Question

Find the p-value for the hypothesis test. A random sample of size 50 is taken. The sample has a mean of 420 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.*

Answer #1

this is the two tailed test .

The null and alternative hypothesis is ,

H0 : = 400

Ha : 400

Test statistic = z

= ( - ) / / n

= (420-400) / 81 / 50

= 1.75

P(z > 1.75) = 1 - P(z <1.75 ) = 1-0.9599=0.0401

P-value = 2*0.0401=0.0802

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Your answer should be rounded to 4 decimal places.

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Find the p -value for the hypothesis test. A random sample of
size 51 is taken. The sample has a mean of 423 and a standard
deviation of 84. H 0 : µ = 400 H a : µ > 400 The p -value for
the hypothesis test is . Your answer should be rounded to 4 decimal
places.

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size 51 is taken. The sample has a mean of 423 and a standard
deviation of 84. H 0 : µ = 400 H a : µ ≠ 400 The p -value for the
hypothesis test is . Your answer should be rounded to 4 decimal
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