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.
Assuming , which one below describes the rejection region?
The region to the right of 1.753
The region to the left of -1.753
The region to the left of -2.131
The region that lies to the left of -1.753 plus the region that lies to the right of 1.753
The region to the right of 2.131
The region that lies to the left of -2.131 plus the region that lies to the right of 2.131
level of significance 0.05
Given that ,
s = 6
n = 16
The null and alternative hypothesis is ,
H0 : = 45
Ha : 45
This is the left tailed test .
Test statistic = T
= ( - ) / s / n
= ( 48 - 45 ) / 6 / 16
The test statistic = 2
df = n - 1 = 16 - 1 = 15
t ,df = t0.05 ,15 = -1.753
t < -1.753
The critical value = -1.753
Answer = The region to the of -1.753
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