For a hypothesis test of a single population mean with unknown population standard deviation (g), we can use either Geogebra or Minitab. the "Stotiation" toh in the Drohob

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For a hypothesis test of

\( H_0 : \mu = 75 \) versus \( H_A : \mu \neq 75 \):

- The given sample has a test statistic of [input field].
- The P-value for the test is [input field].
Transcribed Image Text:For a hypothesis test of \( H_0 : \mu = 75 \) versus \( H_A : \mu \neq 75 \): - The given sample has a test statistic of [input field]. - The P-value for the test is [input field].
For a hypothesis test of a single population mean with unknown population standard deviation (\(\sigma\)), we can use either Geogebra or Minitab.

**In Geogebra:** 
Use the "Statistics" tab in the Probability Calculator. Click the drop-down menu near the top (default is "Z Test of a Mean") and choose "T Test of a Mean."

**In Minitab:** 
Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Checkmark "Perform Hypothesis Test" and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis.

**For both:**
Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with \(\bar{x} = 73.2, s = 14.16, n = 16\).

---

**For a hypothesis test of \(H_0: \mu = 70\) versus \(H_A: \mu > 70\):**

- The given sample has a test statistic of \([Input]\).
- The P-value for the test is \([Input]\).

---

**For a hypothesis test of \(H_0: \mu = 75\) versus \(H_A: \mu < 75\):**

- The given sample has a test statistic of \([Input]\).
- The P-value for the test is \([Input]\).
Transcribed Image Text:For a hypothesis test of a single population mean with unknown population standard deviation (\(\sigma\)), we can use either Geogebra or Minitab. **In Geogebra:** Use the "Statistics" tab in the Probability Calculator. Click the drop-down menu near the top (default is "Z Test of a Mean") and choose "T Test of a Mean." **In Minitab:** Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Checkmark "Perform Hypothesis Test" and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis. **For both:** Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with \(\bar{x} = 73.2, s = 14.16, n = 16\). --- **For a hypothesis test of \(H_0: \mu = 70\) versus \(H_A: \mu > 70\):** - The given sample has a test statistic of \([Input]\). - The P-value for the test is \([Input]\). --- **For a hypothesis test of \(H_0: \mu = 75\) versus \(H_A: \mu < 75\):** - The given sample has a test statistic of \([Input]\). - The P-value for the test is \([Input]\).
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