Question

A manufacturer of game controllers is concerned that their controller may be difficult for​ left-handed users. they set out to find lefties to test. suppose that about 1818​% of the population is​ left-handed. they select a sample of sixsix customers at random in their stores. complete parts​ (a) through​ (c) below. ​a) how many lefties do you expect in the​ sample? you can expect 1.08 1.081.08 lefty​ (lefties). ​(type an integer or a​ decimal.) ​b) what do you expect the sample standard deviation to​ be?

Answer 1

Part A:

Given that 18% of the population is left handed, in a sample of 6 customers, we expect to see 0.18 x 6 = 1.08 lefties.



Part B:

Given that the proportion of lefties is 18% or 0.18 and the proportion of non-lefties is 100 - 18 = 82% or 0.82.

Since the sample size is 6, the sample standard deviation is given by:

$s=\sqrt{npq} \\ \\ =\sqrt{6\times0.18\times0.82} \\ \\ =\sqrt{0.8856}=0.94$