Question

-/1 POINTS MENDSTAT15 8.4.001. MY NOTES ASK YOUR TEACHER Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Sample Size Sample Mean Sample Variance Population 2 38 43 9.4 7.3 8.32 14.72 Construct a 90% confidence interval for the difference in the population means. (Use u, - \2. Round your answers to two decimal places.) to Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) to What does the phrase "90% confident" or "99% confident" mean? In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose u, -uy. Hence, we are fairly certain that this particular interval contains u, -ug. There is a 90% (or 99% as the case may be) probability that the interval will enclose un-uz. Hence, we are fairly certain that this particular interval contains 4, Mg. O There is a 90% (or 99% as the case may be) chance that for any two samples, one sample from population 1 and one sample from population 2, the difference between sample means will fall within the interval. Hence, we are fairly certain that this particular interval contains M, - My. 90% (or 99% as the case may be) of all values from populations 1 and 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains M1-M2 In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose u -uz. Hence, we are fairly certain that this particular interval contains u, -uz. You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read It Talk to a Tutor

Answer 1

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we have data sample size cn) ..n,= 38 A2 = 43 Gample mean (ū 7,5 9.4 . Iz = 7.3 Gample variance (83). .5 = 8.32 s = 14.72 we for know, Cha).100% difference in Me-Me is confidence population interval mean (67,-82) Zaten van V ni 12 for 90% confidence 2012= 1.64 ayo% confidence interval for Mr M2 is - XrXz = (9.4=7.3) = 2.1. 7 See = 0-7492 Lower bound = 2.1 - C1.64) (0.4492) = 0.8713 Mpper bound = 2-1 + (1.64)(0.7493) = 3.3287 02.

- 0.75 ¿ 14-Me < 3.33 For 99% Za/2 confidence 2.58 interval is iggy confidence Lower bounda 21 - (2058) (0-7493) - 3 0:167) Uppey . bound. = 2.) + (2058) (0.7492) ... = 4.0329 0:17. My-M2.< 4.03 The phrase "e 90%. contidente" or i99%. confident mean as follows!. There is a go% (or .gg/ as the case may be chance that for any two (sample's, one sample from population L and One Gample from Gample population 2 the difference between Gample means will fall within interval. Hence, - we are fairly certain that this anperi'cular intervals contains 14-Me