Math Problem Statement
A random sample of 40 college students has a mean earnings of $3120 over the summer months. Assume the population standard deviation of earnings over the summer months for college students is $677 and that the distribution of earnings over the summer months for college students is normally distributed. Determine whether a normal distribution or a t-distribution should be used or whether neither of these can be used to construct a confidence interval.
Question content area bottom
Part 1
A.
Cannot use a normal distribution or a t-distribution.
B.
Use a normal distribution.
C.
Use a t-distribution.
Solution
To determine which distribution to use for constructing a confidence interval, let's consider the following factors:
- Sample Size: The sample size is ,
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Intervals
Normal Distribution
t-Distribution
Formulas
-
Theorems
-
Suitable Grade Level
College Level
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