A sample taken from a population yields a sample mean of 583

A sample taken from a population yields a sample mean of 58.3 Calculate the p-value for parts a through d below. a. Ha: >58 n=16 Alpha 1.6 b Ha doesn’t equal 46 n =51 s=34.543 c Ha doesn’t equal 46 n =51 Alpha=34.543 d Ha < 67 data: 58.8, 56.3, 57.5, 53.7, 65.2

Solution

a)

H0: µ=58

H1: >58

t statistic = (58.3-58)/ 4.29127/ sqrt(16)

P value = p(t>0.279637)

= 0.3917876

b)

H0: µ=46

H1: 46

t statistic = (58.3-46)/ 4.29127/ sqrt(51)

= 0.499253

P value = p(t>0.499253)

= 0.3098954

c)

H0: µ=46

H1: 46

t statistic = (58.3-46)/ 4.29127/ sqrt(51)

= 0.499253

P value = p(t>0.499253)

= 0.3098954

d)

H0: µ=67

H1: <67

t value = (58.3-67)/ 4.29127/ sqrt(5)

= - 4.533341273

P value= p(t < - 4.533341273)

=0.005275226