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=91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of μ differs from 95 meters. Complete parts a through h below. 94 100 108 97 83 71 87 Q a. Specify the null and alternative hypotheses for this test. OA. Ho: μ = 95 H₂: μ<95 OB. Ho: μ = 95 H₂:μ>95 OC. Ho: #95 H₂:μ = 95 b. Since x = 91.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? OA. To reject the null hypothesis, the problem must specify the sample size. OB. To reject the null hypothesis, the problem must specify the critical value of z. OC. 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.. To reject the null hypothesis, the problem must specify the critical value of t. ompute the value of the test statistic. (Round to two decimal places as needed.) d. Find the approximate p-value of the test. O D. Ho: μ = 95 H₂: μ#95

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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 = 91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. Complete parts a through h below.
μ
94 100 108 97 83 71 87
a. Specify the null and alternative hypotheses for this test.
OA. Ho: μ = 95
Ha: μ<95
OC. Ho: μ#95
Ha: μ = 95
b. Since x = 91.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule?
To reject the null hypothesis, the problem must specify the critical value of t.
1
OA. To reject the null hypothesis, the problem must specify the sample size.
OB. To reject the null hypothesis, the problem must specify the critical value of z.
OC. 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.
Compute the value of the test statistic.
(Round to two decimal places as needed.)
O B. Ho: μ = 95
Ha: μ> 95
d. Find the approximate p-value of the test.
OD. Ho: μ = 95
H₂:μ #95
a
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Transcribed Image Text: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 = 91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. Complete parts a through h below. μ 94 100 108 97 83 71 87 a. Specify the null and alternative hypotheses for this test. OA. Ho: μ = 95 Ha: μ<95 OC. Ho: μ#95 Ha: μ = 95 b. Since x = 91.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? To reject the null hypothesis, the problem must specify the critical value of t. 1 OA. To reject the null hypothesis, the problem must specify the sample size. OB. To reject the null hypothesis, the problem must specify the critical value of z. OC. 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. Compute the value of the test statistic. (Round to two decimal places as needed.) O B. Ho: μ = 95 Ha: μ> 95 d. Find the approximate p-value of the test. OD. Ho: μ = 95 H₂:μ #95 a MacBook Pro Next
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 = 91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. Complete parts a through h below.
μ
94 100 108 97 83 71 87
a. Specify the null and alternative hypotheses for this test.
OA. Ho: μ = 95
Ha: μ<95
OC. Ho: μ#95
Ha: μ = 95
b. Since x = 91.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule?
To reject the null hypothesis, the problem must specify the critical value of t.
1
OA. To reject the null hypothesis, the problem must specify the sample size.
OB. To reject the null hypothesis, the problem must specify the critical value of z.
OC. 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.
Compute the value of the test statistic.
(Round to two decimal places as needed.)
O B. Ho: μ = 95
Ha: μ> 95
d. Find the approximate p-value of the test.
OD. Ho: μ = 95
H₂:μ #95
a
MacBook Pro
Next
Transcribed Image Text: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 = 91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. Complete parts a through h below. μ 94 100 108 97 83 71 87 a. Specify the null and alternative hypotheses for this test. OA. Ho: μ = 95 Ha: μ<95 OC. Ho: μ#95 Ha: μ = 95 b. Since x = 91.4 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? To reject the null hypothesis, the problem must specify the critical value of t. 1 OA. To reject the null hypothesis, the problem must specify the sample size. OB. To reject the null hypothesis, the problem must specify the critical value of z. OC. 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. Compute the value of the test statistic. (Round to two decimal places as needed.) O B. Ho: μ = 95 Ha: μ> 95 d. Find the approximate p-value of the test. OD. Ho: μ = 95 H₂:μ #95 a MacBook Pro Next
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