Question

The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 O 794.3 791.3 793.1 794.6 793.5 793.9 801.7 790.9 799.9 790.5 793.8 793.1 A B O B. The measurements (A and B) are taken by the same instrument. C. Two measurements (A and B) are taken on the same round. O D. The same round was fired in every trial. (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a = 0.01 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let d; = A; - B;. Identify the null and alternative hypotheses. Ho:Hd VO H:Hd VO

Answer 1

(b)

This is the two tailed test .

The null and alternative hypothesis is

H₀ : $\mu$_d = 0

H₁ : $\mu$ _d$\neq$ 0