Suppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below: Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements.  Estimate 95% confidence interval for true mean temperature. Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite dataset

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Chapter5: Analysis Of Convection Heat Transfer
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Problem 5.2P: 5.2 Evaluate the Prandtl number from the following data: , .
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Suppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below:

  • Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements. 
  • Estimate 95% confidence interval for true mean temperature.
  • Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite dataset
Table 2
Number of data
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
F[N]
51.9
51.0
50.3
49.6
51.0
50.0
48.9
50.5
50.9
52.9
51.3
50.7
52.0
49.4
49.7
50.5
50.7
49.4
49.9
49.2
Transcribed Image Text:Table 2 Number of data 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 F[N] 51.9 51.0 50.3 49.6 51.0 50.0 48.9 50.5 50.9 52.9 51.3 50.7 52.0 49.4 49.7 50.5 50.7 49.4 49.9 49.2
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