Are our kids getting taller? The average height of kindergartners in 1950 was 39.5 in. The data below represents the height (in inches) of twenty-six randomly selected kindergartners. At the 5% signifi- cance level, what conclusion can be reached? 40.1 39.9 41.2 41.3 39.2 39.3 38.7 38.8 39.2 40.3 41.1 40.7 39.8 39.7 40.9 40.0 39.0 41.0 40.6 39.6 39.5 40.5 40.8 40.9 39.2 41.1

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**Question 23: Are our kids getting taller?**

The average height of kindergartners in 1950 was 39.5 inches. The data below represents the height (in inches) of twenty-six randomly selected kindergartners. At the 5% significance level, what conclusion can be reached?

**Data:**
- 40.1, 39.9, 41.2, 41.3, 39.2, 39.3, 38.7, 38.8, 39.2, 40.3
- 41.1, 40.7, 39.8, 39.7, 40.9, 40.0, 39.0, 41.0, 40.6, 39.6
- 39.5, 40.5, 40.8, 40.9, 39.2, 41.1

**Explanation:**
To determine if children are getting taller, one can perform a hypothesis test. The null hypothesis (H₀) is that the mean height of kindergartners today is equal to the mean height in 1950 (39.5 inches), and the alternative hypothesis (H₁) is that the mean height today is different than in 1950.

A t-test can be used to compare the sample mean to the historical mean of 39.5 inches, using the 5% significance level to make a statistical conclusion.
Transcribed Image Text:**Question 23: Are our kids getting taller?** The average height of kindergartners in 1950 was 39.5 inches. The data below represents the height (in inches) of twenty-six randomly selected kindergartners. At the 5% significance level, what conclusion can be reached? **Data:** - 40.1, 39.9, 41.2, 41.3, 39.2, 39.3, 38.7, 38.8, 39.2, 40.3 - 41.1, 40.7, 39.8, 39.7, 40.9, 40.0, 39.0, 41.0, 40.6, 39.6 - 39.5, 40.5, 40.8, 40.9, 39.2, 41.1 **Explanation:** To determine if children are getting taller, one can perform a hypothesis test. The null hypothesis (H₀) is that the mean height of kindergartners today is equal to the mean height in 1950 (39.5 inches), and the alternative hypothesis (H₁) is that the mean height today is different than in 1950. A t-test can be used to compare the sample mean to the historical mean of 39.5 inches, using the 5% significance level to make a statistical conclusion.
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