The Student s t distribution table gives critical values for the Student s t distribution Use an appropriate d f as the row

Question

The Student s t distribution table gives critical values for the Student s t distribution Use an appropriate d f as the row header For a right tailed test the column header is the value of a found in the one tail area row For a left tailed test the column header is the value of a found in the one tail area row but you must change the sign of the critical value t to t For a two tailed test the column header is the value of a from the two tail area row The critical values are the it values shown Pyramid Lake is on the Paiute Indian Reservation in Nevada The lake is famous for cutthroat trout Suppose a friend tells you that the average length of trout caught in Pyramid Lake is 18 9 inches However a survey reported that of a random sample of 46 fish caught the mean length was X 18 3 inches with estimated standard deviation s 2 8 inches Do these data indicate that the average length of a trout caught in Pyramid Lake is less than 18 9 inches Use a 0 05 Solve the problem using the critical region method of testing i e traditional method LAUSE SALT State the null and alternative hypotheses in inches Enter for as needed Ho 18 9 H 18 9 x Calculate the appropriate test statistic Round your answer to two decimal places State the critical region s Round your answers to three decimal places If the test is one tailed enter NONE for the unused region test statistic

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