Standard x-ray machines should give radiation dosages below 5.00 mill roentgens.To test a certain x-ray machine a sample of 36 observations is taken with a mean of 4.13 m.and a standard deviation of 1.91 m.Calculate the p-value for this test statistic.
A)0.0032
B)0.0001
C)0.3264
D)0.0064
E)-0.0032

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for the z-score: $ z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} $. Here, $\bar{x} = 4.13$, $\mu = 5.00$, $\sigma = 1.91$, and $n = 36$. The calculated z-score is approximately -2.73. The p-value for a z-score of -2.73 is approximately 0.0032.

Standard X-Ray Machines Should Give Radiation Dosages Below 5