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Question
chin researched the amount of money 150 students earned per month from jobs held during the summer. he created a table of six sample means from his collected data.
| sample number | sample mean ($) |
|---|---|
| 2 | 235 |
| 3 | 245 |
| 4 | 207 |
| 5 | 205 |
| 6 | 210 |
using his results, what is a valid prediction about the mean of the population?
the predicted mean of the population will be less than 200.
the predicted mean of the population will be less than 245.
the predicted mean of the population will be more than 275.
the predicted mean of the population will be more than 250.
Step1: Calculate the mean of the sample means.
$\frac{208 + 235+245+207+205+210}{6}=\frac{1310}{6}\approx218.33$
Step2: Analyze the options.
The mean of the sample means is approximately 218.33. This value is less than 245.
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The predicted mean of the population will be less than 245.