Mrs. Bracken asks a random sample of 500 adults whether they favor giving vouchers to parents of school agechildren that can be exchanged for education at any public or private school of their choice. Each school wouldbe paid by the government on the basis of how many vouchers it collected. Suppose that 45% of the populationfavor this idea,(a) What is the mean and standard deviation of the sampling distribution of p, the proportion of adults in samplesof size n= 500 who favor giving parents of school-age children these vouchers?(b) Calculate the probability that more than half of the sample are in favor. Show your work.

Given: Sample size, n = 500 p = 45%

Answered: Mrs. Bracken asks a random sample of…

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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The California High School Exit Exam scores form a normal distribution with a mean of 750 and a standard deviation of 80. a sample of 36 students was selected at random. 1)What two sample means will form the boundaries that separate the middle 95 percent of sample means from the rest of the distribution? 2) How large a sample is needed to have a standard error that is less than or euqla to 10?
a) A study has shown that 25% of all college textbooks have a price of RM 200 or higher. It is known that the standard deviation of the prices of all college textbooks is RM 10.50. Supposed the price of all college textbooks have a normal distribution, what is the mean price of all college textbook? b) Given that Noelle Phone company makes smartphones. The life of an iNphone model manufactured by this company has a normal distribution with a mean of 5 years and a standard deviation of 6 months. The company is to determine the warranty period for this new iNphone and any phone that needs a major repair during this warranty period will be replaced free by the company. What should the warranty period (in months) be if the company does not want to replace more than 1% of the iNphone?.
A simple random sample of size n=50 is obtained from a population with a mean of 46 and a standard deviation of 7. Does the population need to be normally distributed for the sampling distribution of x bar to be approximately normally distributed? Why? What is the sampling distribution of x bar?
The blood platelet counts of a group of women have bell shaped distribution with a mean of 247.5 And a standard deviation of 69.6 (all units are 1000 cells/ uL.) using the empirical rule a) approximately what % of women in this group have platelet counts within 1 standard deviation of the mean, or between 177.9 and 317.1? b.) what is the approximate percent of women with platelet counts between 38.7 and 456.3?
A random sample of 64 Saskatchewan households had mean credit card debt of $7868. We wish to use this sample to estimate the true mean credit card debt of Saskatchewan households. For this question, we will assume that the population standard deviation is known to be $2070. Round all final answers to two decimals. By the central limit theorem, the shape of the associated sampling distribution can be assumed to be approximately normal with a) mean and standard deviation %3D b) What is the maximum error of a 90% confidence interval estimate? What is the 90% confidence interval of the true Saskatchewan household credit card debt? (Give your final answer in either interval notation or inequality notation)
A population has a mean of 90 and a standard deviation of 7. If it is sampled repeatedly with samples of size 144, a) what is the mean and standard deviation of the sample means? (Round to 4 decimal places) b) What is the probability the sample mean is greater than 90.87? (Round to 4 decimal places) c) What is the probability the sample mean is less than 92.16? (Round to 4 decimal places)
The mean for a sample of n = 4 scores has a standard error SE = 5 points. This sample was selected from a population with a standard deviation of a = 20. 1) True 2) False
b) Incomes of a group of 2000 employees in a certain company were found to be normally distributed with mean Rs.5500 and standard deviation Rs 1000. Find the expected number of employees with income. i) below 5000 ii) above 8000 iii) the lowest income of high ranked 15% of employers.
9. Measurements of the diameters of a random sample of 13 ball bearings made by machine X during one week showed a mean of 8.22 mm and a standard deviation of 0.38 mm. However, other measurements of the diameters of a random sample of 11 ball bearings made by machine Y during the same week showed a mean of 7.68 mm and a standard deviation of 0.42 mm. Assuming the diameters are normally distributed with equal variance, a) Construct a 99% confidence interval for the difference in the true mean diameters of ball bearings made by the two machines. b) Based on your answer in part (a), are you 99% confident that the true mean diameters of ball bearings made by machines X and Y are not equal? Justify your answer.

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