4. Set up the null and alternative hypotheses to test whether there is any differencebetween the caloric content of french fries sold by the two chains.(a) Ho : µ1 2 l2 versus Ha : µ1 < µ2(b) Ho : µ1 < l2 versus Ha : µ1 2 12(c) Ho : µi 7 µ2 versus Ha : µ1 = 2(d) Ho : µ1 < M2 versus Ha : µi > µ2(e) Ho : µ1 = µ2 versus Ha : µ1 7 µ25. Find the value of the standardized test statistic.(а) —1.848(b) 1.848(с) —2.79(d) 2.79(е) —1.236. Find the P-value for the above test and state your decision at 1% significance level.(a) P=.0052; Decision: Reject Ho.(b) P=.0026; Decision: Reject Ho.(c) P=.0052; Decision: Do not reject Ho.(d) P=.5000; Decision: Reject Ho.(e) P=.0322; Decision: Do not reject Ho. Use the following for questions 4, 5 and 6.A nutritionist in the FDA wants to compare the caloric content of medium french fries soldby Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if thereis any difference between them. To test this, random samples from each chain is taken andthe caloric contents of french fries are measured. Their finding is summarized in the tablebelow.WendonaldMcKingn1 = 40*1 = 380 caloriesn2 = 50%3D360 caloriess1 = 30 caloriesS238 calories

Answered: Image /qna-images/answer/176bfe20-367d-4192-9dae-666fc8f61076.jpg

Answered: 4. Set up the null and alternative…

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

4. Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from “Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme”, by MacGregor et al., BMJ, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril has an effect on systolic blood pressure? Explain why statistical methods from Z-interval, Z-test, T-interval or T-test –cannot be used for this problem. Then, use the sign test to conduct the required test in R studio. Please show your work.
1. (30 Points) Consider the following table where the production quantity of a welding process is presented for different pressure levels (low, medium, and high). By using 5% significance level, test whether the pressure level has an impact on the average production amount. Explicitly show all of your computations and clearly demonstrate how you reach your conclusion. Low Medium High 31 35 25 25 32 34 33 33 35 41 30 33 32 37 39
What is your conclusion using a one sided z test if you assume α=0.01 and test the hypothesis that the proportion of colic is less among infants of mothers who don’t smoke than among the infants of mothers who smoke?
Find the z-score that defines α=0 .05 and α=.01 critical regions for a one-tail test? 8. Find the z-score that defines α=0 .05 and α=.01 critical regions for a two-tail test?
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104
In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…
We want to test the relative efficacy of a new cholesterol lowering drug A versus existing drug B. We randomize nĄ subjects with high cholesterol to take treatment A and ng subjects to take treatment B. After a l-month followup, we measure cholesterol levels in both groups. Suppose the data in the two groups are independent and YA,Y;ª,..., YA N(µA, o²) and YB,YB,.., Y,B iid N(µB,0²), where o? = 9 is known. Let Y4 and YB be the sample average cholesterol level in group A and B. 1. What is the distribution of the difference in sample means: Â =Ÿª-ŸB? Hint: what is the distribution of each group's sample average? What do we know about linear combinations of normal RVs? 2. Let A = µA - µB be the true difference in cholesterol levels in populations treated with Â-A A versus B. What is the distribution of Z = ? Vo2/na+o²/ng 3. Suppose YA = 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significance level test of Ho : A = 0 versus Ha : A # 0. Do you reject or fail to reject the null at…
An article in Environment International ["influence of Water Temperature and Shower Head Office Size on the release Radon During Showering" (1992, Vol. 18(4)] described an experiment in which the amount of radon released in showers was imvestigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment are shown in the following table. 5. Orifice Diameter 0.37 0.51 0.71 1.02 Radon Released () 83 75 73 72 83 85 79 79 74 76 77 67 74 74 1.40 62 62 67 69 1.99 60 64 66 (a) Does the size of the orifice affect the mean percentage of radon released? Use a=0.05. (b) Find a 95% confidence interval on the mean percent of radon released when the orifice diameter is 1.40.
1. Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying tables (based on data from "Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme," by MacGregor et al., British Medical Journal, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril is effective in lowering systolic blood pressure? Subject Before (x) 200 After (y) А В C D E F G H I K 174 198 170 179 182 193 209 185 155 169 210 191 170 177 167 159 151 176 183 159 145 146 177 2. A study was conducted to investigate the effectiveness for randomly selected subjects are given in the accompanying table (based on "An Analysis of hypnotism in reducing pain. Results Factors That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of…
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)
To evaluate the coagulation effects of three drugs, 30 healthy volunteers were randomly assigned into 3 groups and injected with different drugs. Their relevant coagulation times were measured as follows A(group=1): 36.8 34.4 34.3 35.7 33.2 31.1 34.3 29.8 35.4 31.2B(group=2): 40.0 35.5 36.7 39.3 40.1 36.8 33.4 38.3 38.4 39.8C(group=3): 32.9 37.9 30.5 31.1 34.7 37.6 40.2 38.1 32.4 35.6Questions: ① If you want to evaluate whether the coagulation effects of the three drugs are different, which method should be used? and what are the model assumptionsfor the application of this method?② Compare the difference of the coagulation effects among three drugs by SPSS,present the main results and make interpretation.③ Make pairwise comparisons of the efficacy of the three drugs, write out the method of pairwise comparison you adopted (just write one method) and the corresponding p-values.
The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter. Subject Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce…

SEE MORE QUESTIONS

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