Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous f
ID: 3155678 • 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 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.9 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use = 0.05.
(a) What is the level of significance?
(b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find the P-value. (Round your answer to four decimal places.)
Explanation / Answer
a)
As given,
alpha = 0.05. [ANSWER]
*************************
b)
Formulating the null and alternative hypotheses,
Ho: u >= 19
Ha: u < 19
As we can see, this is a left tailed test.
Getting the test statistic, as
X = sample mean = 18.6
uo = hypothesized mean = 19
n = sample size = 46
s = standard deviation = 2.9
Thus, z = (X - uo) * sqrt(n) / s = -0.935493791 [ANSWER, TEST STATISTIC]
***************************
c)
Also, the p value is, as this is one tailed,
p = 0.174766941 [ANSWER]
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.