d Construct separate 90 confidence intervals for each mean Monthly rent paid by

# D construct separate 90 confidence intervals for each

• Homework Help
• 8
• 90% (73) 66 out of 73 people found this document helpful

This preview shows page 2 - 5 out of 8 pages.

(d)Construct separate 90% confidence intervals for each mean. Monthly rent paid by undergraduates and graduate students. Undergraduate Student Rents ( n = 10) 820 780 870 670 800 790 810 680 1,000 730 Graduate Student Rents ( n = 12) 1,130 920 930 880 780 910 790 840 930 910 860 850 a) Construct a 95 percent confidence interval for the difference of mean monthly rent paid by undergraduates and graduate students using the assumption of unequal variances with Welch's formula for d.f.Welch’s d.f.= 18 (calculated from MegaStat) and the tstatistic = 2.101(795-894.17)±2.101 根根根9093.5296/10+8136.04/12
Surgeon 1 Surgeon 2 Surgeon 3 Surgeon 4 Surgeon 5 Old way 36 55 28 40 62 New way 29 42 30 32 56 (a-1)Calculate the difference between the new and the old ways for the data given below. Use α = .05.(Negative values should be indicated by a minus sign.) X 1 X 2 X 1 - X 2 Surgeon Old Way New Way Difference 1 36 29 2 55 42 3 28 30 4 40 32 5 62 56 (a-2)Calculate the mean and standard deviation for the difference. (Round your mean answer to 1 decimal place and standard deviationanswer to 4 decimal places.)MeanStandard Deviation(a-3)Choose the right option for H0:μd≤ 0; H1:μd> 0.Reject if tα> 2.132(a-4)Calculate the value of t. (Round your answer to 4 decimal places.)tcalc(b-1)Is the decision close? (Round your answer to 4 decimal places.) . True(b-3)The difference is significant. Define the difference as Old – New. d.f.
(b)The decision is not close. The p-value is .0287 =T.DIST.RT(2.6439,4), which is less than .05, and thetcalcwas well within the rejection reMonthly rent paid by undergraduates and graduate students.Undergraduate Student Rents (n= 10)760760880710680830750610980690Graduate Student Rents (n= 12)1,150900910890720920800780890900920800Click here for the Excel Data File(a) Construct a 98 percent confidence interval for the difference of mean monthly rent paid by undergraduates and graduate students, using the assumption of unequal variances with Welch's formula for d.f.(Do not round the intermediate calculations.Round your final answers to 3 decimal places. Negative values should be indicated
• • • 