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 confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of \( \$ 142.00 \). Assume the population standard deviation is \( \$ 18.20 \). Construct a \( 90 \% \) confidence interval for the population mean. The \( 90 \% \) confidence interval is ( \( \square, \square \). (Round to two decimal places as needed.)

1. Estas interesado en detectar diferencias en tiempo promedio de programación de comerciales en horario estelar. Un estudio similar detecto una desviación estándar de 30 minutos. Quisieras calcular una muestra con una confiabilidad del \( 95 \% \) y un error máximo tolerable de 5 minutos en tus estimaciones. ¿Qué tan grande tiene que ser tu muestra?

\#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was -0.017 , what can be said about these results? a. As the number of hours spent studying increases, student exam performances will likely not change. b. As the number of hours spent studying inrceases, student exam performances will probably increase. c. As the number of hours spent studying increases, student exam performances will probably decrease. d. There is little evidence of a linear relationship between the number of hours spent studying and student exam performances.

3 Get a similar questlon You can retry this question below A sample of size \( n=10 \) is drawn from a population. The data is shown below. \( \begin{array}{lllll}102.8 & 115.4 & 98.2 & 96.2 & 93.3 \\ 115.4 & 81.8 & 76.1 & 115.4 & 88.9\end{array} \) What is the range of this data set? range \( =\begin{array}{ll}39.3\end{array} \) What is the standard deviation of this data set? (Round to 2 decimal places) stdev \( =16.03 \)

In a class, there are 750 learners in 1st year, 420 learners in 2 nd year. Draw a pie graph to represent the numbers of learners in these groups.

16. Bob made a picture graph of the marbles he and his friends have. How many more marbles does Bob have than Kayla? Explain ho you found the answer.