Question

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14 17 17 18 19 21 12 15 16 15 10 10 17 12 14 16 12 13 17 17 13 15 12 14 16 15 15 15 12 18 13 12 15 10 13 11 16 14 10 15 14 15 12 16 11 17 16 10 15 11 19 15 20

Metal price: 13 12 16 5 7 8 6 10 11 9 6 16 15 15 9 17 6 10 11 7 8 11 22 21 11 6 11 10 17 12 13 11 16 18 12 11 11 8 8 18 5 5 9 10 9 14 8 9 8 7 6 12 12 15 19 4 6 15 9 5 15 9 8 6 7 5 12 4 16 15 6 11 17 7 5 16 13 12 17 17 9 19 19 2 15 5 13 7 11 15 14 9 10 11 6 19 19 10 7 9 10 18 15 16 8 11 13 14 11 7 7 5 7 15 13 6 17 12 12 15 9 13 21 17 5 17 12 14 14 13

QUESTION: FIRST QUARTILE OF THE CORK PRICE , SECOND QUARTILE OF THE CORK PRICE, THIRTH QUARTILE OF THE CORK PRICE, INTERQUARTILE RANGE OF THE CORK PRICE

Answer #1

Cork Price

Total 130 Observations

**Question:**

**First Quartile of the Cork Price:**

First Data arrange in Ascending order.

Then we find out Quartile..

Q_{k} = size of {k * (n+1)/4}^{th} item.

Q_{1} = size of {1 * (130+1)/4}^{th} item.

Q_{1} = size of {32.75}^{th} item.

Q_{1} = size of {32}^{th} item + 0.75 * (size of
33^{th} item - size of 32^{th} item)

Q_{1} = 12 + 0.75 * (12 - 12)

**Q _{1} = 12**

**Second Quartile = Median**

**Q**_{2}= Median = Average of Two Middle
values of Ordered data

Here, Middle values are:14 & 14

So, Q_{2} = (14+14) / 2 = 14

**Third Quartile (Q _{3}):**

Q_{k} = size of {k * (n+1)/4}^{th} item.

Q_{3} = size of {3 * (130+1)/4}^{th} item.

Q_{3} = size of {98.25}^{th} item.

Q_{3} = size of {98}^{th} item + 0.25 * (size of
99^{th} item - size of 98^{th} item)

Q_{3} = 16 + 0.25 * (16 - 16)

**Q _{3}**=

Inter Quartile Range of the Cork Price = Q_{3} -
Q_{1}

Inter Quartile Range of the Cork Price = 16 - 12

**Inter Quartile Range of the Cork Price = 4**

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14
14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18
11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18
18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...

Indices DUR DUR (OLD)
1 6 11
2 13 14
3 11 14
4 7 10
5 9 9
6 7 10
7 8 11
8 5 8
9 7 6
10 7 10
11 7 13
12 3 5
13 10 13
14 3 15
15 4 12
16 9 7
17 9 8
18 10 13
19 6 10
20 8 14
21 10 14
22 8 18
23 2 10
24 4 11
25 7 16
26 ...

Traditionally, wine has been sold in glass bottles with cork
stoppers. The stoppers are supposed to keep air out of the bottle
because oxygen is the enemy of the wine. Particularly red wine.
Recent research appears to indicate that metal screw caps are more
effective in keeping air out of the bottle. However, metal caps are
perceived to be inferior and usually associated with cheaper brands
of wine. A random sample of 130 people who drink at least one
bottle...

6. Using the class data (see Blackboard file - "Class Survey
Data - PSS-10 and GAS") calculate the correlation between the GAS –
Goal disengagement and the GAS – Goal reengagement scores. Write
the results in a statistical statement.
7. Using the class data calculate the correlation between the
GAS – Goal disengagement and the PSS-10 scores. Write the results
in a statistical statement.
8. Using the class data calculate the correlation between the
GAS – Goal reengagement scores and...

Consider the following data set.
14
27
13
14
15
14
11
13
21
11
25
26
29
a)
Determine the quartiles for this data.
b)
Determine the interquartile range for this data.
a)
The first quartile is
nothing,
the second quartile is
nothing,
and the third quartile is
nothing.
(Type integers or decimals.)
b)
The interquartile range is
nothing.
(Type an integer or a decimal.)

Assuming that the population standard deviation is
unknown, calculate the 95% confidence interval of the
population mean.
The following is the data. Calculating Process should be shown
by Excel (Formulas). What formulas in statistics are used?
7
21
23
24
18
16
2
19
11
6
3
13
17
9
5
12
13
17
4
14
15
25
12
24
22
14
14
20
15
11
26
17
21
11
4
13
16
14
13
14
25
23
9
15...

Test, at the 1% level of significance, whether the average
business has more than 15 employees.
Answer using excel.
Employees
14
17
17
6
8
17
21
16
6
17
11
17
15
16
20
19
6
12
17
22
20
17
11
11
9
22
17
18
21
20
26
7
16
19
18
11
21
17
25
16
22
14
14
16
18
20
21
11
19
13
6
11
19
14
18
31
13
15
17
21...

Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
7
23
9
11
4
6
60
2
16
16
4
7
9
4
56
3
14
14
3
10
5
11
57
4
13
14
7
8
8
6
56
5
18
12
7
10
5
7
59
6
12
9
11
9
8
8
57
7
15
16
6
6
6
8
57
8
15
17
8
4
6
7
57
9
12
14
10
5...

Consider the magic matrix:
A = np.array([[17, 24, 1, 8, 15],
[23,
5, 7, 14, 16],
[
4, 6, 13, 20, 22],
[10,
12, 19, 21, 3],
[11,
18, 25, 2, 9]])
The matrix A has 5 row sums (one for each row), 5 column
sums (one for each column) and two diagonal sums. These 12 sums
should all be exactly the same. Verify that they are the same by
printing them and “seeing” that they are the same.

Data Set A: 11, 12, 13
Data Set B: 9, 10, 11, 12, 13, 14, 15
Data Set C: 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Find the mean, sample standard deviation–treating the data as a
sample, and the population standard deviation–treating the data as
a population.

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