Checkpoint 11.4.2. WebWorK - Another Two Tailed Test.
A random sample of 10 observations was drawn from a large normally distributed population. The data is below.
\begin{equation*}
\begin{array}{ccccccccccc}
24 \amp 24 \amp 15 \amp 15 \amp 21 \amp 19 \amp 14 \amp 19 \amp 19 \amp 16
\end{array}
\end{equation*}
Test to determine if we can infer at the 10% significance level that the population mean is not equal to 19, filling in the requested information below.
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form \((-\infty, a)\) is expressed (-infty, a), an answer of the form \((b, \infty)\) is expressed (b, infty), and an answer of the form \((-\infty, a) \cup (b, \infty)\) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value is
D. Your decision for the hypothesis test:
- Reject \(H_1\text{.}\)
- Reject \(H_0\text{.}\)
- Do Not Reject \(H_1\text{.}\)
- Do Not Reject \(H_0\text{.}\)