Question

Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $ \$ 117.91 $ per square foot. A random sample of 35 new homes indicated that the mean cost was $ \$ 120.97 $ and the population standard deviation was $ \$ 18 $. Can it be concluded that the mean cost differs from $ \$ 117.91 $, using the 0.01 level of significance? Assume that the variable is normally distributed. Use the $ P $-value method with tables. Part 1 of 5 (a) State the hypotheses and identify the claim with the correct hypothesis. \[ \begin{array}{l} H_{0}: \mu=117.91 \text { not claim } \quad \mathbf{\nabla} \\ H_{1}: \mu \neq 117.91 \text { claim } \quad \mathbf{\nabla} \end{array} \] This hypothesis test is a $ \square $ two-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. \[ z=\square \]

          Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is \( \$ 117.91 \) per square foot. A random sample of 35 new homes indicated that the mean cost was \( \$ 120.97 \) and the population standard deviation was \( \$ 18 \). Can it be concluded that the mean cost differs from \( \$ 117.91 \), using the 0.01 level of significance? Assume that the variable is normally distributed. Use the \( P \)-value method with tables.

Part 1 of 5
(a) State the hypotheses and identify the claim with the correct hypothesis.
\[
\begin{array}{l}
H_{0}: \mu=117.91 \text { not claim } \quad \mathbf{\nabla} \\
H_{1}: \mu \neq 117.91 \text { claim } \quad \mathbf{\nabla}
\end{array}
\]

This hypothesis test is a \( \square \) two-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.
\[
z=\square
\]

Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $ 117.91 per square foot. A random sample of 35 new homes indicated that the mean cost was $ 120.97 and the population standard deviation was $ 18. Can it be concluded that the mean cost differs from $ 117.91, using the 0.01 level of significance? Assume that the variable is normally distributed. Use the P-value method with tables.

Part 1 of 5
(a) State the hypotheses and identify the claim with the correct hypothesis.

H0: μ=117.91 not claim ∇

H1: μ≠ 117.91 claim ∇

This hypothesis test is a □ two-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=□

Added by Lisa B.

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