Question

Find the p-value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean of 369 and a standard deviation of 84.

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

Solution :

This is the left tailed test,

The null and alternative hypothesis is ,

H0 : = 400

Ha : < 400

Test statistic = t =

= ( - ) / s / n

= (369 - 400) / 84 / 53

Test statistic = t = -2.69

degrees of freedom = n - 1 = 53 - 1 = 52

P(t < -2.69 )

P-value = 0.0048

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size 53 is taken. The sample has a mean of 424 and a standard
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H0: µ = 400
Ha: µ > 400
The p-value for the hypothesis test is .
Your answer should be rounded to 4 decimal places.

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H0: µ = 400
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Your answer should
be rounded to 4 decimal places.

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Your answer should be rounded to 4 decimal places.

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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
places.

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size 52 is taken. The sample has a mean of 425 and a standard
deviation of 86.
H0: µ = 400
Ha: µ > 400
The p-value for the hypothesis test is
ROUND TO 4 DECIMAL PLACES. THANKS IN ADVANCE.

Find the p -value for the hypothesis test. A random sample of
size 53 is taken. The sample has a mean of 424 and a standard
deviation of 83.
H 0 : µ = 400
H a : µ ≠ 400
The p -value for the hypothesis test is

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size 51 is taken. The sample has a mean of 392 and a standard
deviation of 83. H 0 : µ = 400 H a : µ< 400.
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(Rounded to 4 decimal places)

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