CAN SOMEONE PLEASE HELP Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet. They had the subjects stand on a force platform and have them react to a noise. The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013). Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm? Test at the 5% level.

Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects

19

30

20

19

29

25

21

24

50

Reject H0 and conclude that adults sway more than the mean forward sway for younger people.

Step-by-step explanation:

H0 : μ = 18.125

H0 : μ > 18.125

Sample data: 19 30 20 19 29 25 21 24 50

Sample size, n = 9

Sample mean, xbar = Σx / n = 237 / 9 = 26.333

Sample standard deviation, s = 9.772 (calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (26.333 - 18.125) ÷ (9.772/√(9))

T = 8.208 / 3.2573333

T = 2.519 = 2.520

Decison :

Reject H0 ; If Pvalue < α

The Pvalue :

Degree of freedom, df = n - 1 ; df = 9 - 1 = 8

Pvalue(2.520; 8) = 0.0179

Since 0.0179 < 0.05 ; WE reject H0 and conclude that adults sway more than the mean forward sway for younger people.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph