8.5.59-1 Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 88.4 meters and s= 12.2 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 91 97 105 94 80 68 84 O a. Specify the null and alternative hypotheses for this test. O A. Ho: H= 95 H:u< 95 OC. Ho: H= 95 Ha u> 95 B. Ho: H= 95 H: u#95 O D. Ho: µ#95 Ha: u = 95 b. Since x= 88.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? O A. To reject the null hypothesis, the problem must specify the critical value of t. B. To reject the null hypothesis, the problem must specify the value of a and the probability that the test will lead to rejection and then consult the t or z table depending on the size of the sample. O C. To reject the null hypothesis, the problem must specify the critical value of z. O D. To reject the null hypothesis, the problem must specify the sample size. Question Viewer c. Compute the value of the test statistic. t= (Round to two decimal places as needed.)

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8.5.59-I
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster
fisherman. The mean and the standard deviation of the sample measurements are x = 88.4 meters and s= 12.2 meters, respectively, Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below.
91
97 105 94
80 68
84 D
a. Specify the null and alternative hypotheses for this test.
OA. Ho: H= 95
H:u< 95
B. Hg: H= 95
H:H495
O. H : μ 95
Ha:H> 95
O D. Ho: H#95
HaiH = 95
b. Since x= 88.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule?
O A.
To reject the null hypothesis, the problem must specify the critical value of t
OB. To reject the null hypothesis, the problem must specify the value of a and the probability that the test will lead to rejection and then consult the t or z table depending on the size of the sample.
O C. To reject the null hypothesis, the problem must specify the critical value of z.
O D. To reject the null hypothesis, the problem must specify the sample size.
Question Viewer
c. Compute the value of the test statistic.
t= (Round to two decimal places as needed.)
Transcribed Image Text:8.5.59-I Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 88.4 meters and s= 12.2 meters, respectively, Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 91 97 105 94 80 68 84 D a. Specify the null and alternative hypotheses for this test. OA. Ho: H= 95 H:u< 95 B. Hg: H= 95 H:H495 O. H : μ 95 Ha:H> 95 O D. Ho: H#95 HaiH = 95 b. Since x= 88.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? O A. To reject the null hypothesis, the problem must specify the critical value of t OB. To reject the null hypothesis, the problem must specify the value of a and the probability that the test will lead to rejection and then consult the t or z table depending on the size of the sample. O C. To reject the null hypothesis, the problem must specify the critical value of z. O D. To reject the null hypothesis, the problem must specify the sample size. Question Viewer c. Compute the value of the test statistic. t= (Round to two decimal places as needed.)
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