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This Question: 14 pts 7 of 11 (7 complete) This Quiz: 100 pts possit for 25 banks.Complete parts a through c below year CD E Click the icon to view the yields for one-year CDs and five-year CDs a. Construct a 90% confidence interval estimate lor the mean yield of one year CDs Type inegers or decimals rounded to twro decimal places as needed) b, Construct a 90% confidence interval eslinateforthe mean yleld offive year CDs (Type integers or decimals rounded to two decimal places as needed ) C. Compare the results of (a) and (b) Choose the correct answer below O A. The mean yield of tive-year CDs is greater than the mean yleld of one year CDs OB. One can be 90% confident thathe mean yield of one-year CDs is the same asthe mean yield offive-year CDs One can be 90% corfdent that b.mean yield of oneyear CDs is less han the mean yleld of he year CD Ono can be 90% corldentthatthe mean yield of one year ch is geate hathe mean yild of heyea cos C. OD. cicx so select your arswerts) O Type here to search esc /2 f4 fs f6 17
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a. Confidence Interval Estimation for one year yield: Sample size: nlength (x)-25 i-0,1..n, -1 0.45 4.75 0.70 4.90 0.85 5.10 0.30 3.40 0.25 4.00 0.35 3.85 0.45 3.65 1.90 4.45 0.85 4.85 0.75 4.00 0.35 4.50 0.40 3.50 Sample Mean - -0.846 Sample Standard deviation: S:- 二0.567 Sample Variance: S 0.322 90% confidence interval, with a level of significance, α:-0.10 Degrees of freedom:Student t test statistic (Population standard deviation unknown) 0.45 4.30 0.60 5.10 1.65 4.15 0.95 4.30 1.40 5.00 2.25 4.55 0.95 4.95 0.95 4.40 0.50 4.50 0.50 3.90 0.35 3.50 1.05 4.40 1.95 4.05 Iqt (α , d-1.710882 For 90% confidence, the critical value from the t distribution is 1.7109 Confidence Interval Estimation: ni- Tl 0.6519 - 1.0401 ni- ni- Tl Tl 0.6519<μ< 1.0401 With 90% confidence, we can conclude that the mean value of all the one year yields will be between 0.6519 and 1.0401.b. Confidence Interval Estimation for Five year yield: Sample size: n2-length (r2)-25 i-0,1.. n2-1 Sample Mean: 2- -4.322 T2 To.xT Sample Standard deviation: S:- 0.515 m-2 Sample Variance: S 0.265 90% confidence interval, with a level of significance, α:-0.10 Degrees of freedom Student t test statistic (Population standard deviation unknown) t l-, d | 1.710882For 90% confidence, the critical value from the distribution is 1.7109 Confidence interval estimation for the five year yields: n2-1 n2-1 n2 2n2-1 4.1457 -_4.4983 · »,-1. T12 m2 m2 4.1457<μ< 4.4983 With 90% confidence, we can conclude that the mean value of all the five years yields will be between 4.1457 and 4.4983. C. Correct answer is c. at 90% confidence interval, we have the mean yields range of 4.14574.4983 for five year CDs which is greater than the one year yields range of 0.6519-μ< 1.0401

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