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

Josie is organizing her ribbons for a craft project. The list shows the length of each of her ribbons. \( 21.5 \mathrm{~cm}, 12.4 \mathrm{~cm}, 30.4 \mathrm{~cm}, 15.3 \mathrm{~cm}, 10.7 \mathrm{~cm}, 7.9 \mathrm{~cm}, 14.6 \mathrm{~cm}, 11.2 \mathrm{~cm} \) What is the median ribbon length? A. 12.4 cm B. 13.0 cm C. 13.5 cm D. 14.6 cm E. 15.5 cm

\( n = 5 \quad p ( \overline { x } > 500 ) \)

Here are the test scores of a class of learners: \( 100,100,99,98,92,91,91,90,88,87,87,85,85,85,80,79,76,72,67,66,45 \) a) What is the average score (mean) of the class for this test?

Use this set of numbers to answer the question. \( \begin{array}{l}4,11,6,9,23,34,6,19 \\ \text { What is the median for this set of numbers? } \\ \text { A. } 6 \\ \text { B. } 10 \\ \text { D. } 14 \\ \text { D. } 16\end{array} \)

Find the mean of: \( 1.8,1.7,1.3,1.1,1.2,1.6,1.8 \) A. 1.6 B. 1.4 C. 1.8 D. 1.1 E. 1.5