wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.002 \). \( H_{o}: \mu=53.1 \) \( H_{a}: \mu \neq 53.1 \) believe the population is normally distributed, but you do not know the standard deviation. You obtain ample of size \( n=15 \) with mean \( M=56.5 \) and a standard deviation of \( S D=5.8 \). at is the \( p \)-value for this sample? (Report answer accurate to four decimal places.)

Supstion 5 of 19, Step 1 of 1 percentage of American women have shoe sizes that are greater than 9.58 ? Please do not round your answer. Answer How to enter your answer (opens in new window)

Scores on a test have a mean of 89 and a standard deviation of 7 . Calvin has a score of 79. Convert Calvin's score to a \( z \)-score, rounded to the nearest hundredth.

The grades on the second statistics test for Mr. Brown's class are in the following list. Find the frequency distribution for the grades. \[ \text { C, D, B, F, B, A, F, F, B, B, B, F, D, B, F, D, F, B, F, B, C } \]

The grades on the second statistics test for Mr. Brown's class are in the following list. Find the frequency distribution for the grades. \[ F, C, B, D, D, A, F, B, B, D, F, D, D, B, B, D, B, A, D, F, D \]

A water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 37.2 thousand bottles of water, and the cola bottling facility bottled 27.7 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer