Question

Caffeine in Tea Bags In a recent study, researchers found that the average amount of caffeine in tea bags is 26 mg . The standard deviation of the population is 3 mg . If a random sample of 44 newly manufactured tea bags has a mean of 25.2 mg of caffeine, can it be concluded that the new brand of tea bags contain less caffeine than the average found in the recent study? Use \( \alpha=0.01 \), and use the \( P \)-value method with tables. Do not round intermediate calculations. Part 1 of 5 (a) State the hypotheses and identify the claim. \[ \begin{array}{l} H_{0}: \mu=26 \text { not claim } \quad \boldsymbol{\nabla} \\ H_{1}: \mu<26 \text { claim } \quad \boldsymbol{\nabla} \end{array} \] This hypothesis test is a \( \square \) one-tailed test. Part: 1 / 5 Part 2 of 5 (b) Compute the test value. Always round \( z \) score values to at least two decimal places. \[ z=\square \]

          Caffeine in Tea Bags In a recent study, researchers found that the average amount of caffeine in tea bags is 26 mg . The standard deviation of the population is 3 mg . If a random sample of 44 newly manufactured tea bags has a mean of 25.2 mg of caffeine, can it be concluded that the new brand of tea bags contain less caffeine than the average found in the recent study? Use \( \alpha=0.01 \), and use the \( P \)-value method with tables. Do not round intermediate calculations.

Part 1 of 5
(a) State the hypotheses and identify the claim.
\[
\begin{array}{l}
H_{0}: \mu=26 \text { not claim } \quad \boldsymbol{\nabla} \\
H_{1}: \mu<26 \text { claim } \quad \boldsymbol{\nabla}
\end{array}
\]

This hypothesis test is a \( \square \) one-tailed test.

Part: 1 / 5

Part 2 of 5
(b) Compute the test value. Always round \( z \) score values to at least two decimal places.
\[
z=\square
\]

Added by Lisa B.

Question

Please give Ace some feedback