AM -vs- PM Height (Raw Data, SoftwareRequired):
It is widely accepted that people are a little taller in themorning than at night. Here we perform a test on how big thedifference is. In a sample of 30 adults, the morning height andevening height are given in millimeters (mm) in the table below.Use this data to test the claim that, on average, people are morethan 10 mm taller in the morning than at night. Test this claim atthe 0.01 significance level.

(a) The claim is that the mean difference (x - y)is more than 10 mm (μd > 10). Whattype of test is this? This is a two-tailed test.This is a right-tailedtest.    This is a left-tailed test. (b) What is the test statistic? Round your answer to 2decimal places. t d = (c) Use software to get the P-value of the test statistic.Round to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? reject H0fail to rejectH0     (e) Choose the appropriate concluding statement. The data supports the claim that, on average, people are morethan 10 mm taller in the morning than at night.There is not enoughdata to support the claim that, on average, people are more than 10mm taller in the morning than at night.    Wereject the claim that, on average, people are more than 10 mmtaller in the morning than at night.We have proven that, onaverage, people are more than 10 mm taller in the morning than atnight.    Â

     AMHeight (x) PMHeight (y) (x - y) 1584 1575 9 1429 1416 13 1502 1494 8 1477 1468 9 1766 1758 8 1598 1586 12 1490 1478 12 1768 1755 13 1696 1684 12 1557 1545 12 1432 1418 14 1753 1743 10 1786 1772 14 1719 1704 15 1752 1742 10 1683 1667 16 1598 1585 13 1714 1696 18 1459 1449 10 1683 1674 9 1685 1676 9 1484 1472 12 1762 1754 8 1481 1472 9 1656 1649 7 1669 1660 9 1542 1529 13 1585 1579 6 1728 1719 9 1571 1560 11

Additional Materials