1. Astronauts increased in height by an average of approximately 40 mm (about an inch and a half) during the Apollo-Soyuz missions, due to the absence of gravity compressing their spines during their time in space. Does something similar happen here on Earth? An experiment supported by NASA measured the heights of six men immediately before going to bed, and then again after three days of bed rest (Styf et al. 1997). On average, they increased in height by 14 mm, with standard deviation 0.66 mm. Find the 95% confidence interval for the change in height after three days of bed rest.

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Find the 95% confidence interval.

**Title: Height Changes Due to Microgravity and Bed Rest**

**Astronaut Height Changes:**

During the Apollo-Soyuz missions, astronauts experienced an increase in height by an average of approximately 40 mm (about an inch and a half). This height change occurred because the absence of gravity in space reduces spinal compression.

**Earth-Based Experiment:**

A study supported by NASA explored whether similar height changes occur on Earth. The experiment involved measuring the heights of six men before and after three days of bed rest (Styf et al. 1997).

**Findings:**

- On average, participants increased in height by 14 mm.
- The standard deviation of the height increase was 0.66 mm.

**Task:**

Calculate the 95% confidence interval for the change in height after three days of bed rest.
Transcribed Image Text:**Title: Height Changes Due to Microgravity and Bed Rest** **Astronaut Height Changes:** During the Apollo-Soyuz missions, astronauts experienced an increase in height by an average of approximately 40 mm (about an inch and a half). This height change occurred because the absence of gravity in space reduces spinal compression. **Earth-Based Experiment:** A study supported by NASA explored whether similar height changes occur on Earth. The experiment involved measuring the heights of six men before and after three days of bed rest (Styf et al. 1997). **Findings:** - On average, participants increased in height by 14 mm. - The standard deviation of the height increase was 0.66 mm. **Task:** Calculate the 95% confidence interval for the change in height after three days of bed rest.
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