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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bc9b698-be66-4b29-9a3e-a4caab926364%2F4451e48d-23f7-4e69-b775-a7a93366cf8e%2F3164rc6_processed.png&w=3840&q=75)
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.
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