Question

Consider the following hypotheses: $$\begin{aligned}&H_{0}: \mu=120 \\&H_{1}: \mu \neq 120\end{aligned}$$ Given that $\bar{x}=111, \sigma=26, n=40$, and $\alpha=0.05$, answer the following questions: a. What conclusion should be drawn? b. Determine the $p$ -value for this test.

          Consider the following hypotheses:
$$\begin{aligned}&H_{0}: \mu=120 \\&H_{1}: \mu \neq 120\end{aligned}$$
Given that $\bar{x}=111, \sigma=26, n=40$, and $\alpha=0.05$, answer the following questions:
a. What conclusion should be drawn?
b. Determine the $p$ -value for this test.

Added by Donald S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

05/19/2023

Step 1

To determine the conclusion, we need to calculate the test statistic and compare it to the critical value. The test statistic for a one-sample t-test is: $$t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$$ Substituting the given values, we Show more…

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Consider the following hypotheses: $$\begin{aligned}&H_{0}: \mu=120 \\&H_{1}: \mu \neq 120\end{aligned}$$ Given that $\bar{x}=111, \sigma=26, n=40$, and $\alpha=0.05$, answer the following questions: a. What conclusion should be drawn? b. Determine the $p$ -value for this test.