Question

Salmon (Raw Data, Software Required):
Assume that the weights of Chinook Salmon in the Columbia River are normally distributed. You randomly catch and weigh 15 such salmon. The data is found in the table below. Test the claim that the mean weight of Columbia River salmon is greater than 27 pounds. Test this claim at the 0.10 significance level.

(a) What type of test is this?

This is a two-tailed test.This is a left-tailed test.     This is a right-tailed test.

(b) What is the test statistic? Round your answer to 2 decimal places.
t

_x

=  

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places.
P-value =  

(d) What is the conclusion regarding the null hypothesis?

reject H₀fail to reject H₀     

(e) Choose the appropriate concluding statement.

The data supports the claim that the mean weight of Columbia River salmon is greater than 27 pounds.There is not enough data to support the claim that the mean weight of Columbia River salmon is greater than 27 pounds.     We reject the claim that the mean weight of Columbia River salmon is greater than 27 pounds.We have proven that the mean weight of Columbia River salmon is greater than 27 pounds.

    

DATA ( n =  15 )
Salmon Weights

Pounds
27.2
26.3
37.5
28.1
20.4
24.0
34.7
27.3
25.0
28.3
34.0
29.2
30.3
29.8
33.0

Answer 1