An instructor claims that the average final exam score in her class is different from the historical average of 75 75 . Write the null and alternative hypotheses in symbols. Indicate whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

{ H 0 : μ = 75 H a : μ ≠ 75 \begin{cases}H_0:\mu=75\\ H_{a}:\mu\ne75\end{cases} Two-tailed

{ H 0 : μ = 75 H a : μ > 75 \begin{cases}H_0:\mu=75\\ H_{a}:\mu>75\end{cases} Right-tailed

{ H 0 : μ ≠ 75 H a : μ = 75 \begin{cases}H_0:\mu\ne75\\ H_{a}:\mu=75\end{cases} Two-tailed

{ H 0 : μ = 75 H a : μ ≠ 75 \begin{cases}H_0:\mu=75\\ H_{a}:\mu\ne75\end{cases} Left-tailed

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9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing: Videos & Practice Problems

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Problem 95Multiple Choice

An instructor claims that the average final exam score in her class is different from the historical average of $75$ . Write the null and alternative hypotheses in symbols. Indicate whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

$2 cases Case 1: H sub 0 colon mu equals 75 Case 2: H sub a colon mu is greater than 75$

Right-tailed

$2 cases Case 1: H sub 0 colon mu is not equal to 75 Case 2: H sub a colon mu equals 75$

Two-tailed

$2 cases Case 1: H sub 0 colon mu equals 75 Case 2: H sub a colon mu is not equal to 75$

Two-tailed

$2 cases Case 1: H sub 0 colon mu equals 75 Case 2: H sub a colon mu is not equal to 75$

Left-tailed

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Steps in Hypothesis Testing: Videos & Practice Problems

An instructor claims that the average final exam score in her class is different from the historical average of 7575. Write the null and alternative hypotheses in symbols. Indicate whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

An instructor claims that the average final exam score in her class is different from the historical average of $75$ . Write the null and alternative hypotheses in symbols. Indicate whether the hypothesis test is left-tailed, right-tailed, or two-tailed.