Question

You wish to test the following claim (HA) at a significance
level of a= 0.002

Ho: μ = 77.4

Ha : μ > 77.4

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size

n = 14 with mean M = 82.9 and a standard deviation of SD
=8.6

What is the test statistic for this sample? (Report answer
accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

p-value =

Answer #1

Solution:

Given that,

= 77.4

M = 82.9

s = 8.6

n = 14

The test statisc t is,

t = (M - ) / (s /n)

t =( 82.9- 77.4) / (8.6 / 14 )

t = (5.5 * 8.6 /14 )

t= 2.393

t = 2.393

Test statistic = 2.393

This is the right tailed test .

P-value = 0.0163

= 0.002

P-value >

0.0163 > 0.0163

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