Question

the governor of a state wanted to assess the public education system of the state. she instructed a group of researchers to create a test to assess the knowledge of every high school senior in the state. the researchers administered the tests and found that the average score was 77 points out of 100, with a standard deviation of 17 points. complete parts (a) through (c) below. a. identify the population and variable. choose the correct population below. a. the population is the group of every states governor. b. the population is the group of all high school seniors in the state. c. the population is the group of all high school students in the state. d. the population is the group of all high school teachers in the state. choose the correct variable below. a. the variable is the number of high school seniors. b. the variable is the number of high school students. c. the variable is the test length. d. the variable is the test score. b. for samples of size 200, find the mean \\( \mu_{\bar{x}} \\) and standard deviation \\( \sigma_{\bar{x}} \\) of all possible sample mean test scores. \\( \mu_{\bar{x}}=\square \\) (type an integer or a decimal.)

Explanation:

Step1: Recall the property of the sample mean of sampling distribution

The mean of the sampling distribution of the sample mean \(\mu_{\bar{x}}\) is equal to the population mean \(\mu\).

Step2: Substitute the given population mean

Given that the population mean \(\mu = 77\), so \(\mu_{\bar{x}}=77\)

Answer:

\(77\)