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.*

**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

Answer #1

Solution :

Given that ,

= 45

= 48

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

= 2

**The test statistic = 2**

= 0.05

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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