The graph above shows the average number of hours per week a person spends watching television in a number of different countrie
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Answer:
|t| =|-0.96|=0.96< 2.718
since calculated' t' value is less than tabulated value 't'.
we accept null hypothesis at 1 % level of significance.
The data support the claim that the mean cost of a daily news paper is $1.00
Step-by-step explanation:
<u>Step:-(1)</u>
Given the sample size n = 12
Given Twelve costs yield a mean cost of $0.95 with a standard deviation of $0.18
mean of the sample(x⁻) = $0.95
Standard deviation of sample (S) = $0.18
Given claim that the mean cost of a daily newspaper is $1.00.
The mean of the population 'μ' = $1.00.
<u>Null hypothesis:</u>-H₀:'μ' = $1.00.
<u>Alternative hypothesis</u>: H₁:'μ' ≠ $1.00.
<u>level of significance ∝ = 0.01</u>
<u>Step2:-</u>
<u>The test statistic </u>
on calculation, we get
t = -0.96
|t| =|-0.96|=0.96
Degrees of freedom γ = n-1 = 12-1 =11
tₐ = 2.718
Calculated value t = 0.96
Tabulated value t at 0.01 level for 11 degrees for two tailed test = 2.718
since calculated' t' value is less than tabulated value 't'.
<u>conclusion</u>:-
<u>we accept null hypothesis at 1 % level of significance.</u>
<u>The data support the claim that the mean cost of a daily news paper is $1.00</u>
Either would work, but substitution looks a bit easier.
The graph for these two is shown below.
I just put the equations in just as they are written. They did not have to be changed in any way. DESMOS is a wonderful program. Very powerful.
The blue line is 2x + y = - 6
The red line is y = x + 3
The best way to solve this other than a graph is to use substitution. Put the red graph into the blue one.
2x + y = - 6
2x +(x + 3) = - 6
2x + x + 3 = - 6
3x + 3 = - 6 Subtract 3 from both sides.
3x = - 6 - 3
3x = - 9
x = -9/3
x = -3
Now go back and solve for y
y = x + 3
y = -3 + 3
y = 0
Answer
The solution point is (-3,0) just what the graph shows.
