\#7 A set of data has correlation coefficient \( r \). For which value of \( r \) would the average magnitude of the residuals be the smallest? a. \( r=-0.034 \) b. \( r=0.472 \) c. \( r=0.908 \) d. \( r=0.952 \)

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 11 doors is taken, and it is found that they have a mean of 2070 millimeters with a variance of 400 . Assume the population is normally distributed. is there evidence at the 0.05 level that the doors are too long and need to be trimmed? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

For the given scenario, determine the type of error that was made, If any. (Hint: Begin by determining the null and alternative hypotheses.) Economists considered \( \$ 3.110 \) as the mean price for gallon of unleaded gasoline in the United States in a certain year. One consumer claims that the mean price for gallon of unleaded gasoline in the United States in a certain year Is less than \( \$ 3.110 \). The consumer conducts a hypothesis test and rejects the null hypothesis. Assume that in reality, the mean price for gallon of unleaded gasoline in the United States in a certain year is \( \$ 3.110 \). Was an error made? If so, what type? Answer 2 Points Prev O Yes; Type I error O No; correct decision

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 11 doors is taken, and it is found that they have a mean of 2070 millimeters with a variance of 400 . Assume the population is normally distributed. Is there evidence at the 0.05 level that the doors are too long and need to be trimmed? Step 1 of \( 6: \) State the null and alternative hypotheses. Answer 2 Points

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 11 doors is taken, and it is found that they have a mean of 2070 millimeters with a variance of 400 . Assume the population is normally distributed. Is there evidence at the 0.05 level that the doors are too long and need to be trimmed? Step 3 of 6 : Specify if the test is one-tailed or two-tailed. Answer 2 Points

5. En una muestra al azar de 600 mujeres, 300 indican que están a favor de los bonos estudiantiles. Determinar un intervalo de confianza del \( 90 \% \) para la proporción de mujeres que favorecen esta ayuda.