In: Math
Which are people more likely to do accidentally, put colored clothes in with the white clothes wash, or white clothes in with the colored clothes wash? Principia Martindale surveys 4800 people, and asks them to tell her over a month-long period how many items of mismatched clothes they put in their colored and white washes. She finds that on average people put 2.4 white clothes in with the colored wash (variance=4.1), and 4.8 colored clothes in with the white wash (variance=3.2). The sample distributions appear to be normally distributed. Do people put more whites in with coloreds, or more coloreds in with whites? one-sample z-test (single-sample z-test) repeated-measures t-test (i.e., dependent samples t-test) Independent-measures ANOVA Repeated-measures ANOVA (i.e., dependent samples ANOVA) two-way ANOVA
Solution:
Sample 1: white clothes in with the colored wash
Sample 2: colored clothes in with the white wash
Here n = sample size = 4800
The provided sample means are shown below:
Xˉ1=2.4 and Xˉ2=4.8
Also, the provided population variance are:
= 4.1 and = 3.2
Hence, standard deviations
σ1=2.02 and σ2=1.79
Done