how many ninths does it take to make the same amount as 1/3.Explain your answer in words and pictures
1 answer:
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Answer:
a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
b) p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the population = 10
Sample size 'n'= 35
Mean of the sample x⁻ = 14.44
Standard deviation of the sample 's' = 4.45
Level of significance ∝ = 0.01
<u><em>Step(ii)</em></u>:-
<em>Null Hypothesis H₀</em> : μ >10
<em>Alternative Hypothesis</em> : H₁ : μ < 10
Test statistic
t = 5.903
Degrees of freedom = n-1 = 35-1 = 34
tabulated value t₀.₀₁,₃₄ = 2.572
The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
<u><em>p- value</em></u> :
p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
The answers to this questions would be:
1. A-> (1.5, 1.5) 5. A and B-> 7 units
2. B-> (-2, -1.5) 6. C and D-> 3 units
3. C-> (-3.5, 2) 7. B and D-> 1 unit
4. D-> (0.5, 0) 8. A and D-> 8 units
-------------------------------- WORD PROBLEMS------------------------------------------
9. 8 feet
10a. (-4, -1) 10b. (4, 1)
