What will the mean of the sampling distribution of the sample mean be?
\[ \mu_{\bar{x}} = \]

What will the standard deviation of the sampling distribution of the sample mean be?
\[ \sigma_{\bar{x}} = \]

Round to four decimal places.

What is the probability that our sample will have a mean between 195 lbs and 200 lbs?

Question

15-08-2024
Mathematics

High School

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What will the mean of the sampling distribution of the sample mean be?
\[ \mu_{\bar{x}} = \]

What will the standard deviation of the sampling distribution of the sample mean be?
\[ \sigma_{\bar{x}} = \]

Round to four decimal places.

What is the probability that our sample will have a mean between 195 lbs and 200 lbs?

Answer :

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fawadmohd fawadmohd · Answer 1 · 2024-11-01T10:41:46-04:00

The mean of the sampling distribution of the sample mean is equal to the population mean (μ), and the standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation (σ) divided by the square root of the sample size (n). To find the probability that the sample mean falls between 195 lbs and 200 lbs, we need to assume a distribution or gather additional information.

The mean of the sampling distribution of the sample mean is equal to the population mean. This means that if the population mean is known, then the mean of the sample mean will be the same.

The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size. It represents the variability of the sample means around the population mean.

To calculate the probability that the sample mean falls between 195 lbs and 200 lbs, we need to know the distribution of the population or have additional information about the shape of the data. Without this information, it is not possible to determine the probability.

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