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Answer:
54.80 MPa to 55.92 MPa
Step-by-step explanation:
Sample mean fracture strength (x) = 55.36 MPa
Sample standard deviation (s) = 3.99 MPa
Sample size (n) = 196.
The upper and lower bounds for a 95% confidence interval are given by:
The upper and lower bounds of the confidence interval are;
The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa
The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
<h3>What is histogram?</h3>A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.
In the problem, the data given as,
- In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.
- In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.
- The frequency distribution in histogram for this data is inconsistent.
- This inconsistency brought the between the two graphs.
Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
Learn more about the histogram here;
