Titanium alloys have very high hardness. Adding small amounts of copper tends to improve their properties, such ashardness. In order to evaluate the effect of copper addition on hardness of titanium alloys, 10 random casts with 5%copper were made in an argon-arc melting furnace. The Rockwell hardness was determined for each of the casts. Then,the casts were subjected to high temperature (HT) and hardness was determined again in the second row. Assumehardness follows a normal distribution. Use the data below to answer the next three questions.248 246 245 251 248 250 247 246 243 244HARD5HARD5HT 250 247 246 251 251 253 248 246 249 247(a) Do the data provide evidence that high temperature increases the hardness of 5% copper alloys, on average? What isthe distribution of the test statistic under the null hypothesis and the exact p-value?O t-distribution with df = 18; p-value = 0.0862O t-distribution with df = 9; p-value = 0.00712O t-distribution with df = 9; p-value = 0.00356O t-distribution with df = 18; p-value = 0.9569O t-distribution with df = 18; p-value = 0.0431(b) What is the BEST CORRESPONDING 95% confidence interval or bound for Hd, where d = xH5 - XH5HT?О (3.306, о0)O (-3.306, -0.694)O (-00, -0.942)O (-3.058, ∞)О (00, -0.694)

Test is that whether high temperature increases the hardness of 5% copper alloys.

Answered: (a) Do the data provide evidence that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Determine the p-value corresponding to z for the observed level of the statistic in one-tailed tests (a) z= 1.64 (b) z = -1.64 (c) z= 2.76 (d) z = -2.76 (e) z = 0.00 (f) z = -1.645
Q16 Use t distribution table and normal standard distribution table
In a left-tailed hypothesis for a population mean where the population standard deviation is unknown, the test statistic for a random sample size 18 was calculated to be -4.0545. Determine the P-value for the test. X
llMetro by T-Mobile X Group Work-Worksheet#1 on Ch... 1 of 2 Group Work-Worksheet#1 on Chapter 3 0.14% → 1. The Empirical Rule Based on Data Set 1" Body Data" in appendix B, blood platelet counts of women have a normal/bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/μL.) Using the empirical rule: -30 2.14% 1:40 PM 13.59% 99.73% 95.44% 68.26% 34.13% 34.13% 13.59% 77% 2.14% -20 -10 Mean lo 20 За a. 68.26% of women with platelet counts are within two standard deviations of the mean? The values are from ( b. 95.44% of women with platelet counts are within two standard deviations of the mean? The values are from ( 000 c. 99.73% of women with platelet counts are within two standard deviations of the mean? The values are from ( 0.14%
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 1515% of UGPAs? (b) Between what two values does the middle 5050% of the UGPAs lie? mean is 3.22 standard deviation is 0.21
An SRS of 450 high school seniors gained an average of x¯=20.84 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation σ=47.81. We want to estimate the mean change in score ? in the population of all high school seniors. (a) Using the 68 – 95 – 99.7 Rule or the z-table (Table A), give a 95% confidence interval (?,?) for ? based on this sample.
We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
A population of values has a normal distribution with u = 178.1 and o = 16.4. You intend to draw a random sample of size n = 39. Find Pgs, which is the mean separating the bottom 85% means from the top 15% means. Pas (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted.
The additional growth of plants in one week are recorded for 11 plants with a sample standard deviation of 2 inches and sample mean of 12 inches. t* at the 0.05 significance level = Ex: 1.234 Margin of error = Ex: 1.234 Confidence interval = [ Ex: 12.345 E, Ex: 12.345 ]
Find the P-value for a two-tailed test about a population mean of 49.1 with n = 83, sample standard deviation of 3.35, sample mean of 45.21 and 95% confidence level. less than 0.000 higher than 0.000 higher than 0.10 equal to 0.05
A population of values has a normal distribution with mean= 107.9 and sd= 99.9. You intend to draw a random sample of size n = 100. Find P11, Which is the mean separating the bottom 11% means from the top 89% means. P11 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=28, mean of x= 49.94 mm and std. of S = 0.15 mm. Expected diameter of metal cylinder is µ = 50.00 mm. Can we be 95% confident that machine calibrated properly?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS