Answer:
16,015≤x≤22,585
Step-by-step explanation:
Formula for calculating the confidence interval is expressed as:
CI = xbar ± z *(s/√n) where;
xbar is the mean tuition = 19,300
s is the standard deviation = 10,600
n is the sample size = 40
z is the z-score at 95% confidence interval = 1.960
Substitute the values into the equation
CI = 19300 ± (1.960) *(10,600/√40)
CI = 19300± (1.960) *(10,600/6.325)
CI = 19300± (1.960) *(1,675.889)
CI = 19300±3,284.743
CI = [19300-3,284.743, 19300+3,284.743]
CI = [16,015.257, 22584.74]
CI = [16,015, 22585] (to nearest whole number)
Hence a 95% confidence interval for the mean tuition for all colleges and universities in the United States is 16,015≤x≤22,585
