2. An oceanography research institute is monitoring sea surface temperatures at a large coral reef system to study conditions that lead to coral bleaching.
Mean | StDev | Min | Median | Max | |||
|---|---|---|---|---|---|---|---|
45 | 29.8 | 1.4 | 26.5 | 28.2 | 29.4 | 31.1 | 35.8 |
The institute originally considered placing a single temperature sensor near the shallowest part of the reef and recording the temperature at noon every day for 45 days. Identify a potential source of bias with this sampling method and explain how it could affect the estimate of the true mean daily maximum sea surface temperature for the entire reef.
Instead of a single sensor, the institute randomly selected 45 different locations across the entire reef system and recorded the maximum sea surface temperature (in ) at each location on a specific mid-summer day. The summary statistics for this sample are shown in Table 1.
Determine if there are any outliers in this sample using the rule. Justify your answer with appropriate calculations.
Interpret the standard deviation of in the context of this study.
The institute will issue a "Coral Bleaching Warning" if the sample data provide evidence that 25 percent or more of the reef locations experienced a maximum temperature of or higher. Based on the summary statistics in Table 1, will the institute issue the warning? Justify your answer.
00:00