Question

Exercise 10-2

[The following information applies to the questions displayed below.]

A sample of 38 observations is selected from a normal population. The sample mean is 18, and the population standard deviation is 3. Use the .01 significance level.

H₀: μ ≤ 17

H₁: μ >17

References

12.

value:
10.00 points

Required information

Exercise 10-2 Part c

What is the value of the test statistic? (Round your answer to 2 decimal places.)

Value of the test statistic

Answer 1

Solution :

Given that,

Population mean = = 17

Sample mean = = 18

Population standard deviation = = 3

Sample size = n = 38

Level of significance = = 0.01

This is a right tailed test.

The test statistics,

Z =( - )/ (/n)

= (18 - 17 ) / ( 3 /38)

= 2.05

The value of test statistic is 2.05