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

Which of these values of the correlation coefficient indicates the weakest relationship between two variables? -0.30 -0.18 0.03 0.42

\begin{tabular}{l} In a re-analysis of published studies, Twenge and Im (2007) found that for the \\ time period 1958-2001, the need for social approval of people in the United \\ States was negatively correlated with the U.S. divorce rate during the same \\ period (the correlation coefficient was -0.38). This correlation means that _- \\ divorce rates were high when the need for social approval was high \\ the need for social approval spurred people to divorce \\ the need for social approval prevented people from seeking divorce \\ divorce rates were low when the need for social approval was high \\ \hline\end{tabular}

8. For a class project, a political science student at a large university wants to estimate the percent of students who are registered voters. She surveyed 190 students and finds that 80 are registered voters. Compute a \( 98 \% \) confidence interval for the true percent of students who are registered voters and interpret the confidence interval. (Round the answers to 4 decimal places.)

In a hypothesis test for the Pearson correlation coefficient, the null hypothesis is rejected when \( r=0 \) \( r<\alpha \) \( p<\alpha \) \( p=0 \)

Using the Pearson correlation coefficient to analyze the relationship between two variables is only appropriate if the variables are__ variables. one scale and one nominal ordinal nominal scale