AM -vs- PM Height (Raw Data, Software Required): It is widely accepted that peop
ID: 3218338 • Letter: A
Question
AM -vs- PM Height (Raw Data, Software Required):
It is widely accepted that people are a little taller in the morning than at night. Here we perform a test on how big the difference is. In a sample of 30 adults, the morning height and evening height are given in millimeters (mm) in the table below. Use this data to test the claim that, on average, people are more than 10 mm taller in the morning than at night. Test this claim at the 0.05 significance level.
This is a right-tailed test.
This is a left-tailed test.
This is a two-tailed test.
(b) What is the test statistic? Round your answer to 2 decimal places.
td =
(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 reject H0
The data supports the claim that, on average, people are more than 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 at night.
We reject the claim that, on average, people are more than 10 mm taller in the morning than at night.
We have proven that, on average, people are more than 10 mm taller in the morning than at night.
(a) The claim is that the mean difference (x - y) is more than 10 mm (d > 10). What type of test is this?
This is a right-tailed test.
This is a left-tailed test.
This is a two-tailed test.
(b) What is the test statistic? Round your answer to 2 decimal places.
td =
(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 reject H0
(e) Choose the appropriate concluding statement.
The data supports the claim that, on average, people are more than 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 at night.
We reject the claim that, on average, people are more than 10 mm taller in the morning than at night.
We have proven that, on average, people are more than 10 mm taller in the morning than at night.
AM Height (x) PM Height (y) (x - y) 1681 1674 7 1425 1411 14 1421 1413 8 1426 1415 11 1689 1681 8 1553 1540 13 1634 1620 14 1566 1554 12 1436 1424 12 1693 1680 13 1704 1690 14 1622 1612 10 1543 1530 13 1793 1777 16 1581 1570 11 1638 1621 17 1484 1471 13 1678 1658 20 1594 1583 11 1634 1625 9 1511 1503 8 1739 1728 11 1550 1540 10 1527 1520 7 1605 1598 7 1686 1676 10 1700 1687 13 1689 1682 7 1519 1511 8 1725 1714 11Explanation / Answer
1)This is a right-tailed test.
2)
test stat t=2.1721
P-value =0.0189
reject H0
The data supports the claim that, on average, people are more than 10 mm taller in the morning than at night.
AM Pm difference(d) 1681 1674 7 1425 1411 14 1421 1413 8 1426 1415 11 1689 1681 8 1553 1540 13 1634 1620 14 1566 1554 12 1436 1424 12 1693 1680 13 1704 1690 14 1622 1612 10 1543 1530 13 1793 1777 16 1581 1570 11 1638 1621 17 1484 1471 13 1678 1658 20 1594 1583 11 1634 1625 9 1511 1503 8 1739 1728 11 1550 1540 10 1527 1520 7 1605 1598 7 1686 1676 10 1700 1687 13 1689 1682 7 1519 1511 8 1725 1714 11 mean 11.267 std deviaition 3.1941 std error= std dev/(n)^(1/2) 0.5832 t stat= (d-10)/std error 2.1721Related Questions
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