In a random sample of 3941 Americans 18 and older, \( 29 \% \) of participants reported they were unmarried. Use the rule of thumb to calculate the margin of error for a \( 95 \% \) confidence interval. Round to the nearest hundredth, if necessary.

Complete the statement below. point estimate confidence interval critical value the value of a statistic that estimates the value of a parameter. confidence level

Find the standard deviation of \( x \), given that \( \Sigma 4 x^{2}=14600, \Sigma 2 x=420 \) and \( n=20 \).

If \( \mathrm{H}_{0:} \rho=0.75 \) and \( \mathrm{H}_{1:} \rho>0.75 \), then the bell-curve will be right tailed. True Oalse

A population of values has a normal distribution with \( \mu=111.2 \) and \( \sigma=39 \). You intend to draw a random sample of size \( n=231 \). Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 109.1 and 116.8 . \( P(109.1<X<116.8)=\square \)

The following data are the estimated market values (in millions of dollars) of 12 companies in the auto part business: \( 22,20,15,16,38,11,13,10,19,26,17,30 \) Round your answers in part (a) to 1 decimal place. (a) Calculate the values of \( Q_{1}, Q_{2}, Q_{3} \) \( Q_{1}=\square \) \( Q_{2}= \) \( Q_{3}= \)