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.

A. 793.4 ,792.3, 791.4 ,793.9, 794.7 ,791.7

B. 799.7, 788.6 ,797.0, 791.7 ,795.3, 787.4

(a)- why are these matched-pair data

A. all the measurements came from rounds fired from the same gun.

B. the measurements (A and B) are taken by the same instrument

C. the same round was fired in every trial

   D. Two measurements (A and B) are taken on the same round

(B) is there a difference in the measurement of the muzzle velocity between device A and B at the a=0.01 level of significance ?

let d1= a1-b1 Identify the null and alternative hypotheses

(C) determine the test statistic for this hypotheses test.

(D) find the p value

Answer 1

Matched-pair data:

Two data sets are "paired" when the following one-to-one relationship exists between values in the two data sets.

• Each data set has the same number of data points.
• Each data point in one data set is related to one, and only one, data point in the other data set.

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 6 792.90 1.00 0.41
2 6 793.28 1.00 0.41

Difference = μ (1) - μ (2)
Estimate for difference: -0.380
95% CI for difference: (-1.666, 0.906)
T-Test of difference = 0 (vs ≠): T-Value = -0.66 P-Value = 0.525 DF = 10