Question

New Automobile Ownership According to a survey, the average length of time a person keeps a new automobile is 71.4 months. The average time 30 randomly selected automobile owners kept their new automobiles was 71.2 months with \( \sigma=4.1 \) months. At the 0.10 level of significance, can it be concluded that for this type of automobile, the owners kept their new automobile less than 71.4 months? Assume that the population is normally distributed. Use the \( P \)-value method with tables. Part 1 of 5 (a) State the hypotheses and identify the claim. \[ \begin{array}{l} H_{0}: \mu=71.4 \text { not claim } \quad \boldsymbol{\nabla} \\ H_{1}: \mu<71.4 \text { claim } \quad \boldsymbol{\nabla} \end{array} \] The hypothesis test is a \( \square \) one-tailed test. Part: 1 / 5 Part 2 of 5 (b) Compute the test statistic. Always round \( z \) score values to at least two decimal places. \[ z=\square \]

          New Automobile Ownership According to a survey, the average length of time a person keeps a new automobile is 71.4 months. The average time 30 randomly selected automobile owners kept their new automobiles was 71.2 months with \( \sigma=4.1 \) months. At the 0.10 level of significance, can it be concluded that for this type of automobile, the owners kept their new automobile less than 71.4 months? Assume that the population is normally distributed. Use the \( P \)-value method with tables.

Part 1 of 5
(a) State the hypotheses and identify the claim.
\[
\begin{array}{l}
H_{0}: \mu=71.4 \text { not claim } \quad \boldsymbol{\nabla} \\
H_{1}: \mu<71.4 \text { claim } \quad \boldsymbol{\nabla}
\end{array}
\]

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

Part: 1 / 5

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

New Automobile Ownership According to a survey, the average length of time a person keeps a new automobile is 71.4 months. The average time 30 randomly selected automobile owners kept their new automobiles was 71.2 months with σ=4.1 months. At the 0.10 level of significance, can it be concluded that for this type of automobile, the owners kept their new automobile less than 71.4 months? Assume that the population is normally distributed. Use the P-value method with tables.

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

H0: μ=71.4 not claim ∇

H1: μ<71.4 claim ∇

The hypothesis test is a □ one-tailed test.

Part: 1 / 5

Part 2 of 5
(b) Compute the test statistic. Always round z score values to at least two decimal places.

z=□

Added by John D.

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