Question

1) Find the test​ statistic, t, to test the hypothesis that . Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Do not pool the variances. 25 30 1.5 1.9 A. 3.287 B. 4.361 C. 1.986 D. 2.892

2)

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) and​ (b) below.

Observation	1	2	3	4	5	6
A	792.2	790.5	793.9	790.7	793.2	791.5
B	800.4	788.9	798.4	786.0	793.8	790.9

​(a) Why are these​ matched-pairs data?

A.

The same round was fired in every trial.

B.

All the measurements came from rounds fired from the same gun.

C.

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

D.

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

​(b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the

α=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

di=Ai−Bi.

Identify the null and alternative hypotheses.

H0​:

μd

equals=

not equals≠

greater than>

equals=

less than<

00

H1​:

μd

not equals≠

greater than>

equals=

not equals≠

less than<

00

Determine the test statistic for this hypothesis test.

t0=nothing

​(Round to two decimal places as​ needed.)

Find the​ P-value.

​P-value=nothing

​(Round to three decimal places as​ needed.)What is your conclusion regarding

H0​?

▼

Reject

Do not reject

H0.

There

▼

is not

is

sufficient evidence at the

α=0.01

level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.

FOR NUMBER 2 NEED HELP WITH TEST STATIC AND P VALUE AND REJECT OR DO NOT REJECT AND THERE IS OR IS NOT SUFFICIENT

Answer 1

using excel>addin>phstat>two sample test>paired t

we have

Paired t Test
Data
Hypothesized Mean Difference	0
Level of significance	0.01
Intermediate Calculations
Sample Size	6
DBar	-1.0667
Degrees of Freedom	5
SD	4.6051
Standard Error	1.8800
t Test Statistic	-0.5674
Two-Tail Test
Lower Critical Value	-4.0321
Upper Critical Value	4.0321
p-Value	0.5950
Do not reject the null hypothesis

(a) Why are these​ matched-pairs data?

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

​(b)

H0​:μd=0

H1​:μd≠0

Determine the test statistic for this hypothesis test.

t0= -0.57

​(Round to two decimal places as​ needed.)

Find the​ P-value.

​P-value=0.5950

​(Round to three decimal places as​ needed.)What is your conclusion regarding

Do not rejectH0.There is not sufficient evidence at the α=0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.