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 6 794.6 792.5 794.2 794.4 790.8 793.8 B 800.1 789.8 794.4 793.5 796.0 793.4 (a) Why are these matched-pairs data? A. Two measurements (A and B) are taken on the same round. O B. All the measurements came from rounds fired from the same gun. O C. The measurements (A and B) are taken by the same instrument. 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,. ldentify the null and alternative hypotheses. Ho: Ha = 0 H: Ha * 0 Determine the test statistic for this hypothesis test. to = -0.83 (Round to two decimal places as needed.) Find the P-value. P-value = (Round three decimal places as needed.) %3D
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 6 794.6 792.5 794.2 794.4 790.8 793.8 B 800.1 789.8 794.4 793.5 796.0 793.4 (a) Why are these matched-pairs data? A. Two measurements (A and B) are taken on the same round. O B. All the measurements came from rounds fired from the same gun. O C. The measurements (A and B) are taken by the same instrument. 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,. ldentify the null and alternative hypotheses. Ho: Ha = 0 H: Ha * 0 Determine the test statistic for this hypothesis test. to = -0.83 (Round to two decimal places as needed.) Find the P-value. P-value = (Round three decimal places as needed.) %3D
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 4CYU
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- What is the P Value
- Reject H0?
- Construct a 99% confidence interval about the population
mean difference - Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (b)?
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