the interval does not include zero, 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. - X O A. The populations variances must be equal. Table of trap spacing measurements O B. The two sample sizes must not be the same. O C. Both sampled populations must have distributions that are approximately normal. A Cooperative: B Cooperative: O D. The sample variances must be equal. 103 97 96 100 96 80 90 150 152 127 119 74 134 148 104 O E. The two samples must be randomly selected in an independent manner from the two target populations.
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