Question

Given the following null and alternate hypotheses:

H0:μ≥4350

HA:μ<4350

α=0.05

If the true population mean is actually 4337.1, assuming the population standard deviation is 200 and sample size is 100 calculate the power of the test? Round your answer to 4 decimal places.

Answer 1

solution:2

.

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H0:μ≥4350

HA:μ<4350

Test statistic = z

= ( - ) / / n

= (4337.1-4350) / 200 / 100

Test statistic = -2.88

P(z <-2.88 ) = 0.0020

P-value = 0.0020

=0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the