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Find the p-value for the hypothesis test. A random sample of size 50 is taken. The...

Find the p-value for the hypothesis test. A random sample of size 50 is taken. The sample has a mean of 375 and a standard deviation of 81.

H0: µ = 400

Ha: µ< 400

The p-value for the hypothesis test is .

Your answer should be rounded to 4 decimal places.

Solutions

Expert Solution

this is the left tailed test .  

The null and alternative hypothesis is ,

H0 :   = 400

Ha : <400

Test statistic = z

= ( - ) / / n

= (375 - 400) / 81 / 50

Z= -2.18

P(z < -2.18) = 0.0146

P-value = 0.0146 ( using z table )

orchestra answered 2 years ago
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