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Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. Travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 7272 minutes, but park scientists suspect that this average is incorrect.   To investigate, the scientists determine the waiting time until the next eruption for a random sample of 272272 Old Faithful eruptions. The waiting times have a mean of 70.897 minutes and a standard deviation of 13.595 minutes. You will use these data to carry out a significance test at the ?α = 0.05 level.

Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. Travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 7272 minutes, but park scientists suspect that this average is incorrect.   To investigate, the scientists determine the waiting time until the next eruption for a random sample of 272272 Old Faithful eruptions. The waiting times have a mean of 70.897 minutes and a standard deviation of 13.595 minutes. You will use these data to carry out a significance test at the ?α = 0.05 level.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 44E
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Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. Travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 7272 minutes, but park scientists suspect that this average is incorrect.

 

To investigate, the scientists determine the waiting time until the next eruption for a random sample of 272272 Old Faithful eruptions. The waiting times have a mean of 70.897 minutes and a standard deviation of 13.595 minutes. You will use these data to carry out a significance test at the ?α = 0.05 level.

PLAN: One-sample t test for µ. Select 2 correct statements. Random: A random sample of eruptions are selected. Random: This condition is not met. Normal/Large Sample: n = 272 is large (>30) Normal/Large Sample: This condition is not met. DO: Enter the test statistic to 2 decimal places and enter the P-value to 4 decimal places. (Use technology) t-statistic (Round to 2 decimal places) P-value = (Use technology. Round to 4 decimal places) CONCLUDE: Based on the P-value, what can you conclude about the park scientists' claim that the average time between eruptions of Old Faithful differs from 72? The correct decision is to the null hypothesis because there is at the = 0.05 level that the mean waiting times until the next eruption are different than previously claimed. a =
Transcribed Image Text:PLAN: One-sample t test for µ. Select 2 correct statements. Random: A random sample of eruptions are selected. Random: This condition is not met. Normal/Large Sample: n = 272 is large (>30) Normal/Large Sample: This condition is not met. DO: Enter the test statistic to 2 decimal places and enter the P-value to 4 decimal places. (Use technology) t-statistic (Round to 2 decimal places) P-value = (Use technology. Round to 4 decimal places) CONCLUDE: Based on the P-value, what can you conclude about the park scientists' claim that the average time between eruptions of Old Faithful differs from 72? The correct decision is to the null hypothesis because there is at the = 0.05 level that the mean waiting times until the next eruption are different than previously claimed. a =
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