91 98 105 94 79 68 84 C -value = (Round to three decimal places as needed.) - Select a value of a, the probability of Type I error. Interpret this value in the words of the problem. OA. There would still be sufficient evidence to reject the null hypothesis if a > 0.206. OB. There would still be sufficient evidence to reject the null hypothesis if a > 0.001 OC. There would still be sufficient evidence to reject the null hypothesis if a <0.206. OD. There would still be sufficient evidence to reject the null hypothesis if a = 0.001 nterpret this value in the words of the problem. OA. A Type I error would be to conclude that the true mean of the trap spacing measurements is 88.4 when, in fact, the mean is equal to 95. OB. A Type I error would be to conclude that the true mean of the trap spacing measurements is not 95 when, in fact, the mean is equal to 95. OC. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is not equal to 95. OD. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is equal to 88.4.

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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 = 88.4 meters and s = 12.4 meters, respectively. Suppose
you want to determine if the true value of μ differs from 95 meters. Complete parts a through h below.
91 98 105 94 79 68 84
p-value= (Round to three decimal places as needed.).
e. Select a value of a, the probability of Type I error. Interpret this value in the words of the problem.
OA. There would still be sufficient evidence to reject the null hypothesis if a > 0.206.
OB. There would still be sufficient evidence to reject the null hypothesis if a > 0.001
OC. There would still be sufficient evidence to reject the null hypothesis if a < 0.206.
OD. There would still be sufficient evidence to reject the null hypothesis if α = 0.001
Interpret this value in the words of the problem.
OA. A Type I error would be to conclude that the true mean of the trap spacing measurements is 88.4 when, in fact, the mean is equal to 95.
OB. A Type I error would be to conclude that the true mean of the trap spacing measurements is not 95 when, in fact, the mean is equal to 95.
OC. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is not equal to 95.
OD. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is equal to 88.4.
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 and s = 12.4 meters, respectively. Suppose you want to determine if the true value of μ differs from 95 meters. Complete parts a through h below. 91 98 105 94 79 68 84 p-value= (Round to three decimal places as needed.). e. Select a value of a, the probability of Type I error. Interpret this value in the words of the problem. OA. There would still be sufficient evidence to reject the null hypothesis if a > 0.206. OB. There would still be sufficient evidence to reject the null hypothesis if a > 0.001 OC. There would still be sufficient evidence to reject the null hypothesis if a < 0.206. OD. There would still be sufficient evidence to reject the null hypothesis if α = 0.001 Interpret this value in the words of the problem. OA. A Type I error would be to conclude that the true mean of the trap spacing measurements is 88.4 when, in fact, the mean is equal to 95. OB. A Type I error would be to conclude that the true mean of the trap spacing measurements is not 95 when, in fact, the mean is equal to 95. OC. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is not equal to 95. OD. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is equal to 88.4.
Expert Solution
Step 1: Introduction

Given that information

Sample mean = barx=88.4

Sample standard Deviation=s=12.4

Sample size=n =7

Null and alternative hypothesis

Ho:mu=95 and Ha:mu ≠ 95

This is two tailed test 

Test statistic t =(x-mu)/s/√n

                          =(88.4-95)/12.4/√7

                          = -1.408(approximately)



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