After the random sample of n = 71 has been taken, you are asked to consider the behavior of the statistic X. (a) Complete the statement below. Use as many decimals as you can. The distribution of X is approximately Normal with a mean μ = 9.13 and a standard deviation = 0.7916 (b) Find the probability that mean of the sample of n = 71 is between 8.53 and 9.53. Use at least four decimals in your z-values, and enter your answer to at least four decimals.

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
Section13.3: Special Probability Density Functions
Problem 53E
icon
Related questions
Question
You have information to suggest that a certain continuous variable of a population has a mean of μ = 9.13 and a standard deviation of
o = 6.67. You are to randomly pick n = 71 individuals from this population and observe the value of the population variable on each. This
value is to measured as X₁.
After the random sample of n = 71 has been taken, you are asked to consider the behavior of the statistic X.
(a) Complete the statement below. Use as many decimals as you can.
The distribution of X is approximately Normal with a mean x =
9.13 and a standard deviation x = 0.7916
(b) Find the probability that mean of the sample of n = 71 is between 8.53 and 9.53. Use at least four decimals in your z-values, and enter
your answer to at least four decimals.
Transcribed Image Text:You have information to suggest that a certain continuous variable of a population has a mean of μ = 9.13 and a standard deviation of o = 6.67. You are to randomly pick n = 71 individuals from this population and observe the value of the population variable on each. This value is to measured as X₁. After the random sample of n = 71 has been taken, you are asked to consider the behavior of the statistic X. (a) Complete the statement below. Use as many decimals as you can. The distribution of X is approximately Normal with a mean x = 9.13 and a standard deviation x = 0.7916 (b) Find the probability that mean of the sample of n = 71 is between 8.53 and 9.53. Use at least four decimals in your z-values, and enter your answer to at least four decimals.
Expert Solution
steps

Step by step

Solved in 3 steps with 20 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt