You are given the sample mean and the population standard deviation. Use this information to construct the 90 and \( 95 \% \) confidence intervals for the population mean. Interpret the results and compare the widths of the confil intervals. From a random sample of 44 business days, the mean closing price of a certain stock was \( \$ 115.05 \). Assume the population standard deviation is \( \$ 9.77 \). The \( 90 \% \) confidence interval is \( (\square, \square) \). (Round to two decimal places as needed.) The \( 95 \% \) confidence interval is \( (\square, \square) \). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The \( 90 \% \) confidence interval Therpret the results.

and program administration. Hence, above and beyond all else, these individuals will primarily determine the outcomes of students. The effective practice literature clearly supports that well-trained and qualified teachers and support personnel are the predominant ingredient in successful programs for students with EBD (Blood \& Neel, 2007; Downing, 2007; Jones \& Jones, 2004; Morse, 1994; Walker, Shea, \& Bauer, 2004). Without a doubt there is an undeniable connection between educational outcomes of students and the quality of their teachers (Darling-Hammond, 1999; Darling- Hammond \& Youngs, 2002; Ehrenberg \& Brewer, 1994; Sutherland et al., 2008). Wayne and Youngs's (2003) obser- vation that "both intuition and empirical research tell us that the achievement of school children depends substan- tially on the teachers they are assigned" (p. 89) is a pithy acknowledgement of this clear fact. In spite of mandates and overwhelming evidence that

\( |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\mid \) A student drops a heavy ball from a vertical height of 1.8 m above the ground. The ball then falls to the ground. It does not bounce after hitting the ground. (a) Describe the transfers of energy of the ball between stores from when the ball begins to fall to when it reaches the ground.

\( \int \frac { x ^ { 2 } + x - 2 } { x ^ { 3 } + 6 } d x \)

Find the critical points of the following function. \[ f(x)=\frac{e^{x}+e^{-x}}{10} \]

The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately \( 12.4^{\circ} \). If skyscraper \( B \) is 1451 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same elevation. The distance from skyscraper A to skyscraper B is \( \square \) feet. (Round to two decimal places as needed.)