Question

1. $\bar{x}=78.58$ and $hat{p}=0.676$, both are statistics.$mu=78.58$ and $hat{p}=0.676$, 78.58 is a parameter, but 0.676 is a statistic.$\bar{x}=78.58$ and $p=0.676$, 78.58 is a statistic, but 0.676 is a parameter.2 multiple choice 1 pointthe principal at a local high school asked 100 random students how many minutes it takes them to get to school in the morning. the average time it took the students to get to school was 12.05 minutes with a standard deviation of 3.75 minutes. which of the following is the correct representation of the average amount of time and the standard deviation of the time it took students to get to school?$mu=12.05$ minutes and $sigma=3.75$ minutes, both are parameters.$\bar{x}=12.05$ minutes and $sigma=3.75$ minutes, 12.05 is a statistic, but 3.75 a parameter.$\bar{x}=12.05$ minutes and $s=3.75$ minutes, both are statistics.$mu=12.05$ minutes and $s=3.75$ minutes, 12.05 is a parameter. but 3.75 is a statistic.

Explanation:

Step1: Define statistic vs parameter

A statistic describes a sample; a parameter describes an entire population. Here, 100 students are a sample of all high school students.

Step2: Match notation to sample

Sample mean is denoted $\bar{x}$, sample standard deviation is denoted $s$. Both values describe the sample, so they are statistics.

Answer:

$\bar{x}=12.05$ minutes and $s=3.75$ minutes, both are statistics.