An argonomist measured the heights of n corn plants. The mean height was 220 cm, and the standard deviation was 15 cm. Calculate the standar

Question

An argonomist measured the heights of n corn plants. The mean height was 220 cm, and the standard deviation was 15 cm. Calculate the standard error of the mean for a sample size of 100.

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Nevaeh 1 day 2021-09-10T08:19:19+00:00 1 Answer 0

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    2021-09-10T08:21:12+00:00

    Answer:

    The standard error of the mean for a sample size of 100 is 1.5.

    Step-by-step explanation:

    The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error, s = \frac{\sigma}{\sqrt{n}}

    In this problem, we have that:

    \sigma = 15

    Calculate the standard error of the mean for a sample size of 100.

    This is s when n = 100. So

    s = \frac{15}{\sqrt{100}} = 1.5

    The standard error of the mean for a sample size of 100 is 1.5.

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