Question
In: Statistics and Probability
A simple random sample of 17 observations is derived from a normally distributed population with a...
A simple random sample of 17 observations is derived from a
normally distributed population with a known standard deviation of
3.5. [You may find it useful to reference the z
table.]
a. Is the condition that X−X− is normally distributed
satisfied?
-
Yes
-
No
b. Compute the margin of error with 99%
confidence. (Round intermediate calculations to at least 4
decimal places. Round "z" value to 3 decimal places and
final answer to 2 decimal places.)
Margin of error ______________
c. Compute the margin of error with 95%
confidence. (Round intermediate calculations to at least 4
decimal places. Round "z" value to 3 decimal places and
final answer to 2 decimal places.)
Margin of error ______________
d. Which of the two margins of error will lead to
a wider interval?
-
The margin of error with 99% confidence.
-
The margin of error with 95% confidence.
Solutions
Expert Solution
Answer:
Given that:
A simple random sample of 17 observations is derived from a normally distributed population with a known standard deviation of 3.5.
a) Is the condition that X is normally distributed satisfied?
Yes
Sampling distribution of sample means follow normal distribution irrespective of sample size,when population is normally distributed.
b) Compute the margin of error with 99% confidence
c) Compute the margin of error with 95% confidence
d) Which of the two margins of error will lead to a wider interval?
The margin of error with 99% confidence.
orchestra answered 1 year agoRelated Solutions
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