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. a) Estimate the P-value. choose one: P-value > 0.010 0.0010 < P-value < 0.010 0.250 < P-value < 0.0010 0.125 < P-value < 0.250 P-value < 0.125 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? choose one: At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant
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.
a) Estimate the P-value. choose one:
P-value > 0.010
0.0010 < P-value < 0.010
0.250 < P-value < 0.0010
0.125 < P-value < 0.250
P-value < 0.125
b) Sketch the sampling distribution and show the area corresponding to the P-value.
c) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? choose one:
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
In order to determine whether average length of a trout caught in the lake is less than 19 inches or not, conduct a single mean comparison hypotheses test.
The hypothesis test, will contain two hypotheses: null hypothesis and alternate hypothesis. The alternate hypothesis is about the claim which is to be tested. If p-value<α, where, α is significance level, then null hypothesis can be rejected and it can be concluded that test is significant.
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