er (15-1)(14) 2 howto

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

Sample size = n = 15

Sample mean = $\bar{x}$ = 25

Standard deviation = s = 32

We have to construct 98% confidence interval.

Formula is

$(\bar{x}-E , \bar{x}+E)$

Here E is a margin of error.

Degrees of freedom = n - 1 = 15 - 1 = 14

Level of significance = 0.02

tc = 2.624 ( Using t table)

$E = \frac{2.624*3.2}{\sqrt{15}}=2.1680$

So confidence interval is ( 25 - 2.1680 , 25 + 2.1680) = > ( 22.8320 , 27.1680)

Answer 2

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