Question

question 7, 7.3.13
part 2 of 4
hw score: 21.75%, 4.79 of 22 points
points: 0 of 1
use a t - test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. assume the population is normally distributed.
claim: μ = 52,600; α = 0.01 sample statistics: x̄ = 51,224, s = 2300, n = 20
click the icon to view the t - distribution table.
a. h₀: μ ≥ 52,600
hₐ: μ < 52,600
b. h₀: μ ≤ 52,600
hₐ: μ > 52,600
c. h₀: μ ≠ 52,600
hₐ: μ = 52,600
d. h₀: μ = 52,600
hₐ: μ ≠ 52,600
what is the value of the standardized test statistic?
the standardized test statistic is (round to two decimal places as needed.)

Explanation:

Step1: Calculate the standardized test statistic formula

The formula for the \(t -\)test statistic is \(t=\frac{\bar{x}-\mu}{s/\sqrt{n}}\)

Step2: Substitute the values

Given \(\bar{x} = 51224\), \(\mu=52600\), \(s = 2300\), \(n = 20\)

$$
LATEXBLOCK0
$$

Answer:

\(-2.68\)