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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3425cae7-78b6-4102-b4ec-611d4b67bd59%2Ffe70ca35-9f40-42ee-af0b-61cb8bc76c88%2Fg0web7_processed.png&w=3840&q=75)
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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