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 A 790.4 790.7 790.2 792.8 794.3 792.3 B 792.9 786.3 797.9 790.7 803.6 787.5 (a) Why are these matched-pairs data? A. All the measurements came from rounds fired from the same gun. B. Two measurements (A and B) are taken on the same round. Your answer is correct. C. The same round was fired in every trial. 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= 00 H1: μd not equals≠ 00 Determine the test statistic for this hypothesis test. t0= (need this answser) (Round to two decimal places as needed.)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 14P

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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
A	790.4	790.7	790.2	792.8	794.3	792.3
B	792.9	786.3	797.9	790.7	803.6	787.5

(a) Why are these matched-pairs data?

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

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

Your answer is correct.

The same round was fired in every trial.

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=

H1:

μd

not equals≠

Determine the test statistic for this hypothesis test.

t0= (need this answser)

(Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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