Salmon (Raw Data, Software Req
Salmon (Raw Data, Software Required):Assume that the weights of Chinook Salmon in the Columbia River arenormally distributed. You randomly catch and weigh 15 such salmon.The data is found in the table below. Test the claim that the meanweight of Columbia River salmon is greater than 26 pounds. Testthis claim at the 0.01 significance level.
| (b) What is the test statistic? Round your answer to 2decimal places.t-x= ?(c) Use software to get the P-value of the test statistic.Round to 4 decimal places.P-value = ? | DATA ( n = 15 )Salmon Weights
|
Answer:
here, as the population sd is unknown , we will do 1 sample t test for mean.
hypothesis:-
necessarycalculations:-
Pounds( ) |
 |
| 25.7 | 3.264165 |
| 24.8 | 7.326225 |
| 36 | 72.13614 |
| 26.6 | 0.822105 |
| 18.9 | 74.07528 |
| 22.5 | 25.06704 |
| 33.2 | 32.41366 |
| 25.8 | 2.912825 |
| 23.5 | 16.05364 |
| 26.8 | 0.499425 |
| 32.5 | 24.93304 |
| 27.7 | 0.037365 |
| 28.8 | 1.672625 |
| 28.3 | 0.629325 |
| 31.5 | 15.94644 |
| sum= 412.6 | sum = 277.789 |
sample size (n) = 15
test statisticbe:-
degrees offreedom = (n-1) = (15-1) = 14
p value =0.1056
[ using software for, t = 1.31, df = 14, one tailed test ]
decision:-
p value = 0.1056 >0.01 (
)
so, we do not haveenough evidence to reject the null hypothesis.
conclusion:-
there is not sufficient evidence to support the claimthat the mean weight of Columbia River salmon is greater than 26pounds at 0.01 level of significance.
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