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 0.05 significance level.

(a) The claim is that the mean difference (x - y)is more than 10 mm (?d > 10). Whattype of test is this? This is a two-tailed test. This is a left-tailed test.     This is a right-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 H0 fail 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 enough data to support the claim that, on average,people are more than 10 mm taller in the morning than atnight.    We reject the claim that, on average, people are more than 10 mmtaller in the morning than at night. We have proven that, on average, people are more than 10 mmtaller in the morning than at night.

AMHeight (x)	PMHeight (y)	(x - y)
1772	1763	9
1413	1401	12
1518	1511	7
1622	1612	10
1404	1397	7
1489	1476	13
1793	1780	13
1567	1555	12
1484	1473	11
1639	1626	13
1586	1571	15
1633	1622	11
1596	1584	12
1423	1407	16
1578	1567	11
1541	1525	16
1507	1492	15
1473	1455	18
1429	1420	9
1492	1482	10
1607	1599	8
1769	1757	12
1754	1746	8
1632	1624	8
1491	1484	7
1505	1496	9
1451	1438	13
1662	1656	6
1519	1509	10
1649	1637	12