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eduard
2 years ago
14

A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean wa

s 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.
Mathematics
1 answer:
vampirchik [111]2 years ago
6 0

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95

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Answer:

the answer is below

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x1 x2 probabilityP(x1,x2) sample mean

190 190    1/16                 190

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100 100    1/16                 100

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272 190    1/16                 231

272 100    1/16                 186

272 272    1/16                 272

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74 100    1/16                 87

74 272    1/16                 173

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Summarizing above with adding duplicate values

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       74              1/16

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    100                1/16

    132                1/8

    145                1/8

    173                1/8

   186                1/8

   190               1/16

    231               1/8

   272               1/16

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