Problem 1. (1 point) You have information to suggest that a certain continuous variable of a population has a mean of μ = 8.82 and a standard deviation of σ 5.57. You are to randomly pick n = 70 individuals from this population and observe the value of the population variable on each. This value is to measured as Xi. After the random sample of n = 70 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 ⚫ is exactly Normal ⚫is skewed to the right ⚫has an unknown shape with a mean μx = and a standard deviation σx: = (b) Find the probability that mean of the sample of n = 70 is be- tween 8.22 and 9.22. Use at least four decimals in your z-values, and enter your answer to at least four decimals. Answer(s) submitted: • no response • no response • no response ⚫ no response submitted: (incorrect) recorded: (incorrect)

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Problem 1. (1 point)
You have information to suggest that a certain continuous variable
of a population has a mean of μ = 8.82 and a standard deviation
of σ 5.57. You are to randomly pick n = 70 individuals from
this population and observe the value of the population variable
on each. This value is to measured as Xi.
After the random sample of n = 70 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
⚫ is exactly Normal
⚫is skewed to the right
⚫has an unknown shape
with a mean μx =
and a standard deviation σx:
=
(b) Find the probability that mean of the sample of n = 70 is be-
tween 8.22 and 9.22. Use at least four decimals in your z-values,
and enter your answer to at least four decimals.
Answer(s) submitted:
•
no response
•
no response
• no response
⚫ no response
submitted: (incorrect)
recorded: (incorrect)
Transcribed Image Text:Problem 1. (1 point) You have information to suggest that a certain continuous variable of a population has a mean of μ = 8.82 and a standard deviation of σ 5.57. You are to randomly pick n = 70 individuals from this population and observe the value of the population variable on each. This value is to measured as Xi. After the random sample of n = 70 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 ⚫ is exactly Normal ⚫is skewed to the right ⚫has an unknown shape with a mean μx = and a standard deviation σx: = (b) Find the probability that mean of the sample of n = 70 is be- tween 8.22 and 9.22. Use at least four decimals in your z-values, and enter your answer to at least four decimals. Answer(s) submitted: • no response • no response • no response ⚫ no response submitted: (incorrect) recorded: (incorrect)
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