d. A sample of 6 durations have values: 4.850, 2.200, 2.900, 4.367, 1.750, 3.966. What is the mean of this sample? e. What is the standard deviation of the sample in d.

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The attached plots were constructed using a sample of 272 observations. Each observation gives the elapsed time (in minutes) of an eruption of Old Faithful geyser in Yellowstone national park.

d. A sample of 6 durations have values: 4.850, 2.200, 2.900, 4.367, 1.750, 3.966. What is the mean of this sample?

e. What is the standard deviation of the sample in d. if ∑ni=1x2i=74.635∑i=1nxi2=74.635?( attached as pic)

f. Give the shape and parameters of the sampling distribution of the sample mean when n=272n=272 if μ=3.4μ=3.4 and σ=1.16σ=1.16. Explain how you know the shape the distribution takes on.

e. What is the standard deviation of the sample in d. if E x? = 74.635?
Transcribed Image Text:e. What is the standard deviation of the sample in d. if E x? = 74.635?
Boxplot of the Duration of Eruptions (in Mins)
Histogram of the Duration of Eruptions (in Mins)
20
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
Duration (In Minutes)
Duration (In Minutes)
Frequency
15
Transcribed Image Text:Boxplot of the Duration of Eruptions (in Mins) Histogram of the Duration of Eruptions (in Mins) 20 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Duration (In Minutes) Duration (In Minutes) Frequency 15
Expert Solution
Step 1

Given:-

sample - 4.850, 2.200, 2.900, 4.367, 1.750, 3.966

sample size(n)=6

 

formula-

mean (μ) =ixin

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