Question

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 table for all the sample means: Write ?(?), in fractions (do not reduce).

x̅ | P(x̅) | x̅ | P(x̅) | x̅ | P(x̅) |

1 | 0/49 | 6 | 11 | ||

2 | 1/49 | 7 | 12 | ||

3 | 2/49 | 8 | 13 | ||

4 | 9 | 14 | |||

5 | 10 | 15 | 0/49 |

(d) Draw the probability distribution histogram using ? and ?(?) superimposed with a bell curve. Clearly label and mark your graph.

Now enter all the sample means ? in ?2, and corresponding probabilities ?(?) in ?3.

(e) Find ?? .

(f) Find ?? .

(g) Find ?? 2 (exact).

Answer #1

1. Two dice are rolled. There are 36 possible outcomes, the
sample space is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)
(2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3)
(4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2)
(6,3) (6,4) (6,5) (6,6)
A = ‘second roll is a 6’
B = ‘sum of two dice equals 7’
C = ‘sum of two dice equals 3’
a. What is P(B|A)?
b. What is...

Question 1: Roll two fair dice. Then the sample space S is the
following.
S =
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Let E be the event that the sum of the dice is odd, let F be the
event that the first die lands on 1,
and let G...

2. Consider a ten-sided die of which the sides display the
numbers 1, 2, 3, and 4 according to this table:
side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3
4
Rolling two such dice is an experiment with the sample space S =
(1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1)
(3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...

9K)Below is a list of all possible outcomes in the experiment of
rolling two die. (If the grid pops up twice, pay attention to only
one table. Having formatting issues, apologies! And thank you for
your help!
1,1
1,2
1,3
1,4
1,5
1,6
2,1
2,2
2,3
2,4
2,5
2,6
3,1
3,2
3,3
3,4
3,5
3,6
4,1
4,2
4,3
4,4
4,5
4,6
5,1
5,2
5,3
5,4
5,5
5,6
6,1
6,2
6,3
6,4
6,5
6,6
Determine the following probabilities. Write your answers...

A population consists of the following five values: 1, 2, 4, 4,
and 6.
a) List all samples of size 2 from left to right, and compute
the mean of each sample. (Round your mean value to 1
decimal place.)
Samples
Values
Sum
Mean
1
2
3
4
5
6
7
8
9
10
b) Compute the mean of the distribution of sample means and the
population mean. Compare the two values. (Round your
answers to 1 decimal place.)
Sample...

Website 1
Website 2
12
13
4
12
13
4
10
2
6
7
A market analyst wants to know if the new website he designed is
showing increased page views per visit. A customer is randomly sent
to one of two different websites, offering the same products, but
with different designs. The accompanying table shows the data from
five randomly chosen customers from each website. Complete parts a
through e below.
LOADING...
Click the icon to view the data...

(Q5.1) Consider the samples {1, 2, 3, 4, 5, 6}. Using a random
number generator, obtain three different bootstrap samples and
their respective means. What is the bootstrap estimate of the
standard error of the sample mean using these three replicates?

Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8, 3, 1,
12, 15, 13}, which is the data of a sample taken from a larger
population. Please Solve NOT Using Excel
Calculate the mean deviation Show all work! (5
pts)
Mean= 7
MD= (|5-7|+ |4-7|+
|6-7|+|14-7|+|2-7|+|2-7|+|11-7|+| 4-7|+ |5-7|+| 8-7|+|
3-7|+|1-7|+|12-7|+ |15-7|+| 137|)/7
Mean deviation = 4.13
Calculate the variance Show all work! (5
pts)
Calculate the standard deviation Show all
work! (5...

Pair 1 2 3 4 5 6 7 8 9 10
Medication 7 8 9 5 6 7 7 8 8 7
Placebo 5 5 7 6 8 7 5 9 3 7
(Note: If you’re going to subtract, choose the order medication
- placebo.)
A sample of patients with similar weight and age characteristics
were put in pairs. One patient in the pair was given medication
while the other patient was given a placebo. After a month patients
were...

Consider the following data. −1, 12, −10, −6, −6, −2, 4, −7
Step 1 of 3: Determine the mean of the given data.
Step 2 of 3: Determine the median of the given data.
Step 3 of 3: Determine if the data set is unimodal, bimodal,
multimodal, or has no mode. Identify the mode(s), if any exist.
Separate multiple modes with commas, if necessary.

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