Question

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 39 doors is taken, and it is found that they have a mean of 2069 millimeters. Assume a population standard deviation of 24. Is there evidence at the 0.02 level that the doors are either too long or too short?

Step 1 of 3:

State the null and alternative hypotheses.

Step 2 of 3:

Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 3 of 3:

Make the decision to reject or fail to reject the null hypothesis.

Answer #1

Solution :

= 2058

=2069

=24

n = 39

This is the right tailed test .

The null and alternative hypothesis is ,

H0 : < 2058

Ha : >2058

Test statistic = z

= ( - ) / / n

= (2069 -2058) / 24 / 39

= 2.86

P(z > 2.86 ) = 1 - P(z < 2.86 ) = 1 -0.9979

P-value =0.0021

= 0.02

P-value <

0.0021 < 0.02

Reject the null hypothesis .

There is sufficient evidence to suggest that

A carpenter is making doors that are 2058 millimeters tall. If
the doors are too long they must be trimmed, and if they are too
short they cannot be used. A sample of 34doors is taken, and it is
found that they have a mean of 2048 millimeters. Assume a
population variance of 441. Is there evidence at the 0.1 level that
the doors are too short and unusable?
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A carpenter is making doors that are 2058 millimeters tall. If
the doors are too long they must be trimmed, and if they are too
short they cannot be used. A sample of 34 doors is taken, and it is
found that they have a mean of 2048millimeters. Assume a population
variance of 441. Is there evidence at the 0.1 level that the doors
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Step 4 of 6:
Find the P-value of the test statistic....

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deviation of 6.0 Is there evidence at the 0.1 level that the doors
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Step...

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Step 1 of 5:...

A carpenter is making doors that are 2058millimeters tall. If
the doors are too long they must be trimmed, and if they are too
short they cannot be used. A sample of 34 doors is taken, and it is
found that they have a mean of 2048 millimeters. Assume a
population variance of 441. Is there evidence at the 0.1level that
the doors are too short and unusable?
Step 1 of 6:
State the null and alternative hypotheses.
Answer
2...

A carpenter is making doors that are 2058millimeters tall. If
the doors are too long they must be trimmed, and if they are too
short they cannot be used. A sample of 34 doors is taken, and it is
found that they have a mean of 2048 millimeters. Assume a
population variance of 441. Is there evidence at the 0.1 level that
the doors are too short and unusable?
Step 5 of 6:
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short they cannot be used. A sample of 34 doors is made, and it is
found that they have a mean of 2043.0 millimeters. Assume the
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