Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. \( \begin{array}{l}H_{0}: p=0.3 \text { versus } H_{1}: p>0.3 \\ n=200 ; x=65 ; \alpha=0.05 \\ \text { Click here to view page } 1 \text { of the table. Click here to view page } 2 \text { of the table. } \\ \text { Calculate the test statistic, } z_{0} \text {. } \\ z_{0}=\square \\ \text { (Round to two decimal places as needed.) } \\ \text { Identify the P-value. } \\ \text { P-value }=\square \\ \text { (Round to three decimal places as needed.) }\end{array} \).

A water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles, A nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.9 thousand bottles of water, and the cola bottling facility bottled 27.9 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

Construct a box plot from the given data. Diameters of Cans in an Assembly Line: \( 5.8,5.7,5.2,5.5,5.3,5.7,5.8,5.4,5.9,5.3 \)

A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.8 thousand bottles of water, and the cola bottling facility bottled 28.4 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

In how many ways can a committee of 5 students be formed from 10 students?

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.