The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the sophomores’ test scores is different to 16.1. A random sample of 20 results in scores are given below. Use a significance level of 2% to test the teacher’s claim and use the P-value method. This is the data:

MATLAB: An Introduction with Applications
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The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the sophomores’ test scores is different to 16.1. A random sample of 20 results in scores are given below. Use a significance level of 2% to test the teacher’s claim and use the P-value method.

This is the data:

46, 39, 43, 51, 26, 38, 33, 43, 29, 22, 50, 60, 20, 13, 53, 51, 46, 39, 42, 58

Enter the p-value with 4-decimal places.

show formulas and draw all curves. 

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