A simple random sample of size n=16 is obtained from a population of student heights that is normally distributed with a mean of 69.8 inches and a standard deviation of 4.1 inches. Is the sampling distribution normally distributed? Why? O Yes, the sampling distribution is normally distributed because the population is normally distributed. O Yes, the sampling distribution is normally distributed because the population mean is greater than 30. O No, the sampling distribution is not normally distributed because the population is not normally distributed. O No, the sampling distribution is not normally distributed because the sample size is less than 30.

A simple random sample of size n=16 is obtained from a population of student heights that is normally distributed with a mean of 69.8 inches and a standard deviation of 4.1 inches. Is the sampling distribution normally distributed? Why? O Yes, the sampling distribution is normally distributed because the population is normally distributed. O Yes, the sampling distribution is normally distributed because the population mean is greater than 30. O No, the sampling distribution is not normally distributed because the population is not normally distributed. O No, the sampling distribution is not normally distributed because the sample size is less than 30.

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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According to insurance records, a car with a certain protection system will be recovered 94% of the time. If 300 stolen cars are randomly selected, would it be unusual for 280 stolen cars to be recovered? In other words, is 280 more than 2 standard deviations above the mean? Note: Since np(1 - p) > 10 then we can assume the data approximates a normal distribution.
proba
There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using %3D V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.
The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm.Find the probability that a individual distance 207.50 cm.Find the probability that a mean for 20 randomly selected distances is greater than 195.30cm.Why can the normal distribution be used in part B even though the sample size does not exceed 30
The weight in kilograms of the citizens of Fredonia has a mean of 50 kg and standard deviation of 24 kg (a) Find the mean of the sampling distribution of the sample mean. (b) Find the standard deviation of the sampling distribution of the sample mean.
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 5.Find the mean of the sampling distribution for the average score (sample mean) of 256 golfers: (Round answer to the nearest integer.)Find the standard deviation of the sampling distribution for the average score (sample mean)of 256 golfers: (Round answer to four places after the decimal.)Is the sampling distribution of the average score (sample mean) approximately normal? Yes, because the sample size is large enough.No, because the sample size is not large enough. What is the probability that the average (sample mean) of the 256 golfers exceeded 67? (Round answer to four places after the decimal.)
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and standard deviation 3 inches. A sample of size n = 49 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the sample mean distribution?
4. You ask an SRS of 1500 college students whether they applied for admission to any other college. Suppose that in fact 35% of all college students applied to colleges besides the one they are attending. The sampling distribution of the proportion of B your sample who say "Yes" is approximately Normal with mean 0.35 and standard deviation 0.01. Sketch this Normal curve and use it to answer the following questions. (You can use the 68-95-99.7 rule for all these questions.) Round to nearest whole percent. (a) What percentage of many samples would have a larger than 0.37? 2.5 (b) What is the probability that your sample will have a less than 0.33?Å (c) what is the probability that your sample result will be either less than 0.33 or greater than 0.35?