The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. Foreach round, two measurements of the velocity were recorded using two different measuring devices, resulting in thefollowing data. Complete parts (a) through (d) below.Observation 123456 C792.8 794.8 790.1 793.1 792.3791.5 802.6 788.3 802.5 791.2AB793.3797.6Click the icon to view the table of critical t-values.UU. ine 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 x = 0.01 levelof significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximatelynormally distributed with no outliers.Let d =A₁-B₁. Identify the null and alternative hypotheses.Ho: Hd = 0H₁: Hd #0Determine the test statistic for this hypothesis test.to=1.42 (Round to two decimal places as needed.)Find the critical value(s) for this hypothesis test.(Use a comma to separate answers as needed. Round to two decimal places as needed.)

Let be the population mean the difference between the measurement of the muzzle velocity between…

Answered: b) Is there a difference in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean annual temperature of a place is reported in literature to be 16.5°C. Measurements over 1992 to 2009 show a mean temperature of 14.65°C and a variance of 4.75°C. Test the hypothesis that the mean annual temperature of the place has changed from the past at a significance level of 5%.
An automatic filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s2 = 0.0153 (fluid ounces) 2. If the variance of fill volume exceeds 0.01 (fluid ounces)2, an unacceptable proportion of bottles will be underfilled or overfilled. Using a level of significance of 0.05, and assuming that fill volume has a normal distribution, answer the following questions. If χ2critical = 30.14, is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles?
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To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the table of data. ... Which conditions must be met by the sample for this test? Select all that apply. D A. The sampling method results in an independent sample. - X O B. The sample size must be large. c. The sampling method results in a dependent sample. Table of height data YD. The sample size is no more than 5% of the population size. Height of Father, X, Height of O Son, Y LE. The differences are normally distributed or the sample size is large. 71.1 76.2 Let d, = X, - Y,. Write the hypotheses for the test. 68.8 72.3 67.9 70.3…
Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) What is the probability that the total fat content of this cheese exceeds 3 (unit)? b) What is the probability that the total fat content varies from 2.8 to 3 (unit)?

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b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the x = 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.