Question

revstats 7.1-7.4
:hit the link to get demos access
1 multiple choice 1 point
ms. eisenman wanted to know her average students score on the most recent chapter test and what proportion of her 108 students scored an a or a b on the test. the average score of the 108 students on the test was 78.58 and 73 of the 108 students scored an a or a b on the test. which of the following is the correct representation of the average grade and the proportion of students that scored an a or a b on the test?
$mu = 78.58$ and $p = 0.676$, both are parameters.
$\bar{x} = 78.58$ 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 point
the 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
which of the following is the correct representation of the average amount of time and the standard deviation of the time it took

Explanation:

1. First, identify the population: all 108 of Ms. Eisenman's students. We have data for the entire population, not just a sample.
2. The population mean is represented by $\mu$, so the average score of all students is $\mu = 78.58$.
3. Calculate the population proportion of students with A/B: $p = \frac{73}{108} \approx 0.676$.
4. Values that describe an entire population are called parameters, so both values are parameters.

Answer:

$\mu = 78.58$ and $p = 0.676$, both are parameters.