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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous f

ID: 3233624 • Letter: P

Question

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 = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use = 0.05.

What is the value of the sample test statistic? (Round your answer to three decimal places.)
4

Find the P-value. (Round your answer to four decimal places.)    

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of population
H0 : = 19
HA : < 19

Hypothesis test results:

Hence,

Test statistic = -0.921

P - value = 0.1806

Mean Sample Mean Std. Err. DF T-Stat P-value 18.6 0.43408683 50 -0.92147464 0.1806