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Our sample size is n=25 for a quality of life (QOL) measurement from a population with a normal distribution with μ=10 and σ=6. a) What is the expected mean and the standard error for a sample size of n=25? b) What is the probability that the sample mean will be greater than 10? Pro we 0.9 0.9 1.02 1.0 ő ő

Our sample size is n=25 for a quality of life (QOL) measurement from a population with a normal distribution with μ=10 and σ=6. a) What is the expected mean and the standard error for a sample size of n=25? b) What is the probability that the sample mean will be greater than 10? Pro we 0.9 0.9 1.02 1.0 ő ő

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Our sample size is n=25 for a quality of life (QoL) measurement from a population with a normal distribution with μ=10 and o=6. a) What is the expected mean and the standard error for a sample size of n=25? b) What is the probability that the sample mean will be greater than 10? We now take a sample of size n=16 for a quality of life (QoL) measurement from a population with a normal distribution with μ-8 and σ=6. a) What is the expected mean and standard error for a sample size of n=16? b) What is the probability that the sample mean will be less than 10? A sample of size n = 100 produced the sample mean of m= 17. Assuming the population standard deviation o = 4, compute a 95% confidence interval for the mean m. Assuming the population standard deviation o=4, how large should a sample size be to estimate the population mean μ with margin of error not exceeding 0.5? (With 95% confidence.) To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1.00 gram is repeatedly weighed 36 times. The resulting measurements (in grams) are shown to the right. Assume that the measured values are normally distributed. Use these data to compute a 95% confidence interval of the mean. Prob [5] weight(g) 0.932979 0.9985 1.020818 1.040727 1.011207 0.968857 1.027251 0.953533 0.986898 0.976004 1.047735 0.958451 1.007717 0.880931 1.102071 0.962264 0.985708 0.88476 0.965137 1.028819 0.962748 1.047765 0.907684 0.9474 1.049368 1.033281 0.96526 0.989381 1.06484 0.857259 0.942749 1.014474 0.958725 1.011039 0.868325 0.986705
Transcribed Image Text:Our sample size is n=25 for a quality of life (QoL) measurement from a population with a normal distribution with μ=10 and o=6. a) What is the expected mean and the standard error for a sample size of n=25? b) What is the probability that the sample mean will be greater than 10? We now take a sample of size n=16 for a quality of life (QoL) measurement from a population with a normal distribution with μ-8 and σ=6. a) What is the expected mean and standard error for a sample size of n=16? b) What is the probability that the sample mean will be less than 10? A sample of size n = 100 produced the sample mean of m= 17. Assuming the population standard deviation o = 4, compute a 95% confidence interval for the mean m. Assuming the population standard deviation o=4, how large should a sample size be to estimate the population mean μ with margin of error not exceeding 0.5? (With 95% confidence.) To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1.00 gram is repeatedly weighed 36 times. The resulting measurements (in grams) are shown to the right. Assume that the measured values are normally distributed. Use these data to compute a 95% confidence interval of the mean. Prob [5] weight(g) 0.932979 0.9985 1.020818 1.040727 1.011207 0.968857 1.027251 0.953533 0.986898 0.976004 1.047735 0.958451 1.007717 0.880931 1.102071 0.962264 0.985708 0.88476 0.965137 1.028819 0.962748 1.047765 0.907684 0.9474 1.049368 1.033281 0.96526 0.989381 1.06484 0.857259 0.942749 1.014474 0.958725 1.011039 0.868325 0.986705
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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