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3. A random sample of 30 individuals is obtained from a large population with a known...

3. A random sample of 30 individuals is obtained from a large population with a known standard deviation of  = 4.6. If the sample mean is observed to be 17.12, test H0:    > 18 versus the alternative H1:    < 18 using the p-value approach at the  = 0.05 level of significance. What is the p-value value of the test?

Round your answer to the nearest thousandths.

Answer =

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Answer #1

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :   18

H1 : 18

Test statistic = z

= ( - ) / / n

= (17.12 - 18) / 4.6 / 30 = -1.048

Test statistic = -1.048

P(z < -1.048) = 0.147

P-value = 0.147

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