Answer:
Degree of freedom = 2
Expected frequency = 80%
Critical value, = 5.991
χ² statistic = 3.5
Step-by-step explanation:
Given the data :
Hong Kong New York Paris
Yes 86% 76% 78%
No 14% 24% 22%
The degree of freedom for the Chisquare statistic is given as :
(no of rows - 1) * (number of columns - 1)
Number of rows = 2
Number of columns = 3
. Degree of freedom = (2-1) * (3-1) = 1*2 = 2
Expected frequency = (Row total * column total) / grand total
The expected frequency of Hong Kong / Yes cell :
Row total = (86+76+78) = 240
Column total = (86+14) = 100
Grand total, N = (14+24+22)+240 = 300
Expected frequency = (240*100)/300 = 80%
The critical value :
At α - level = 0.05 ; df = 2
Critical value = 5.991
χ² = Σ(observed - Expected)² / Expected
The expected values :
80 80 80
20 20 20
Hence,
χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20
χ² statistic = 3.5
Answer:
a) Lower limit range = 119.7 ≈ 120
b) Upper limit range = 136.8 ≈ 137
Step-by-step explanation:
Given:
a) Lower limit range = 
Therefore,
For the given person of age 43 years old
substituting the value of age in the above equation, we get
Lower limit range = 
or
Lower limit range = 119.7 ≈ 120 beats per minute
b) The upper limit range = 
Therefore,
For the given person of age 43 years old
substituting the value of age in the above equation, we get
Upper limit range = 
or
Upper limit range =
or
Upper limit range = 136.8 ≈ 137 beats per minute
Answer:
-16.02
Step-by-step explanation:
I assume the "......" is a variable replacement. I will use x instead.
0.18 = x - - 18 + - 1.8
Negative + Negative = Positive
0.18 = x + 18 + - 1.8
Positive + Negative = Negative
0.18 = x + 18 - 1.8
Combine like terms
0.18 = x + 16.2
Subtract both sides by 16.2 to isolate the variable x
0.18 - 16.2 = x + 16.2 - 16.2
-16.02 = x + 0
-16.02 = x
Check your work:
Plug in -16.02 into the original equation
0.18 = -16.02 + 18 - 1.8
They should equal each other; let's check to make sure
0.18 = 1.98 - 1.8
0.18 = 0.18
They equal each other so our answer is correct
The integers are 3,4,5
As they asked between 2,6.
Answer:
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Step-by-step explanation:
