Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. The confidence level of 95% was used. Complete parts (a) and (b) below. TInterval (85.74,91.76) x= 88.75 Sx = 8.897431411 n= 36 ..... The point estimate of u is 88.75 minutes. (Round to two decimal places as needed.) The margin of error is E = (Round to two decimal places as needed.) minutes.
Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. The confidence level of 95% was used. Complete parts (a) and (b) below. TInterval (85.74,91.76) x= 88.75 Sx = 8.897431411 n= 36 ..... The point estimate of u is 88.75 minutes. (Round to two decimal places as needed.) The margin of error is E = (Round to two decimal places as needed.) minutes.
MATLAB: An Introduction with Applications
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Transcribed Image Text:**Educational Content on Confidence Intervals**
Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. A 95% confidence level was used. Complete parts (a) and (b) below.
**TInterval Data:**
- **Confidence Interval:** (85.74, 91.76)
- **Sample Mean (x̄):** 88.75 minutes
- **Sample Standard Deviation (Sx):** 8.897431411 minutes
- **Sample Size (n):** 36
(a) **The Point Estimate of μ is:** 88.75 minutes
(Round to two decimal places as needed.)
(b) **The Margin of Error (E) is:** ______ minutes
(Round to two decimal places as needed.)
*Instructional Note: The point estimate is the sample mean, which provides the best estimate of the population mean μ. The confidence interval gives a range around this estimate, reflecting the precision of the estimate. The margin of error, E, represents the maximum expected difference between the sample mean and the population mean.*
**Diagram Explanation:**
There is no diagram in this data display. The information shows numerical data related to a statistical analysis of eruption times. The confidence interval provides an estimate range, indicating where the true mean of the population is likely to fall with 95% confidence.
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