Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23.   Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test.    Values for right-tail areas under the t-distribution curve   Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom           60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652 67 1.294 1.668 1.996 2.383 2.651 68 1.294 1.668 1.995 2.382 2.650 69 1.294 1.667 1.995 2.382 2.649

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study:

  • The alternative hypothesis Ha:μ>7.2.
  • The sample mean number of hours slept per night by the 63 adults is 7.52 hours.
  • The sample standard deviation is 1.14 hours.
  • The test statistic is calculated as 2.23.

 

Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. 

 

Values for right-tail areas under the t-distribution curve

 

Probability 0.10 0.05 0.025 0.01 0.005
Degrees of Freedom          
60 1.296 1.671 2.000 2.390 2.660
61 1.296 1.670 2.000 2.389 2.659
62 1.295 1.670 1.999 2.388 2.657
63 1.295 1.669 1.998 2.387 2.656
64 1.295 1.669 1.998 2.386 2.655
65 1.295 1.669 1.997 2.385 2.654
66 1.295 1.668 1.997 2.384 2.652
67 1.294 1.668 1.996 2.383 2.651
68 1.294 1.668 1.995 2.382 2.650
69 1.294 1.667 1.995 2.382 2.649

 

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