Question

1.       H0: mean = 9

H1: mean > 9

A test is performed with a sample of size 49. The sample mean was 13.0 and the population standard deviation is 14. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round to 4 decimal places.

2.       H0: mean = 7

H1: mean =- 7 (not equal to 7)

A test is performed with a sample of size 36. The sample mean was 2.26 and the population standard deviation is 18. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round to four decimal places.

Answer 1

X?= 13

n= 49

sigma= 14

H0: u= 9

H1: u> 9...... Right tail test

Test Statistics

Z=(X?-u)*sqrt(n)/sigma

=(13-9)*sqrt(49)/14

=2

P-value=1-P(Z<2)= 0.022750132

rounded p-value= 0.02275

2)

x(bar)=2.26

n=36

sigma= 18

H0: u= 7

H1: u? 7(not equal)...... two tail test

Test Statistics

Z= (X?-u)*sqrt(n)/sigma

=(2.26-7)*sqrt(36)/18

=-1.58

P-value=P(Z<-1.58)=0.057053433

rounded p-value= 2*0.05705 (this p-value is for one tail to get p-value for two tail we need to multiply it by 2.)

p-value=0.1141

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