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Mathematics, 22.04.2020 20:59 jpsaad00

A company polls its customers asking what their favorite product is – the red toy, blue toy, or green toy. Fifty thousand people responded, so the company looked at 100 samples of size 10. The red toy was the most popular, with a mean of the sampling distribution of the proportion at 0.7 and a standard deviation of 0.2. What can the company conclude?

Since only a small percentage of responses were looked at, this data isn’t accurate and the company can’t conclude anything.
Since the mean of the sampling distribution is 0.7 and the standard deviation is 0.2, in most of the samples the red toy was the clear winner, so the red toy is likely most popular among all the customers overall.
70% of all the customers polled prefer the red toy.
Somewhere between 25,000 and 45,000 of the customers polled prefer the red toy.

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