Question

*A standardized test for high school students is given to a
random sample of 16 students. The average time required to finish
the test for the students in the sample is recorded as 48 minutes
with a standard deviation of 6 minutes. We want to evaluate the
null hypothesis that the time required to finish the test for the
whole population of high school students is at most 45 minutes on
average.*

Answer #1

Solution :

= 45

=48

S =6

n = 16

This is the left tailed test .

The null and alternative hypothesis is ,

H0 : = 45

Ha : < 45

Test statistic = t

= ( - ) / S / n

= (48 - 45 ) / 6 / 16

= 2

Test statistic = t = 2

P-value =0.9680

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