Answer:
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
(35.9573, 38.8427)
Lower limit = 35.9573
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 35
Given that the mean of sample x⁻ = 37.4gms
Given that the standard deviation of the sample 'S' = 4.2 gms
Level of significance = 0.05
Degrees of freedom
γ = n-1 = 35-1 = 34
t₀.₀₅ = 2.0322
Step(ii):-
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]
(37.4 - 1.4427 , 37.4+1.4427)
(35.9573, 38.8427)
Final answer:-
Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
Lower limit = 35.9573
