Attitudes In the study of older students’ attitudes from Exercise 63, the sample mean SSHA score was 125.7and the sample standard deviation was 29.8.

(a) Calculate the test statistic.

(b) Find the P-value using Table B. Then obtain a more precise P-value from your calculator.

Short Answer

Expert verified

a.z=2.41

b.p-value=0.0101. Using calculatorp-value=0.0080

Step by step solution

01

Given information

Attitudes In the study of older students’ attitudes from Exercise 63, the sample mean SSHA score was 125.7and the sample standard deviation was 29.8.

02

Explanation (part a)

Test statistic:

The Zscore is shown below by plugging the known values:

z=x¯μoσ/n=125.711529.8/45=2.41

03

Explanation (part b)

p-value approach:

p-value=P(z2.41)=1P(z2.41)=1.9899=.0101

Use Table Bto find the above p-value.

RejectH0

Conclusion: μ>115

To obtain a more precise p-value from your calculator:

p-value=P(z2.41)=1P(z2.41)=1.9920=.0080

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