> x=c(5,3,1,6,4,3,2,4,7)
> y=c(7,4,1,8,5,2,4,7,9)
> mean(x)
[1] 3.888889
> mean(y)
[1] 5.222222
> sd(x)
[1] 1.900292...
> x=c(5,3,1,6,4,3,2,4,7)
> y=c(7,4,1,8,5,2,4,7,9)
> mean(x)
[1] 3.888889
> mean(y)
[1] 5.222222
> sd(x)
[1] 1.900292
> sd(y)
[1] 2.728451
> t.test(x,y,var.equal=T)
Two Sample t-test
data: x and y
t = -1.203, df = 16, p-value = 0.2465
alternative hypothesis: true difference in means is not equal to
0
95 percent confidence interval:
-3.682888 1.016221
sample estimates:
mean of x mean of y
3.888889 5.222222
> t.test(x,y,var.equal=F)
Welch Two Sample t-test
data: x and y
t = -1.203,...
1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in
?1,...
1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in
?1, and then
(a) Take samples of size 2 with replacement from this
population, list all your samples in the table below:
2,2
2,4
2,6
2,8
4,2
4,4
4,6
6,2
8,2
10,2
(b) Now find the mean of each sample, and place all the sample
means in the table below:
2
3
4
5
6
7
3
4
4
(c) Complete the following probability distribution...
Suppose a population consists of the four numbers 2, 4, 6 and
8. Consider all random...
Suppose a population consists of the four numbers 2, 4, 6 and
8. Consider all random samples of size n that can be formed by
sampling with replacement.
Hint: Consider the box below when we make n draws with
replacement.
What is the sampling distribution of sample mean when n
=25?
A) Approximately Normal [5, 0.48]
B) Approximately Normal [6, 0.49]
C) Approximately Normal [4, 0.49]
D) Approximately Normal [6, 0.24]
E) Approximately Normal [4, 0.24]
F) Approximately Normal...
Exercise 10-6 (LO10-4) The waiting time for customers at
MacBurger Restaurants follows a normal distribution with...
Exercise 10-6 (LO10-4) The waiting time for customers at
MacBurger Restaurants follows a normal distribution with a
population standard deviation of 1 minute. At the Warren Road
MacBurger, the quality-assurance department sampled 50 customers
and found that the mean waiting time was 2.75 minutes. At the 0.05
significance level, can we conclude that the mean waiting time is
less than 3 minutes? State the null hypothesis and the alternate
hypothesis. State whether the decision rule is true or false:
Reject...