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= 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 O a. Specify the null and alternative hypotheses for this test. O A. Ho: u= 95 O B. Ho: H= 95 HiH<95 D. Ho: = 95 OC. Ho: H+95 H3i µ = 95 H:u#95 b. Since x= 89.1 is less than 95, a fisherman wants 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 sample size. 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. OC. To reject the null hypothesis, the problem must specify the critical value of t. O D. To reject the null hypothesis, the problem must specify the critical value of z. c. Compute the value of the test statistic. t= - 1.27 (Round to two decimal places as needed.) d. Find the approximate p-value of the test. p-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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 = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below.
92
98
106
94
80
69
85 O
...
a. Specify the null and alternative hypotheses for this test.
Ο Α. H : μ= 9
Ha: µ> 95
В. Но: н3D 95
HaiH<95
Ho: H+95
Ha: µ = 95
D. Ho: μ= 95
Ha: µ+95
b. Since x = 89.1 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule?
A. To reject the null hypothesis, the problem must specify the sample size.
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.
C. To reject the null hypothesis, the problem must specify the critical value of t.
D. To reject the null hypothesis, the problem must specify the critical value of z.
c. Compute the value of the test statistic.
t= - 1.27 (Round to two decimal places as needed.)
d. Find the approximate p-value of the test.
p-value = | (Round to three decimal places as needed.)
(1,1)
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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 = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 O ... a. Specify the null and alternative hypotheses for this test. Ο Α. H : μ= 9 Ha: µ> 95 В. Но: н3D 95 HaiH<95 Ho: H+95 Ha: µ = 95 D. Ho: μ= 95 Ha: µ+95 b. Since x = 89.1 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? A. To reject the null hypothesis, the problem must specify the sample size. 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. C. To reject the null hypothesis, the problem must specify the critical value of t. D. To reject the null hypothesis, the problem must specify the critical value of z. c. Compute the value of the test statistic. t= - 1.27 (Round to two decimal places as needed.) d. Find the approximate p-value of the test. p-value = | (Round to three decimal places as needed.) (1,1) More View an example Тextbook Statcrunch Clear all Check answer
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