Question

In: Statistics and Probability

A sample taken from a population yields a sample mean of 58.3 Calculate the​ p-value for...

A sample taken from a population yields a sample mean of

58.3

Calculate the​ p-value for parts a through d below.

a.

Upper H Subscript Upper AHA​:

muμgreater than>58

n​ =

16

sigmaσ

​= 1.0

b.

Upper H Subscript Upper AHA​:

muμnot equals≠46

n​ =

51

s​ = 34.973

c.

Upper H Subscript Upper AHA​:

muμnot equals≠46

n​ =

51

sigmaσ

​= 34.973

d.

Upper H Subscript Upper AHA​:

muμless than<66

​data:

60.7

54.3

57.2

54.9

64.4

Round to three decimal places as needed

Solutions

Expert Solution

a) Test statistic

                        

                         = 1.2

P-value = P(Z > 1.2) = 1 - P(Z < 1.2) = 1 - 0.8849 = 0.1151

b) Test statistic

                        

                         = 2.512

P-value = 2 * P(t50 > 2.512) = 2 * 0.0076 = 0.0152

c) Test statistic

                        

                         = 2.512

P-value = 2 * P(Z > 2.51) = 2 * (1 - P(Z < 2.51)) = 2 * (1 - 0.9940) = 0.012

orchestra answered 2 years ago
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