According to a survey, \( 35 \% \) of adults of a certain country do not own a credit card (a) Suppose a simple random sample of 900 adults is asked, "Do you own a credi Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \). A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p}) \geq 10 \) C. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-\mathrm{p})<10 \) D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-\mathrm{p}) \geq 10 \) Determine the mean of the sampling distribution of \( \hat{p} \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p})<10 \) \( \mu_{\hat{p}}=0.35 \) (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of \( \hat{p} \). \( \sigma_{\hat{p}}=\square \) (Round to three decimal places as needed.)

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

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 439 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scehario. Answer 2 Points

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.

4. Sospechamos que nuestro cromatógrafo está estropeado, y queremos determinar si los resultados que nos proporciona son lo suficientemente precisos. Para ello, realizamos una serie de 8 mediciones del contenido de una solución de referencia que, sabemos, contiene 90 ml . de un determinado compuesto. Los resultados que obtenemos en ml. son: \( 93.3 \quad 86.890 .490 .194 .9 \quad 91.6 \quad 92.3 \quad 96.5 \) Construir un intervalo de confianza al nivel de \( 95 \% \) para la media poblacional. ¿Qué conclusiones podemos realizar?

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 1 of \( 6: \) State the null and alternative hypotheses. Answer 2 Points