Maintaining your balance may get harder as you grow older.A study was conducted to see how steady the elderly are on their feet. The data is in following table

Table: Balance (in mm) of Older Adults

19, 30, 20, 19, 29, 25, 21, 24, 50

Do the data show that the elderly have less balance than the mean balance of younger people, which is 18.125 mm?Test at the 5% level.

Find:

H₀

_H1

_{Sample Mean}

_{Sample Standard Deviation}

_{Test Statistic}

_P-value