d. Find the approximate p-value of the test. p-value = (Round to three decimal places as needed.)

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14) part D
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 ands= 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. Opocny uo TIur arnu aILGITIauvo nypoUIo3oa TU una voa
O A. Ho: H= 95
H3: H< 95
Ув. Но: и 95
HaiH#95
O. H : μ= 95
Ha:u> 95
O D. Ho: u#95
H: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.
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 thetor 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.
c. Compute the value of the test statistic.
t= - 1.42 (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.
(1,1)
More
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= 88.4 meters ands= 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. Opocny uo TIur arnu aILGITIauvo nypoUIo3oa TU una voa O A. Ho: H= 95 H3: H< 95 Ув. Но: и 95 HaiH#95 O. H : μ= 95 Ha:u> 95 O D. Ho: u#95 H: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. 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 thetor 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. c. Compute the value of the test statistic. t= - 1.42 (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. (1,1) More
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