Question

The military has developed a set of eye glasses that use a algorithm to enhance target detection for soldiers in war. From decades of tests on the accuracy of soldiers in weapon training the military knows the population mean error (distance from target) is µ = 2.15 inches. A sample of n = 25 soldiers are provided the new glasses for testing and their accuracy is recorded as M = 1.95 with a standard deviation of SD = 0.75.

Calculate the t-test statistic.

Using an alpha level of α = .1 find the t-critical values.

What decision should be made regarding the null hypothesis (Ho)?

Calculate a 95% confidence interval for the true population mean accuracy of soldiers wearing the new eye glasses.

Calculate the Cohen's d measure of effect size and determine the strength of the effect.

What type of error may be committed based on the conclusion of the test?

Answer 1

Here in our test we find our Ho as false and Ho should be rejected. But if we fail to Reject the Ho by mistakenly then there will be a error and this error is called type II error . Here type II error can be made .