The mean of the sample means remains the same as the population mean, which is 128. The standard deviation of the sample means, also known as the standard error, is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, the standard error is ( \frac{22}{\sqrt{36}} = \frac{22}{6} \approx 3.67 ). Thus, the mean is 128 and the standard deviation of the sample means is approximately 3.67.
You're an idiot. It's standard deviation. Google that for your answer.
Can someone help me find the answer for a sample n=36 with a population mean of of 76 and a mean of 79.4 with a standard deviation of 18?
To determine the probability that a sample mean from 120 female graduates is more than 0.30 below the population mean, you would need information about the population standard deviation or the standard error of the sample mean. Assuming a normal distribution, you can use the Central Limit Theorem to find the standard error by dividing the population standard deviation by the square root of the sample size (120). Then, you can calculate the z-score corresponding to a sample mean that is 0.30 below the population mean and use a standard normal distribution table or calculator to find the probability associated with that z-score.
To find the percentage that the sample mean is within a certain range, we can use the Central Limit Theorem. Given a population mean (μ) of 80 and a standard deviation (σ) of 10, for a sample size (n) of 25, the standard error (SE) is calculated as σ/√n = 10/√25 = 2. To find the percentage of sample means that fall within a specific range, you would use the z-score formula and standard normal distribution tables. However, without specifying the range for the sample mean, we cannot provide a specific percentage.
In a normal distribution, approximately 68% of the population falls within one standard deviation of the mean, and about 95% falls within two standard deviations. Therefore, to find the percentage of the population between one standard deviation below the mean and two standard deviations above the mean, you would calculate 95% (within two standard deviations) minus 34% (the portion below one standard deviation), resulting in approximately 61% of the population.
If the population standard deviation is sigma, then the estimate for the sample standard error for a sample of size n, is s = sigma*sqrt[n/(n-1)]
You're an idiot. It's standard deviation. Google that for your answer.
Can someone help me find the answer for a sample n=36 with a population mean of of 76 and a mean of 79.4 with a standard deviation of 18?
To determine the probability that a sample mean from 120 female graduates is more than 0.30 below the population mean, you would need information about the population standard deviation or the standard error of the sample mean. Assuming a normal distribution, you can use the Central Limit Theorem to find the standard error by dividing the population standard deviation by the square root of the sample size (120). Then, you can calculate the z-score corresponding to a sample mean that is 0.30 below the population mean and use a standard normal distribution table or calculator to find the probability associated with that z-score.
You cannot from the information provided.
To find the percentage that the sample mean is within a certain range, we can use the Central Limit Theorem. Given a population mean (μ) of 80 and a standard deviation (σ) of 10, for a sample size (n) of 25, the standard error (SE) is calculated as σ/√n = 10/√25 = 2. To find the percentage of sample means that fall within a specific range, you would use the z-score formula and standard normal distribution tables. However, without specifying the range for the sample mean, we cannot provide a specific percentage.
Information is not sufficient to find mean deviation and standard deviation.
To determine your sample score on the comparison distribution, you first need to calculate the sample mean and standard deviation. Then, you can use these statistics to find the z-score, which indicates how many standard deviations your sample mean is from the population mean. By comparing this z-score to critical values from the standard normal distribution, you can assess the significance of your sample score in relation to the comparison distribution.
A recent survey of 50 executives who were laid off from their previous position revealed it took a mean of 26 weeks for them to find anoher positio. the standard deviation of the sample was 6.2 weeks. construct a 95 % confidence interval for the population. Is it reasonable that the population mean is 28 weeks? Justify your answer
In a normal distribution, approximately 68% of the population falls within one standard deviation of the mean, and about 95% falls within two standard deviations. Therefore, to find the percentage of the population between one standard deviation below the mean and two standard deviations above the mean, you would calculate 95% (within two standard deviations) minus 34% (the portion below one standard deviation), resulting in approximately 61% of the population.
You calculate standard deviation the same way as always. You find the mean, and then you sum the squares of the deviations of the samples from the means, divide by N-1, and then take the square root. This has nothing to do with whether you have a normal distribution or not. This is how you calculate sample standard deviation, where the mean is determined along with the standard deviation, and the N-1 factor represents the loss of a degree of freedom in doing so. If you knew the mean a priori, you could calculate standard deviation of the sample, and only use N, instead of N-1.
The proportion is approx 95%.