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The standard deviation of math test scores at one high school is 16.1. Use signi

ID: 3361349 • Letter: T

Question

The standard deviation of math test scores at one high school is 16.1. Use significance level of 0.01 to test whether the standard deviation of all girlsbtest scores is smaller than the standard deviation of the high school scores. Previous studies have shown that the distribution of the test scores is approximately a normal distribution. This problem is about ? One population mean, two population mean/ independent sample, two population mean/ paired samples ? Null and alternative hypothesis ? Level of significance ? Assumptions ? Stat crunch method used? If p value is 0.2909 how to show rejected or not ? I terpretaion ? The standard deviation of math test scores at one high school is 16.1. Use significance level of 0.01 to test whether the standard deviation of all girlsbtest scores is smaller than the standard deviation of the high school scores. Previous studies have shown that the distribution of the test scores is approximately a normal distribution. This problem is about ? One population mean, two population mean/ independent sample, two population mean/ paired samples ? Null and alternative hypothesis ? Level of significance ? Assumptions ? Stat crunch method used? If p value is 0.2909 how to show rejected or not ? I terpretaion ? Null and alternative hypothesis ? Level of significance ? Assumptions ? Stat crunch method used? If p value is 0.2909 how to show rejected or not ? I terpretaion ?

Explanation / Answer

a) his problem is about One population mean

b) Null: 16.1

Alt: < 16.1

c) Level of significance = 0.01

d) Assumption:

distribution of the test scores is approximately a normal distribution

e) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 andinterpreted in the following way: A small p-value (typically 0.01) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

p > 0.01

thus, null is not rejected which means the standard deviation of all girlsbtest scores is greater than the standard deviation of the high school scores.

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