Given Ho = M ≥ 45 n = 36 ∞ = 2.0 Ha = M...

Given Ho = M ≥ 45 n = 36 ∞ = 2.0

Ha = M < 45 ẋ = 48

At ∞ = 0.01 do we reject or fail to reject Ho

Expert Solution

Ho :   µ =   45
Ha :   µ <   45       (Left tail test)

Level of Significance ,    α =    0.01
sample std dev ,    s =    2.0000
Sample Size ,   n =    36
Sample Mean,    x̅ =   48.0000

degree of freedom=   DF=n-1=   35

Standard Error , SE = s/√n =   2.0000   / √    36   =   0.3333
t-test statistic= (x̅ - µ )/SE = (   48.000   -   45   ) /    0.333   =   9.000


p-Value   =   1.0000   [Excel formula =t.dist(t-stat,df) ]
Decision:   p-value>α, Do not reject null hypothesis

answer: fail to reject Ho

orchestra answered 2 years ago

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