Question

Construct a 99% confidence interval for mu 1 minus mu 2μ1−μ2 with the sample statistics for...

Construct a

99%

confidence interval for

mu 1 minus mu 2μ1−μ2

with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances.

Stats

x overbar 1 equals 134 mg comma s 1 equals 3.64 mg comma n 1 equals 20x1=134 mg, s1=3.64 mg, n1=20

x overbar 2 equals 88 mg comma s 2 equals 2.02 mg comma n 2 equals 16x2=88 mg, s2=2.02 mg, n2=16

ConfidenceConfidence

interval wheninterval when

variances arevariances are

not equal

left parenthesis x overbar 1 minus x overbar 2 right parenthesis minus t Subscript c Baseline StartRoot StartFraction s Subscript 1 Superscript 2 Over n 1 EndFraction plus StartFraction s Subscript 2 Superscript 2 Over n 2 EndFraction EndRoot less than mu 1 minus mu 2 less than left parenthesis x overbar 1 minus x overbar 2 right parenthesis plus t Subscript c Baseline StartRoot StartFraction s Subscript 1 Superscript 2 Over n 1 EndFraction plus StartFraction s Subscript 2 Superscript 2 Over n 2 EndFraction EndRootx1−x2−tcs21n1+s22n2<μ1−μ2<x1−x2+tcs21n1+s22n2

d.f. is the smaller of

n 1n1minus−1

or

n 2n2minus−1

Enter the endpoints of the interval.

nothing less than mu 1 minus mu 2 less than nothing<μ1−μ2<

​(Round to the nearest integer as​ needed.)

Homework Answers

Answer #1

Using Two sample t test assuming unequal variance.

Given: = 0.01

Population 1:

n1 = 20, = 134, S1 = 3.64

Population 2:

n2 = 16, = 88, S2 = 2.02

Degrees of Freedom:

Critical value:

…………………..….using t table

99% Confidence Interval:

(43.37, 48.63)

Or

43 < 1-2 < 49               .........rounded to the nearest integer

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A past survey of 1 comma 068 comma 000 students taking a standardized test revealed that...
A past survey of 1 comma 068 comma 000 students taking a standardized test revealed that 7.9​% of the students were planning on studying engineering in college. In a recent survey of 1 comma 476 comma 000 students taking the​ SAT, 9.2​% of the students were planning to study engineering. Construct a 95​% confidence interval for the difference between proportions p 1 minus p 2 by using the following inequality. Assume the samples are random and independent. left parenthesis ModifyingAbove...
A government health organization publishes information on AIDS in a weekly report. During one​ year, the...
A government health organization publishes information on AIDS in a weekly report. During one​ year, the number of provisional cases of AIDS for each of 50 regions is as shown below. Solve parts​ (a) through​ (d) below. 5656 2424 1212 590590 107107 650650 64676467 10251025 15531553 778778 599599 11561156 652652 193193 131131 7070 320320 55 1212 4444 9797 193193 14341434 894894 8686 989989 720720 13471347 47914791 195195 158158 464464 465465 190190 577577 220220 48714871 1313 2323 88 360360 118118 686686...
Prove that for positive​ integers, Integral from nothing to nothing tangent Superscript n Baseline x dx...
Prove that for positive​ integers, Integral from nothing to nothing tangent Superscript n Baseline x dx equals StartFraction tangent Superscript n minus 1 Baseline x Over n minus 1 EndFraction minus Integral from nothing to nothing tangent Superscript n minus 2 Baseline x dx comma n not equals 1∫tannx dx=tann−1xn−1−∫tann−2x dx, n≠1. Use the formula to evaluate Integral from 0 to StartFraction pi Over 3 EndFraction 4 tangent Superscript 5 Baseline x dx∫0π34tan5x dx.
Construct a 99% confidence interval for p subscript 1 minus p subscript 2, given x subscript...
Construct a 99% confidence interval for p subscript 1 minus p subscript 2, given x subscript 1 equals 51 comma space n subscript 1 equals 150 comma space x subscript 2 equals 45 comma space and space n subscript 2 equals 180.
Construct the confidence interval for the population mean mu μ. c equals = 0.90 0.90​, x...
Construct the confidence interval for the population mean mu μ. c equals = 0.90 0.90​, x overbar equals 15.8 x=15.8​, sigma σ equals = 6.0 6.0​, and n equals = 70 70 A 90 90​% confidence interval for mu μ is left parenthesis nothing comma nothing right parenthesis . , . ​(Round to one decimal place as​ needed.).
A rocket follows a path given by y equals x minus StartFraction 1 Over 65 EndFraction...
A rocket follows a path given by y equals x minus StartFraction 1 Over 65 EndFraction x cubed ?(distances in? miles). If the horizontal velocity is given by v Subscript x Baseline equals x comma find the magnitude and direction of the velocity when the rocket hits the ground? (assume level? terrain) if time is in minutes.
Construct the confidence interval for the population mean mu. cequals0.95​, x overbar equals 4.8​, sigmaequals0.4​, and...
Construct the confidence interval for the population mean mu. cequals0.95​, x overbar equals 4.8​, sigmaequals0.4​, and nequals57 A 95​% confidence interval for mu is left parenthesis nothing comma nothing right parenthesis . ​(Round to two decimal places as​ needed.)
Conduct a test at the alphaαequals=0.100.10 level of significance by determining ​(a) the null and alternative​...
Conduct a test at the alphaαequals=0.100.10 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p 1 greater than p 2p1>p2. The sample data are x 1 equals 118x1=118​, n 1 equals 256n1=256​, x 2 equals 144x2=144​, and n 2 equals 319n2=319. (a) When comparing two population​ proportions, the null hypothesis is a statement...
A market analyst wants to know if the new website he designed is showing increased page...
A market analyst wants to know if the new website he designed is showing increased page views per visit. A customer is randomly sent to one of two different​ websites, offering the same​ products, but with different designs. The accompanying table shows the data from five randomly chosen customers from each website. Test the null hypothesis that the mean number of page visits is the same for the two websites. Assume that the data come from a population that is...
A market analyst wants to know if the new website he designed is showing increased page...
A market analyst wants to know if the new website he designed is showing increased page views per visit. A customer is randomly sent to one of two different​ websites, offering the same​ products, but with different designs. The accompanying table shows the data from five randomly chosen customers from each website. Test the null hypothesis that the mean number of page visits is the same for the two websites. Assume that the data come from a population that is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Child abuse occurs in that type of family environments? A) step families B) low income families...
    asked 11 minutes ago
  • A disk with a c value of 1/2, a mass of 4 kg, and radius of...
    asked 14 minutes ago
  • 1. Modern couples in the United States are having fewer children. a. True b. False 2.According...
    asked 24 minutes ago
  • Assume the following information regarding U.S. and European annualized interest rates: Currency                          &n
    asked 1 hour ago
  • What is the basis of reliability for the following: 1)Dying declaration 2) business records 3)excited utterness...
    asked 1 hour ago
  • P6-9 (L02,4) (Analysis of Business Problems) James Kirk is a financial executive with McDowell Enterprises. Although...
    asked 1 hour ago
  • Written story about someone who engages in primary deviance and then becomes a secondary deviant. Make...
    asked 1 hour ago
  • If you have an elastic sample that you want to analyze by TEMI Which sample preparation...
    asked 1 hour ago
  • Philosophy: Compare and contrast Plato’s notion of form to that of Aristotle’s. How do their respective...
    asked 1 hour ago
  • Metal Oxide Varistors MOV's are non-ohmic variable resistors used in surge protectors to stunt away excessive...
    asked 1 hour ago
  • GreenTree Financing lent an engineering company $100,000 to retrofit an environmentally unfriendly building. The loan is...
    asked 2 hours ago
  • A piano tuner using a 264 Hz tuning fork hears 6beats per second while playing the...
    asked 2 hours ago