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A sample data is drawn from a normal population with unknown mean µ and known standard...

A sample data is drawn from a normal population with unknown mean µ and known standard deviation σ = 5. We run the test µ = 125 vs µ < 125 on a sample of size n = 100 with x = 120. Will you be able to reject H0 at the significance level of 5%?

A. Yes

B. No

C. Undecidable, not enough information

D. None of the above

Math   Statistics-And-Probability   
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Answer #1

This is the left tailed test .

The null and alternative hypothesis is

H0 : = 125

Ha : < 125

Test statistic = z

= ( - ) /    / n

= (120 - 125) / 5 / 100

= -10

Test statistic = -10

P-value = 0.0000

P-value <

Reject the null hypothesis .

A) Yes

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