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Old Faithful Geyser in Yellowstone National Park derives its names and fame from the regularity (and beauty) of its eruptions. Rangers usually post the predicted times of eruptions for visitors. R. A. Hutchinson, a park geologist, collected measurements of the eruption durations (in minutes) and the subsequent time intervals before the next eruption (in minutes) over an 8-day period. Help rangers use the data to explain the relationship between duration and subsequent time to the next eruption. Then, help them use that relationship to predict when next eruptions will occur. Provide the ranger with an estimate of the mean length of time until the next eruption after one lasting for 4 minutes. Also, provide the ranger with a prediction of how many minutes visitors will have to wait after a future eruption lasting 4 minutes. Be sure to give the rangers appropriate uncertainty intervals to go with estimates and/or predictions. Also, provide the rangers with a plot. Hints:
1. You can ignore \DATE" for the purpose of doing the analysis, but I expect you to discuss it when you are checking assumptions within the Statistical Procedures Used section. What plot could you make to help assess independence?
2. You will really have three different summary statements to make in your Summary of Statistical Findings. One describing the relationship (and evidence for there being a relationship), one describing estimation of a mean, and one describing a prediction.
3. Use the Big Bang Case Study for example R-code.
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If the data set contains an odd number of items, the middle item of the array is the median. If there is an even number of items, the median is the average of the two items. If the
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Use the information given below to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to
A sample of college students and a separate sample of adults aged 30-59 were surveyed regarding the amount of fruit they eat each day. The results are shown in the histograms belo
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for this proportion, use the +-2 rule of thumb to determine the 95 percent confidence interval. when asked if they are satisfied with their financial situation, .29 said "very sat
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