Question
In: Statistics and Probability
Q8. Using the Student's distribution table, answer the following questions: a) In order to examine whether...
Q8. Using the Student's distribution table, answer the following questions: a) In order to examine whether the socio-economic levels of families have an impact on the development of children, the height of the boys of the same age from the families with high and low socioeconomic level was measured and the following findings were obtained.
|
High |
Low |
|||
|
Ẋ |
S |
Ẋ |
S |
|
|
Height (cm) |
107.4 |
6 |
104.2 |
5 |
|
Number of children |
30 |
40 |
||
Since it is known that it fits the normal distribution in both distributions, are the lengths of these two groups of children different? First write the hypothesis and test it at the error level of α = 0.05 and interpret the results.
b) A researcher who investigates whether the order of birth affects the intelligence level of the child or not, acquires the following findings as a result of the intelligence test applied on the children.
|
Birth in the first 3 |
Birth in the 4th and above |
|
|
Ẋ |
110 points |
105 points |
|
S |
10 points |
12 points |
|
Number of children |
30 |
32 |
Solutions
orchestra answered 1 year agoRelated Solutions
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the
Student's t distribution. Use an appropriate d.f. as the row
header. For a right-tailed test, the column header is the value of
α found in the one-tail area row. For a left-tailed test, the
column header is the value of α found in the one-tail area row, but
you must change the sign of the critical value t to −t. For a
two-tailed test, the column header is the value...
13) The Student's t distribution table gives critical values for the Student's t distribution. Use an...
13)
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...
12) The Student's t distribution table gives critical values for the Student's t distribution. Use an...
12)
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
αfound in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value of...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...
Answer the following questions: (a) Show that the following is a tautology by using truth table...
Answer the following questions: (a) Show that the following is a
tautology by using truth table and using list of equivalences.
(This problem should be solved using 2 different methods mentioned
above). ((¬p −→ q) ∧ (¬p −→ ¬q)) −→ p (b) Show that the compound
propositions are logically equivalent, by using truth table and
using list of equivalences. ¬p ∨ (r −→ ¬q) and (¬p ∨ ¬q) ∨ ¬r (c)
Show that the propositions ¬p ∨ (¬r ∨ q)...
Using the mtcars dataset, answer the following questions: Fill in the following table: Variable Correlation with...
Using the mtcars dataset, answer the following questions:
Fill in the following table:
Variable
Correlation with mpg
cyl
-0.85216
disp
-0.84755
hp
-0.77617
drat
0.681172
wt
-0.86766
qsec
0.418684
vs
0.664039
am
0.599832
gear
0.480285
carb
-0.55093
mpg
cyl
disp
hp
drat
wt
qsec
vs
am
gear
carb
Mazda RX4
21
6
160
110
3.9
2.62
16.46
0
1
4
4
Mazda RX4 Wag
21
6
160
110
3.9
2.875
17.02
0
1
4
4
Datsun 710
22.8
4
108...
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