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data("ToothGrowth")
boxplot(ToothGrowth$len)
hist(ToothGrowth$len)
#Q3: H0=17, H1>17
#Q4: 단측검정, 17 이상인지 확인한다.
#Q5: t-value, 표본 표준편차 사용
sample_mean<-mean(ToothGrowth$len)
sample_std_dev<-sd(ToothGrowth$len)
population_mean<-17
sample_size<-length(ToothGrowth$len)
t_value<-(sample_mean-population_mean)/(sample_std_dev/sqrt(sample_size))
P_value<-1-pt(t_value, df=sample_size-1)
P_value
## [1] 0.0356806
#Q8: P-value<0.05, 귀무가설 기각, 평균 이빨 길인는 17 이상이다.