3) The data below is for a sample of 12 'x' measurements from a normally distributed process: observation 1 2 3 4 5 6 8 9 10 X 1.85 1.9 2.01 b) 1.77 1.82 c) 1.93 1.75 1.86 1.99 1.00 a) Use a hypothesis test to see if the mean > 1.80 with a = 0.01. Calculate the 2-sided 90% confidence interval for μ. Calculate the 1-sided upper (bound) 99% confidence interval for μ. d) What is the sample standard deviation of the mean? Is this the same as the sample standard deviation for the

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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3) The data below is for a sample of 12 'x' measurements from a normally distributed
process:
observation
1
5
6
7
8
9212
10
2
3
4
11
X
1.85
1.9
2.01
1.77
1.82
1.93
1.75
1.86
1.99
1.98
1.69
1.83
a) Use a hypothesis test to see if the mean μ> 1.80 with
a = 0.01.
b)
c)
Calculate the 2-sided 90% confidence interval for μ.
Calculate the 1-sided upper (bound) 99% confidence
interval for μ.
d)
What is the sample standard deviation of the mean? Is
this the same as the sample standard deviation for the
process?
Transcribed Image Text:3) The data below is for a sample of 12 'x' measurements from a normally distributed process: observation 1 5 6 7 8 9212 10 2 3 4 11 X 1.85 1.9 2.01 1.77 1.82 1.93 1.75 1.86 1.99 1.98 1.69 1.83 a) Use a hypothesis test to see if the mean μ> 1.80 with a = 0.01. b) c) Calculate the 2-sided 90% confidence interval for μ. Calculate the 1-sided upper (bound) 99% confidence interval for μ. d) What is the sample standard deviation of the mean? Is this the same as the sample standard deviation for the process?
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