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 4 of 6 : Find the \( P \)-value of the test statistic. You may write the \( P \)-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Select all of the possible null hypotheses from the list below. \( p=0.37 \) \( p>0.84 \) \( p<0.42 \) \( p \neq 0.10 \)

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

\( 11,16,12,7,23,9,5,5 \) What is the median of the data? B. 10 D. 11 D. 18

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

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January \( 31,2006,9 \) of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that \( 30 \% \) of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 76 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3 . You use a significance level of \( \alpha=\ldots 2 \). What is the test statistic for this sample? Use \( \hat{p} \) rounded to 4 decimal places. (Report answer accurate to 4 decimal places.) test statistic =