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Soloha48 [4]
3 years ago
15

To estimate the mean length of rattlesnakes, 10 such snakes are randomly selected. Their lengths, in inches, are as follows: 40.

2 43.1 45.4 44.5 39.5 40.2 41.0 41.6 43.1 44.9 Find a 90% confidence interval for the mean length of all rattlesnakes.
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

The confidence interval will be "41.04, 43.81".

Step-by-step explanation:

Given that,

Sample size,

n = 10

Sample total,

423.5

Sample mean,

\bar X =\frac{423.5}{10}

   =42.35

Sample variance,

s = \sqrt{4.5894}

  =2.1423

df=n-1

   =9

t^*=18331

Now,

The margin of error will be:

⇒ E=\frac{s\times t^*}{\sqrt{n} }

       =\frac{2.1423\times 1.8331}{\sqrt{9} }

       =\frac{3.928}{3 }

       =1.309

hence,

The 90% confidence level will be:

= (\bar X-E),(\bar X+E)

By substituting the values, we get

= (42.35-1.309),(42.35+1.309)

= (41.04),(43.81)

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