A local police department made an effort to determine the average speed of automobiles travelling along a stretch of Main Street. The speed of a random selection of 35 automobiles was determined using concealed radar, yielding a two-sample mean of 45 mph and a standard deviation of 5 mph. Calculate the population mean's 95% confidence interval. Conclude your essay with a statement.

The following data represents the number of blogs that a sample of students state they follow. 12, 3, 10, 9, 0, 1, 8, 7, 3, 10, 19 Calculate the standard deviation.

Given the sample data {1, 1, 3, 4, 6}.Calculate the mean.Calculate the standard deviation.

. 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, the Creel Survey reported that of a random sample of 49 fish caught, themean length was ?̅= 18.5 inches, with estimated standard deviation ? = 3.2 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. Do we use a Normal or a Student’s t- distribution? Explain. How many degrees of freedom do we use?b. What are the hypotheses?