A company gives 4-hour boat tours for a dolphin watch. On 30 tours, the time between first leaving the dock to sighting a dolphin averaged 125 minutes. Assume a normal distribution with a standard deviation of 28 minutes. Find a 90% confidence interval for the mean time until the first dolphin sighting of all tours. Construct the confidence interval.

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A company gives 4-hour boat tours for a dolphin watch. On 30 tours, the time
between first leaving the dock to sighting a dolphin averaged 125 minutes. Assume
a normal distribution with a standard deviation of 28 minutes. Find a 90%
confidence interval for the mean time until the first dolphin sighting of all tours.
Construct the confidence interval.
Transcribed Image Text:A company gives 4-hour boat tours for a dolphin watch. On 30 tours, the time between first leaving the dock to sighting a dolphin averaged 125 minutes. Assume a normal distribution with a standard deviation of 28 minutes. Find a 90% confidence interval for the mean time until the first dolphin sighting of all tours. Construct the confidence interval.
With 90% confidence, we can say that the mean time until the first dolphin
sighting is between 116.59 and 133.41 minutes.
O With 90% confidence, we can say that the mean time until the first dolphin
sighting is between 123.35 and 126.65 minutes.
O With 90% confidence, we can say that the mean time until the first dolphin
sighting is between 115.67 and 134.33 minutes.
O With 90% confidence, we can say that the mean time until the first dolphin
sighting is between 123.46 and 126.54 minutes.
Transcribed Image Text:With 90% confidence, we can say that the mean time until the first dolphin sighting is between 116.59 and 133.41 minutes. O With 90% confidence, we can say that the mean time until the first dolphin sighting is between 123.35 and 126.65 minutes. O With 90% confidence, we can say that the mean time until the first dolphin sighting is between 115.67 and 134.33 minutes. O With 90% confidence, we can say that the mean time until the first dolphin sighting is between 123.46 and 126.54 minutes.
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