Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 99% confident that the sample standarddeviations is within 1% of a. Is this sample size practical?To be 95% confident that s iswithinof the value of o, the sample size 19,205 768 192 48n should be at leastTo be 99% confident that s iswithin1%of the value of a, the sample size 33,218 1,336 336In should be at leastThe minimum sample size needed is.Is this sample size practical?1% 5% 10% 20% 30% 40% 50%21 12 85% 10% 20% 30% 40% 50%8538 2214OA. Yes, because the sample size is small enough to be practical for most applications.OB. No, because the sample size is excessively large to be practical for most applications.OC. Yes, because the sample size should be as large as possible for most applications.O D. No, because the sample size should be as small as possible for most applications.[c

It is given that Level of confidence = 99% Margin of error = 1%

Answered: Assume that the sample is a simple…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 74 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
Assume that ﬁnal exam scores in a given course are approximately normally distributed with a mean of 75 and a standard deviation of 10 points. In a class of 200 students, how many would you expect to fail the exam (i.e., score less than 60) (note: scores can only be approximately normally distributed, because the minimum score is 0, but this should not alter the answer, given how large the mean is relative to the standard deviation).
A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?
The scores of students on a standardized test form a normal distribution with a mean of 300 and a standard deviation of 40. Using the fact that the middle 50% of the data falls within .67 standard deviations from the mean, find the lower and upper quartile scores for this test.
A random sample of 10,000 bottles of cola was taken to see whether the mean weight was 16 fluid ounces, as marked on the container. The null hypothesis is that the population mean is 16 ounces. Use the read-out below to test the hypothesis that the colas do not have a population mean of 16 fluid ounces. You do not have to do any calculations; just interpret the given data clearly and thoroughly in the context of the problem. | One-Sample T: ounces Test of u = 16 vs = 16 Variable Mean StDev SE Mean 95 CI T P ounces 10000 15.9988 0.0985 0.0010 (15.9969, 16.0007) -1.21 0.225
In a recent year, the mean test score was 1539 1539 and the standard deviation was 310 310. The test scores of four students selected at random are 1950 1950, 1300 1300, 2270 2270, and 1430 1430. Find the z-scores that correspond to each value and determine whether any of the values are unusual
On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
Deanna is the principal at a Midwestern middle school and wants to know the average IQ of all female, seventh grade students. She does not know anything about what the population distribution looks like. She took a simple random sample of 31 seventh-grade girls in her school and found the average IQ score in her sample was 105.8 and the standard deviation was 15. Using the sample standard deviation above to estimate the population standard deviation, what is the minimum sample size needed for a 99.5% confidence interval to have a margin of error of no more than 2.3?
If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages

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