e. Select a value of a, the probability of Type l error. Interpret this value in thé words of O A. There would still be sufficient evidence to reject the null hypothesis if a>0.202. B. There would still be sufficient evidence to reject the null hypothesis if a = 0.001 O C. There would still be sufficient evidence to reject the null hypothesis if a>0.001 D. There would still be suficient evidence to reject the null hypothesis if a<0.202.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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14) part E
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
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?
Q 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.
OC. 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 = 0.205 (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.
O A. There would still be sufficient evidence to reject the null hypothesis if a> 0.202.
O B. There would still be sufficient evidence to reject the null hypothesis if a = 0.001
O C. There would still be sufficient evidence to reject the null hypothesis if a> 0.001
O D. There would still be sufficient evidence to reject the null hypothesis if a<0.202.
Click to select your answer and then click Check Answer.
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 = 12.2 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 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? Q 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. OC. 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 = 0.205 (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. O A. There would still be sufficient evidence to reject the null hypothesis if a> 0.202. O B. There would still be sufficient evidence to reject the null hypothesis if a = 0.001 O C. There would still be sufficient evidence to reject the null hypothesis if a> 0.001 O D. There would still be sufficient evidence to reject the null hypothesis if a<0.202. Click to select your answer and then click Check Answer.
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