Answer:
(1238.845 ;1285.376)
Step-by-step explanation:
Conditions for constructing a confidence interval :
Data must be random
Distribution should be normal and independent ;
Based on the conditions above ; data meets initial conditions ;
C. I = sample mean ± margin of error
Given the data :
1241 1210 1267 1314 1211 1299 1246 1280 1291
Mean, xbar = Σx / n = 11359 / 9 = 1262.11
The standard deviation, s = [√Σ(x - xbar)²/n - 1]
Using a calculator ; s = 37.525
The confidence interval :
C.I = xbar ± [Tcritical * s/√n]
Tcritical(0.10 ; df = n - 1 = 9 - 1 = 8)
Tcritical at 90% = 1.860
C. I = 1262.11 ± [1.860 * 37.525/√9]
C.I = 1262.11 ± 23.266
(1238.845 ;1285.376)
± 23.266
The margin of error :
[Tcritical * s/√n]
[1.860 * 37.525/√9]
C.I = ± 23.266
Answer: The answer is Thus, a force of 132 N is needed to accelerate a skier, having a mass of 66 kg, by 2 m/s^2.
Step-by-step explanation:
Answer:
The correct answer is "Investigating the mean of the sample is the same as investigating the sampling distribution of the mean"
Step-by-step explanation:
For sampling distribution of the mean, if the size of population is n, and its mean is μ and the population standard deviation is σ, then the mean of all sample means also becomes equal to the population mean μ but for that the samples are taken randomly from the given population
Step-by-step explanation:
see the photo for explanation
