MAT220.70: Statistics I IMOD2B W (1023-1217/7 Chrisopher Jenkins&123/17 95 st: P

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MAT220.70: Statistics I IMOD2B W (1023-1217/7 Chrisopher Jenkins&123/17 95 st: POST UNIT 6-TEST -Ch. 9 Submt Question: 1 pt 0 of 13 (13 complele) This Test: 13 pts pos aeston Help mple random sample of size n is drawm. The sample mean, i, is found to be 18.3, and the sample standand deviation, s, is found to be 4 6 Click the icon to view the table of areas under the t-distribution Construct a 95% condence rterval abo ,the sarpio suze, n, is 34 ower bound , upper bound D Use ancending order Round to two decimai places as needed ) (b) Construct a90% contoence merva' about , te sample sue, r, is 61. Lower bound ,upper bound: D (use ascending order Round to two decimal places as needed ) How does increasing the sample size affect the margin of enor, EP Click to select your answerls). O Type here to seash 6

Explanation / Answer

ans n =34

M = 18.3, 95% CI [16.695, 19.905].

Calculation

M = 18.3
t = 2.03
sM = (4.62/34) = 0.79

= M ± t(sM)
= 18.3 ± 2.03*0.79
= 18.3 ± 1.605

ans n=61

M = 18.3, 95% CI [17.122, 19.478].

Calculation

M = 18.3
t = 2
sM = (4.62/61) = 0.59

= M ± t(sM)
= 18.3 ± 2*0.59
= 18.3 ± 1.178

Increase in sample size decreases the width of interval

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