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Normal distribution and central limit theorem table
Normal distribution and central limit theorem table






normal distribution and central limit theorem table

25 women were selected to go on a special diet just before they became pregnant.Is a length of 260 days significantly low for a pregnancy? If one pregnant woman is randomly selected, find the probability that her length of pregnancy is less than 260 days.Find the 95th percentile for the sample mean hours (to one decimal place).Įxample 3: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.Find the probability that the sample mean is between 1.8 hours and 2.3 hours.A sample of size n = 50 is drawn randomly from the population.

normal distribution and central limit theorem table

Find the value that is two standard deviations above the expected value, 90, of the sample mean.Įxample 2: The length of time, in hours, it takes an "over 40" group of people to play one soccer match is normally distributed with a mean of two hours and a standard deviation of 0.5 hours.

normal distribution and central limit theorem table

Find the probability that the sample mean is between 85 and 92.Samples of size n = 25 are drawn randomly from the population. The normal distribution has the same mean as the original distribution and a variance that equals the original variance divided by the sample size.Įxample 1: An unknown distribution has a mean of 90 and a standard deviation of 15. The central limit theorem for sample means says that if you keep drawing larger and larger samples and calculating their means, the sample means form their own normal distribution. Solve similar problems using the Central Limit Theorem, when appropriate.Given a range of values on a normal distribution, calculate the probability.Given an area/percentage/probability, calculate the z-score (or cutoff score) that corresponds to that amount.Understand and apply the normal probability distribution to real-world situations.

normal distribution and central limit theorem table

Section 7.1 The Central Limit Theorem for Sample Means








Normal distribution and central limit theorem table