An independent random sample is selected from an approximately normal population

Question

An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at =0.05=0.05.

(a) HA:>0,n=16,T=3.79HA:>0,n=16,T=3.79

The p-value is :

The null hypothesis is rejected (enter either TRUE or FALSE):

(b) HA:<0,n=30,T=1.7HA:<0,n=30,T=1.7

The p-value is :

The null hypothesis is rejected (enter either TRUE or FALSE):

(c) HA:0,n=13,T=0.18HA:0,n=13,T=0.18

The p-value is :

The null hypothesis is rejected (enter either TRUE or FALSE):

(d) HA:>0,n=11,T=2.39HA:>0,n=11,T=2.39

The p-value is :

The null hypothesis is rejected (enter either TRUE or FALSE):

Explanation / Answer

a) for (n-1=15) degree of freedom and given test staitsitc p value =0.0009

null hypothesis is rejected : true

b)

p vlaue =0.0499

null hypothesis is rejected-- true

c)

p value =0.8602

false

d)

p value =0.0190

True

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