The following are the daily number of steps taken by a certa

The following are the daily number of steps taken by a certain individual for 20 days:

2100, 1950, 2043, 2210, 2018, 1984, 1992, 2218, 2152, 2106, 2072, 2096, 2244, 1962, 1938, 1898, 2103, 2206, 2007, 1956

Assuming that the daily number of steps is normally distributed, construct a...

a) 95 percent two-sided confidence interval for the mean number of steps

b) 99 percent two-sided confidenec interval for the mean number of steps

mean= 2062.75, s=104.34, and n=20

Solution

std error = s/rt 20 = 2.312

Mean = 2062.75

. Hence a) (2058.22, 2067.28)