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 = 3.5 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 value of the sample test statistic? (Round your answer to three decimal places.)=____ B-Sketch the sampling distribution and show the area corresponding to the P-value. C-Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? A-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D-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 = 3.5 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 value of the sample test statistic? (Round your answer to three decimal places.)=____
B-Sketch the sampling distribution and show the area corresponding to the P-value.
C-Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
A-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
C-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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