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   A   B
1   794.9   803.7
2   793.3   792.1
3   794.5   800.4
4   794.6   792.4
5   794.7   802.0
6   792.5   792.4

(A) Determine the test statistic for the hypothesis test

t0 = (BLANK)

(B) Find the P-value.

P-value = (BLANK)

(C) Construct a​ 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results.

Lower bound is (BLANK)

Upper bound is (BLANK)

Answer 1

A) Determine the test statistic for the hypothesis test

t0 = -1.576

(B) Find the P-value.

P-value = 0.1758

(C) Construct a​ 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results.

Lower bound is -10.9706

Upper bound is 4.8039

.......................................................................

794.083333	mean A
797.166667	mean B
-3.083333	mean difference (A - B)
4.791416	std. dev.
1.956087	std. error
6.000000	n
5.000000	df
-1.576276	t
0.175785	p-value (two-tailed)
-10.970557	confidence interval 99.% lower
4.803891	confidence interval 99.% upper
7.887224	margin of error