1. The problem asks to draw a smooth curve through the tops of the bars of a histogram constructed from sample averages for $n=5$ days, and then describe the general shape of the curve. 2. A histogram with bars touching each other represents the frequency distribution of the sample means, with bar widths of $\frac{1}{2}$ day. 3. To draw the smooth curve, connect the midpoints of the tops of the bars with a smooth, continuous line that follows the general trend of the frequencies. 4. The general shape of the curve is typically bell-shaped or mound-shaped, indicating a normal-like distribution of the sample means. 5. This shape reflects the Central Limit Theorem, which states that the distribution of sample means tends to be normal as sample size increases. 6. Therefore, the smooth curve through the histogram bars will rise to a peak near the center and taper off symmetrically on both sides, showing the frequency of sample means around the average time. Final answer: The smooth curve is bell-shaped, peaking near the center of the histogram and tapering off symmetrically, indicating a normal distribution of sample means for $n=5$ days.