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.)
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.)
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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