A simple random sample of size n=16 is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the a= 0.025 level of significance. Complete parts (a) through (d) below (a) Determine the null and alternative hypotheses. Ho: 0² = 11 H₁: 0² > 11 (b) Calculate the P-value P-value= (Round to three decimal places as needed.)

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Please assist with finding the P-value 

### Statistical Hypothesis Testing: Variance

A simple random sample of size \( n = 16 \) is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the \( \alpha = 0.025 \) level of significance. Complete parts (a) through (d) below.

(a) **Determine the null and alternative hypotheses.**

\[
\begin{align*}
H_0: \sigma^2 &= 11 \\
H_1: \sigma^2 &> 11 \\
\end{align*}
\]

(b) **Calculate the P-value.**

\[
\text{P-value} = \boxed{ \quad }
\]

(Round to three decimal places as needed.)
Transcribed Image Text:### Statistical Hypothesis Testing: Variance A simple random sample of size \( n = 16 \) is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the \( \alpha = 0.025 \) level of significance. Complete parts (a) through (d) below. (a) **Determine the null and alternative hypotheses.** \[ \begin{align*} H_0: \sigma^2 &= 11 \\ H_1: \sigma^2 &> 11 \\ \end{align*} \] (b) **Calculate the P-value.** \[ \text{P-value} = \boxed{ \quad } \] (Round to three decimal places as needed.)
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