Population has mean M and variance S2 , By Simple random sampling,
get size n=10 sample....
Population has mean M and variance S2 , By Simple random sampling,
get size n=10 sample. If Xbar is estimator of population mean,
explain variance/bias/sampling error of estimator.
Simple random sampling uses a sample of size n from a population
of size N to obtain data that can be used to make inferences about
the characteristics of a population. Suppose that, from a
population of 52 bank accounts, we want to take a random sample of
four accounts in order to learn about the population. How many
different random samples of four accounts are possible?
A simple random sample of size n=40 is drawn from a population.
The sample mean is found to be x=121.7 and the sample standard
deviation is found to be s=13.3.
Construct a 99% confidence interval for the population
mean.
The lower bound is
(Round to two decimal places as needed.)
A simple random sample of size n= 40 is drawn from a population.
The sample mean is found to be x= 120.6 and the sample standard
deviation is found to be
s 13.3 Construct a 99% confidence interval for the population
mean.
A random sample n=30 is obtained from a population with unknown
variance. The sample variance s2 = 100 and the sample
mean is computed to be 75. Test the hypothesis at α = 0.05 that the
population mean equals 80 against the alternative that it is less
than 80. The null hypothesis Ho: µ = 80 versus the alternative H1:
Ho: µ < 80.
Calculate the test statistic from your sample mean. Then
calculate the p-value for this test using...
A simple random sample has a sample size of n = 65. Given the
population is normally distributed, find the critical value ta/2
corresponding to a 99% confidence level.
a) 2.678
b) 2.575
c) 2.000
d) 2.660
A simple random sample of size n is drawn. The sample mean is
found to be 17.6, and the sample standard deviation, s, is found
to be 4.7.
A). Construct a 95% confidence interval about if the sample
size, n, is 51.
A simple random sample of size n is drawn. The sample mean is
found to be 17.6, and the sample standard deviation, s, is found
to be 4.7.
Construct a 99% confidence interval about if the sample size,
n, is 34.
A simple random sample of size n=36 is obtained from a
population with mean=89 and standard deviation = 6
(c) What is P ( x overbar less than or equal to 86.65)?
(d) What is P(88.5 < x overbar < 91.25)?
(a) Describe the sampling distribution of x overbar.
(b) What is P ( x overbar > 90.85 )?
Sample size (n)
Sample mean (x̄)
Sample Variance ()
Stun gun
10
13.6667
3.5152
Poisoned M&M
10
12.25
3.8409
Murder hornet
10
14.0833
0.5184
(1) If the high voltage stun gun was the murder
weapon, then victim must have been electrocuted. Suppose
that it take 5 direct shocks with the stun gun to kill a victim and
that the probability of a direct shock on any given attempt is
0.8.
Assume that the murderer took 6 attempts.
(a) Which probability...
A simple random sample of size
n equals n=40
is drawn from a population. The sample mean is found to be
x overbar equals 120.3
and the sample standard deviation is found to be
s equals 12.3
Construct a 99% confidence interval for the population
mean.