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The height of the basketball team is 1.7, 1.8, 1.9, 2.05, 2, 1.95, 2.1, 1.99, 2.

ID: 3075290 • Letter: T

Question

The height of the basketball team is 1.7, 1.8, 1.9, 2.05, 2, 1.95, 2.1, 1.99, 2.02, 1.85. Is it okay to assume that these data come from a normal distribution with mean 1.9 and standard deviation 0.2?
The height of the basketball team is 1.7, 1.8, 1.9, 2.05, 2, 1.95, 2.1, 1.99, 2.02, 1.85. Is it okay to assume that these data come from a normal distribution with mean 1.9 and standard deviation 0.2?
The height of the basketball team is 1.7, 1.8, 1.9, 2.05, 2, 1.95, 2.1, 1.99, 2.02, 1.85. Is it okay to assume that these data come from a normal distribution with mean 1.9 and standard deviation 0.2?

Explanation / Answer

here we can use SHAPIRO -WILK test to check normality of data by using R software.

x=c(1.7,1.8,1.9,2.05,2,1.95,2.1,1.99,2.02,1.85)
> shapiro.test(x)

Shapiro-Wilk normality test

data: x
W = 0.95651, p-value = 0.7455

> As we can see that P vale (.7455) is greater than level of significance (alpha=0.05 or 0.01)

Hence we accept null hypothesis and say that Data comes from normal population.