Pyramid Lake is on the Pakte Indian Reservation n Nevada. The lake ls famous for

Question

Pyramid Lake is on the Pakte Indian Reservation n Nevada. The lake ls famous for attro at trout. Suppose a hend tels you tat the average length of trout caught in Pyramid Lake su·19 nches. However, a survey reported that of a random length of a trout caught in Pyramid Lake is ess than -19 ides? Use ·0.05. (Use 3 decimal places for the test statistic and the critical value. Use 4 decimal places for the pvalue.) test statistic critical value sample of 22 fish caught, the mean length was x-18.1 inches, with estimated standard deviation s 3.5 inches. Do these data indicate that the average P-value 0 Reject the num nypothesis, there is "meent evidence that the average mish length is less than 19 nches. R ct th* nu" hypothesis, there is insumcient evidence that the average fish length than 19 inches. O Fall to repect the null hypothesis, there is sumcent evidence that the average fuh length iees than 19 inches. Fail to reject the null hypothesis, there is insuficient evidence that the average fish length is less than 19 inches

Explanation / Answer

null Hypothesis:
µ > 19

Alternative Hypothesis:
µ < = 19

t Test , t= x-mu/s/(sqrt(n))

Test Statistic, t: = -1.2061

df=n-1=22-1=21

Critical t: -1.7207 (from t table )

  
P-Value: 0.1206 ,one tail left tail

since , p value> alpha

option D >failed to reject null hypothesis,there is insufficient evidence to support to claim

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