u1-u2 = 10 m = 25 Sd = 17.35 mean = 14.75 n = 25 sd...

u1-u2 = 10

m = 25

Sd = 17.35

mean = 14.75

n = 25

sd = 15.22

mean = 22.32

can u do the hypothesis test by using the t test

thanks

Expert Solution

Ho :   µ1 - µ2 =   10
Ha :   µ1-µ2 ╪   10

Level of Significance ,    α =    0.05

Sample #1   ---->   1
mean of sample 1,    x̅1=   14.750
standard deviation of sample 1,   s1 =    17.3500
size of sample 1,    n1=   25

Sample #2   ---->   2
mean of sample 2,    x̅2=   22.320
standard deviation of sample 2,   s2 =    15.2200
size of sample 2,    n2=   25

difference in sample means =    x̅1-x̅2 =    14.7500   -   22.3   =   -7.57

pooled std dev , Sp=   √([(n1 - 1)s1² + (n2 - 1)s2²]/(n1+n2-2)) =    16.3198
std error , SE =    Sp*√(1/n1+1/n2) =    4.6159

t-statistic = ((x̅1-x̅2)-µd)/SE = (   -7.5700   -   10   ) /    4.62   =   -3.806

Degree of freedom, DF=   n1+n2-2 =    48

p-value =        0.0004   (excel function: =T.DIST.2T(t stat,df) )
Conclusion:     p-value <α , Reject null hypothesis

orchestra answered 2 years ago

u1-u2 = 10 m = 25 sd = 15.22 mean = 22.32 n = 25 Sd...

u1-u2 = 10 m = 25 sd = 15.22 mean = 22.32 n = 25 Sd = 17.35 mean = 14.75 can u do the hypothesis test by using the t test thanks

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