1. Will the shape of the distribution of "number of siblings" affect the results of this hypothesis test? Why or why not?

H_o: = 3.5

H₁: 3.5

TEST STAT

T - test:

t = ( x - ) / (/sqrt(n))

where:

x = sample mean

= population mean

= sample standard deviation

n = sample size

given:

= 3.5

x = 3.93

= 3.047

n = 1505

*test statistic (t) = (3.93 - 3.5)/(3.047/sqrt(1505))

test statistic (t) = 5.47

PVALUE

*to find the p-value using Excel the degrees of freedom and number of tails is needed.

*Degree of Freedom:

DF = n - 1

where:

n= sample size

DF = 1505 - 1

DF = 1504