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 deviations = 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 theP-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.