Respond True or False to each of these statements.
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Respond True or False to each of these statements. The total area under the normal distribution...
If I has a normal distribution, then 7 always has a normal distribution. True False Under what condition does the sample mean ī not have a normal distribution? Population is not normal but the sample size n > 30. Population is not normal and sample size n <30. Population is normal. The Central Limit Theorem for a sample mean (@) is very important in Statistics because it states that for large sample sizes, the population distribution is approximately normal. for...
6. Area under the normal distribution The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical,...
Use technology to create sampling distributions for a uniform population distribution. Complete parts a through d below. Population Distribution a. Use technology to create a sampling distribution for the sample mean using sample sizes n=2. Take N=5000 repeated samples of size 2, and observe the histogram of the sample means. What shape does this sampling distribution have? O A. The sampling distribution is triangular. OB. The sampling distribution is normal. OC. The sampling distribution is uniform. OD. The sampling distribution...
A simple random sample of size n 43 is obtained from a population that is skewed left with = 54 and 06. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No. The central limit theorem states that only if the...
Using the Standard Normal Distribution Table to find the area under the standard normal curve. a) Find the area under the standard normal curve to the left of z=-100. b) Find the area to the left of z=1.18.
QUESTION 1 We can create a distribution of sample means by selecting all possible random samples of the same size from the population. a. True b. False QUESTION 3 If you select a sample of size 100 from a population of raw scores and construct a distribution of sample means, what shape will the distribution of samples means have? a. left skewed b. right skewed c. approximately normal d. more information is needed about the shape of the population of...
18. Find the area under the normal curve between z--1.25 and z-1.0 a) .7486 19. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, find the proportion of scores less than 88 a) .3173 20. Same as above except find the proportion of scores greater than I standard deviation from the mean. a) .3173 21. Consider a university with a population mean GPA of 2.95, a standard deviation of.2, and a sampling...
In a standard normal distribution bell curve, the proportion of the total area which must be to the left of the mean is and the total area under the curve is A: between 0.25 and 0.60; 0.50 and 1.20 B: exactly 0.50; 1 C: less than 0.50 if the distribution is skewed to the left; 1 D: more than 0.50 if the distribution is skewed to the right; 1
Determine the area under the standard normal curve that lies between (a) Z=−1.72 and Z=1.72, (b) Z=−2.89 and Z=0, and (c) Z=−0.43 and Z=0.96. Find the z-score such that the area under the standard normal curve to the left is 0.57. Find the z-score such that the area under the standard normal curve to the right is 0.11. The approximate z-score that corresponds to a right tail area of 0.11 is ___. Find the z-scores that separate the middle 31%...
QUESTION 1 The total area under the normal curve can never be known a. TRUE b. FALSE QUESTION 2 If a population is known to be normally distributed, the shape of the corresponding x-bar curve will be a. exactly normal b. approximately normal c. Non-normal d. depends on the sample size QUESTION 3 The fact that values such as sample averages and sample proportions will be different from sample to sample is an example of a. standard deviation b. population...