A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on games, with a standard deviation of $62. Another company is also interested in the amount game consumers spend, and surveys a random sample of 250 gamers, over all interest levels, and finds that the average gamer spends $250 a year on games, with a standard deviation of $15. Why is the second survey more believable than the first?

Question

Mathematics

Samantha Lyons

Yesterday, 14:42

A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on games, with a standard deviation of $62. Another company is also interested in the amount game consumers spend, and surveys a random sample of 250 gamers, over all interest levels, and finds that the average gamer spends $250 a year on games, with a standard deviation of $15. Why is the second survey more believable than the first?

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Dominick Hughes · Answer 1

Multi facets

Step-by-step explanation:

First company surveys best customers so they are highest spending

First company standard deviation is high @ $62 so their spends are $606 a year plus or minus $180 (rounded up)

Second company has a Random sample so includes all customers

Second company has larger number of responses

Second company has a range of plus or minus $40