A city park has 4 splash pads. Each splash pad is in the shape of a parallelogram with a base of 5.4 meters and a height of 3.8
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Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation:
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.
Step-by-step explanation:
The given is,
Park and movie theater are 3.4 inches apart
Map has a scale of 0.25 inch = 5 miles
Step:1
Formula to calculate the number of scales for distance between park and theater,
= 13.6
number of scales for distance between park and theater = 13.6
Step:2
Formula to convert distance inches to miles
×
= 13.6 × 5
= 68
Actual distance between park and theater = 68 miles
Result:
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.