The sample size needed to estimatea population mean within 1.5 unitswith a 99% confidence when thepopulation standard deviationequals 8 is:о а. 14O b. 110с. 189

From the provided information, Population standard deviation (σ) = 8 and E = 1.5 Confidence level =…

Answered: The sample size needed to estimate a…

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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Use the given data to find the 95% confidence interval estimate of the population mean u. Assume that the population has a normal distribution. IQ scores of professional athletes: Sample size n = 30 Mean x = 106 Standard deviation s = 12
A variable of a population has a mean of u=89 and a standard deviation of o=18. A. Identify the sampling distribution of the sample mean for samples of size 36. B. In answering part (a), what assumptions did you make about the distribution of the variable? C. Can you answer part (a) if the sample size is 25 instead of 36? Why or why not? what is the mean of the sampling distribution?
We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=26.1. We would like to be 99% confident that the estimate is within 3 of the true population mean. How large of a sample size is required?
A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
GIVEN: POPULATION MEAN: 94.60 AND POPULATION STANDARD DEVIATION: 2.3324What is the percentage that a random sampling of five out of fifteen responders on the pre-test scored at least 95 out of 100?
B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
C. To assess the actual mean weight of apples, a farm manager selected a random sample of 75 apples. He found that the sample mean weight was 126.2 grams with standard deviation 8.7 grams. With what degree of confidence can we say that the confidence limits are (126.2±2.57) grams?
Solve the problem. Find the standardized test statistic t for a sample with n = 15, x = 8.7, s = 0.8, and a = 0.05 if Ho: Hs 8.4. Round your answer to three decimal places. a. 1.452 b. 1.631 c. 1.728 d. 1.312
Use the information provided to find the minimum sample size required to estimate an unknown parameter Mean(u). How many students should be randomly selected to estimate the average weekly earnings of students at a university? We want 80% confidence that the sample mean is within $ 3 of the population mean and the population standard deviation is known to be $ 57. Select one: a. 978 b. 362 c. 1388 d. 594 e. 2397
Given the situation or problem, determine what is being asked. A random sample of size n = 16 was drawn from a population. If it is known that the population has mean μ = 32 and a standard deviation σ = 5, determine the standard error of the sampling distribution of the mean.
1. Find the sample standard deviation from the following data. 1420,1223,988,694,730,836,721,742,541,623,1449,950 2., Construct a 99%confidence interval for the population mean μ.

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The sample size needed to estimate a population mean within 1.5 units with a 99% confidence when the population standard deviation equals 8 is: O a. 14 O b. 110 c. 189